problem solving decimals grade 6

Decimals (Grade 6)

Related Topics: Common Core for Grade 6 More Lessons for Grade 6

Examples, solutions, videos, and lessons to help Grade 6 students learn to fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Common Core: 6.NS.3

Suggested Learning Targets

• I can add, subtract, multiply, and divide multi-digit decimals
• I can use the standard algorithm when necessary.
• I can fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation with speed and accuracy, without math tools (i.e., calculator).

Component Skills from Previous Grades

6.NS.3 - Adding and Subtracting Decimals

A decimal point is a dot that is used to separate the whole number from the fractional part of a number. To add or subtract decimals:

• Write the numbers vertically with the decimals lined up (if the number is a whole number then the decimal goes on the right end of the number)
• Add zeros to make sure there are the same number of digits in each number.
• Add or subtract as normal.

6.NS.3 - Multiply and Divide Decimals

To Multiply Decimals:

• Multiply like normal.
• Count all the decimal place values.
• Move the decimal that many places to the left.
• Estimate to check.

To Divide Decimals:

• Move decimal in divisor to make a whole number.
• Move decimal in dividend the same amount of spaces.
• Rewrite problem.
• Divide like normal.
• Bring the decimal up.

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Decimal Word Problem Worksheets

Extensive decimal word problems are presented in these sets of worksheets, which require the learner to perform addition, subtraction, multiplication, and division operations. This batch of printable decimal word problem worksheets is curated for students of grade 3 through grade 7. Free worksheets are included.

Adding Decimals Word Problems

Decimal word problems presented here help the children learn decimal addition based on money, measurement and other real-life units.

• Download the set

Subtracting Decimals Word Problems

These decimal word problem worksheets reinforce the real-life subtraction skills such as tender the exact change, compare the height, the difference between the quantities and more.

Decimals: Addition and Subtraction

It's review time for grade 4 and grade 5 students. Take these printable worksheets that help you reinforce the knowledge in adding and subtracting decimals. There are five word problems in each pdf worksheet.

Multiplying Decimals Whole Numbers

Reduce the chaos and improve clarity in your decimal multiplication skill using this collection of no-prep, printable worksheets. A must-have resource for young learners looking to ace their class!

Decimal Division Whole Numbers

Revive your decimal division skills with a host of interesting lifelike word problems involving whole numbers. Keep up with consistent practice and you’ll fly high in the topic in no time!

Multiplying Decimals Word Problems

Each decimal word problem involves multiplication of a whole number with a decimal number. 5th grade students are expected to find the product and check their answer using the answer key provided in the second page.

Dividing Decimals Word Problems

These division word problems require children to divide the decimals with the whole numbers. Ask the 6th graders to perform the division to find the quotient by applying long division method. Avoid calculator.

Decimals: Multiplication and Division

These decimal worksheets emphasize decimal multiplication and division. The perfect blend of word problems makes the grade 6 and grade 7 children stronger in performing the multiplication and division operation.

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Worksheet on Decimal Word Problems

Solve the questions given in the worksheet on decimal word problems at your own space. This worksheet provides a mixture of questions on decimals involving order of operations i.e., addition, subtraction, multiplication and division.

1.  Aaron scored 452.65 marks out of 600 in the final examination. How many marks did he lose?

2.  Amy had 0.87 litre of cold drink.  Flora  had 0.92 litres more cold drink. How much cold drink did Manu have?

3.  The weight of a baby elephant was 218.99 kg. After two years, his weight increased by 109.85 kg. Find the weight of elephant after two years.

4.   Kathi  had a rope of 63.45 m. She cut the rope into two pieces. If the length of one piece was 23.59 m, what was the length of the other piece?

5.  Each side of a regular polygon is 5.2 m and its perimeter is 36.4 m. Find the number of sides of the polygon.

6. Trisha took 3.25 minutes to complete the race and Rachel took 3.207 minutes to complete the race. Who won the race?

7. The annual rainfall received by Arunachal Pradesh is 278.2 cm and that by Assam is 281.8 cm. Who received less rainfall?

8. Sharon’s height is 145.62 cm. She stands on a tool of height 10.50 cm. What is the combined height now?

9. The milkman delivers 5.02 liter of milk to a house in the morning and 2.120 liter in the evening. What is the total quantity of milk delivered by the milkman?

10. Rebecca ‘s kite is flying at a height of 17.2 m and Shelly’s at a height of 21.5 m from the ground. Whose kite is flying high and by how much?

11. A car travels 367.80 km in 6 hours. How much distance will it travel in 1 hour?

12. Ron jogged 2.2 km, Mike jogged 3.7 times more distance than Ron. Find the distance covered by Mike.

13. The daily consumption of milk in a house is 3.25 litres. How much milk will be consumed in 30 days?

14. A tin contains 18.5 litre of oil. How many such tin contain 129.5 litre of oil?

15. Find the cost of 47.2 m cloth if the cost of 1 m cloth is $33.90.

16. Shruti bought a bag for $298.05. She gave the shopkeeper 2 notes of $200. How much money will she get back?

17. A tailor needs 35.25 m of cloth for the shirts and 45.80 m for trousers. How much cloth does the tailor need in all?

18. A spool of thread has a thread measuring 86.50 m. If 42.33 m thread has been cut, what length of thread is still left in the spool?

19. The cost of a chair is $2045.83. Tania wants to buy 6 chairs for her house. How much money will she pay to the shopkeeper?

20. David has a jug full of milk. He pours the complete milk in 4 glasses, each glass of capacity 0.8 l. How much milk was there in the jug?

21. Find the area of a square whose side is 3.60 m.

22. The weight of 1 bag of sugar is 12.5 kg. What is the weight of 15 such bags?

23. A vehicle covers a distance of 48.3 km in 2.3 litre of petrol. How much distance will it cover in 1 litre of petrol?

24. Ron has 3.60 l of juice. He pours it into 9 glasses equally. How much juice is there in each glass?

25. Shelly has a ribbon of length 35.14 m. She cuts it into 7 equal parts. What is the length of each equal part?

26. The cost of 5 pens is $140.50. What is the cost of 1 pen?

27. The weight of a box is 150.094 kg. What will be the weight of 27 such boxes?

28. Sonia has 14.84 l of juice. She pours it into 7 jars equally. How much juice is there in each jar?

Answers for the   worksheet on decimal word problems  are given below to check the exact answer of the above problems.

1.  147.35 marks

2.  1.79 litres

3.  328.84 kg

4.  39.86 m

5.  7 sides

6.  Rachel

7.  Arunachal Pradesh

8.  156.12

9.  7.145 liter

10.  Shelly, 4.3 m

11.  61.3 km

12.  8.14 km

13.  97.5 litres

14.  7 tin

15.  $1600.08

16.  $101.95

17.  81.05 m

18.  44.17 m

19.  $12,274.98

20.  3.2 l

21.  12.96 m 2 

22.  187.5 kg

23.  21 km

24.  0.4 l

25.  5.02 m

26.  $28.10

27.  4052.538 kg

28.  2.12 l

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• 6th Grade Math
• Multiplying and dividing decimals

6th Grade math: Multiplying and dividing decimals worksheets

Hello, and welcome to this enriching 6 th Grade math article! As teachers and parents, we need to set 6 th graders up for advanced math success with basic math concepts like decimals multiplication, and division. Today, we’re excited to share some fantastic multiplying and dividing decimals worksheets perfect for classroom and home use.

6th Grade Math Skills: Learn how to multiply and divide decimals with these fun and engaging worksheets

Are you ready to take your 6th-grade math skills to the next level? Look no further! With Mathskills4kids’ collection of fun and engaging worksheets , learning how to multiply and divide decimals will be a blast. These worksheets are designed to help 6 th Grade students master the fundamentals of decimal operations and develop a deeper understanding of how decimals work in real-life situations.

From calculating the cost of groceries to solving measurement problems, these worksheets are designed to make learning math enjoyable and relevant. Each worksheet is carefully crafted to challenge your problem-solving abilities, providing step-by-step guidance and plenty of practice.

So, whether you're a student looking to sharpen your skills or a parent wanting to support your child's learning journey, these worksheets are the perfect tool to uplift 6th-grade math success.

BROWSE THE WEBSITE

Download free worksheets, grade 6 math topics.

• Whole numbers

Multiplication

• Exponents and square roots
• Number theory
• Add & subtract decimals
• Multiply & divide decimals
• Fractions & mixed numbers
• Add & subtract fractions
• Multiply fractions
• Divide fractions
• Operations with integers
• Mixed operations
• Rational numbers
• Problems solving
• Ratio & proportions
• Percentages
• Measuring units
• Consumer math
• Telling time
• Coordinate graph
• Algebraic expressions
• One step equations
• Solve & graph inequalities
• Two-step equations
• 2D Geometry
• Symmetry & transformation
• Geometry measurement
• Data and Graphs
• Probability

Start practice on Sixth Grade here

Why are multiplying and dividing decimals important in 6th-grade math.

Hey! Do you know why multiplying and dividing decimals are important in 6th-grade math ? Let’s find out together. But before then, let’s recall what decimals are.

Decimals are numbers with a decimal point, such as 0.5, 1.2, or 3.14. They represent fractions or parts of a whole, such as money, measurements, or percentages. Decimals are common in everyday life, so knowing how to work with them is essential.

Multiplying and dividing decimals are two of the most essential operations you'll need to perform with decimals. They allow you to calculate things like how much something costs, how much change you get, how long something takes, or how much of something you have. Multiplying and dividing decimals also help students prepare for more advanced math topics like ratios, proportions, algebra, and geometry.

Multiplying decimals: a step-by-step guide

To multiply decimals , we need to follow these steps:

• Ignore the decimal points and multiply the numbers as if they were whole numbers.
• Count the total number of digits after the decimal points in both numbers.
• Place the decimal point in the answer so that it has the same number of digits after it as the total we counted in Step 2.

For example, let's multiply 0.4 by 0.25:

• Ignore the decimal points and multiply 4 by 25. You get 100.
• Count the total number of digits after the decimal points in both numbers. There are two digits after the decimal point in 0.4 and two after the decimal point in 0.25. The total is four.
• Place the decimal point in the answer so that it has four digits after it. We get 0.0100, which can be simplified to 0.01.

Dividing decimals: a step-by-step guide

To divide decimals , we need to follow these steps:

• Move the decimal point in the divisor (the number you're dividing by) to the right until it becomes a whole number.
• Move the decimal point in the dividend (the number you're dividing) to the right by the same number of places as we moved it in the divisor.
• Divide the numbers as if they were whole numbers.
• Place the decimal point in the answer directly above where it is in the dividend.

For example, let's divide 0.75 by 0.25:

• Move the decimal point in the divisor (0.25) to the right two places until it becomes a whole number (25).
• Move the decimal point in the dividend (0.75) to the right two places too (75).
• Divide the numbers as if they were whole numbers (75 ÷ 25 = 3).
• Place the decimal point in the answer directly above where it is in the dividend (0.75). We get 0.03.

Fun and simple principles for multiplying and dividing decimals

Fun and simple principles for multiplying and dividing decimals are simply short techniques important to sharpen kid’s decimal multiplication and division calculating skills.

1. Multiplying decimals exercises with answers

Multiplying decimals exercises have modelled the simplest and shortest way to arrive at correct answers. The first thing usually is;

• Place your decimal point in your product, making sure that the number of decimal places in the product must equal the total number of decimal places in the factors. Now, we can add our three (3) decimal places to the answer ( 315 ). So we get 0.315 0.35 x 0.9 = 0.315

2. Dividing decimals exercises with answers

Dividing decimals has its own special and short calculating strategy different from multiplication. Here,

In the case where the divisor is a whole number, ( 6.496 ÷ 5 )

• Carry on a normal division process. Put the decimal point in the quotient location directly above its position in the dividend. In the case the divisor is a decimal number ( 250 ÷ 0.8 ), we’ll;
• First of all get rid of the decimal point from the divisor by multiplying it by10 or 100, depending on its number of decimal places, i.e. if the divisor has just one decimal place, we multiply by 10; two decimal places we multiply by 100, etc.
• Secondly, since we’ve multiplied the divisor, we’re obliged to multiply the dividend, so as to create an equilibrium. If we’d multiplied the divisor by either 10 or 100, we’ll also multiply the dividend by 10 or 100 respectively.
• When the products are gotten, we can now do our normal step by step division process.
• Note that, if your answer happens to be in a fraction form or has a remainder, place a decimal point and add a zero to the remainder, then continue dividing.

By so doing, your answer will be in a decimal and not in fraction form.

Review: How to multiply and divide decimals by powers of 10

A power of 10 is a number that has one or more zeros after a one, such as 10, 100, or 1000. Your 6 th Grade students will find multiplying and dividing decimals by powers of 10 to be very easy if they remember this rule:

• To multiply a decimal by a power of 10 , move the decimal point to the right by as many places as there are zeros in the power of 10.
• To divide a decimal by a power of 10 , move the decimal point to the left by as many places as there are zeros in the power of 10.

For example;

To multiply 0.03 by 100, we move the decimal point to the right by two places (because there are two zeros in 100). We’ll get 3.

To divide 3 by 100, we move the decimal point to the left by two places (because there are two zeros in 100). We’ll get 0.03.

Real-life applications of multiplying and dividing decimals

Multiplying and dividing decimals are not just abstract skills that you learn in math class. They are also useful for many real-life situations involving measurements, money, percentages, ratios, rates, etc. Here are some examples of real-life applications of multiplying and dividing decimals :

To find out, you multiply $12.99 by 0.25 (the decimal equivalent of 25%) to get the discount amount: $12.99 × 0.25 = $3.2475. Then subtract that amount from the original price to get the final price: $12.99 - $3.2475 = $9.7425 .

• If you want to make a recipe that calls for 2 cups of flour and only have a measuring cup that holds half a cup, how many times do you have to fill it? To find out, you must divide 2 by 0.5 (the decimal equivalent of half) to get the number of times: 2 ÷ 0.5 = 4. You will fill the measuring cup four times to get 2 cups of flour.
• If you want to convert a temperature from Celsius to Fahrenheit, how do you do it? To find out, you have to use the formula F = C × 1.8 + 32, where F is the temperature in Fahrenheit and C is the temperature in Celsius. For example, if the temperature is 15°C, you have to multiply 15 by 1.8 and then add 32: F = 15 × 1.8 + 32 = 27 + 32 = 59°F.

Bonus: additional resources for practicing decimal skills

If you want to challenge your students with more practice on multiplying and dividing decimals, here are some web links with descriptions that you can check out:

• [ mathsisfun.com ] ( https://www.mathsisfun.com/multiplying-decimals.html ) ( https://www.mathsisfun.com/dividing-decimals.html ): This website has a variety of fun and interactive games that let 6 th Graders practice adding, subtracting, multiplying, and dividing decimals. You can choose their difficulty level for them to play against the computer or a friend.
• [Khan Academy] ( https://www.khanacademy.org/math/arithmetic/arith-decimals ): This website has a comprehensive collection of videos and exercises that cover everything 6 th graders need to know about decimals. They can learn at their own pace and track their progress with quizzes and badges.
• [ Math-drills.com ]( https://www.math-drills.com/decimal.php ): This website has hundreds of printable worksheets students can use to practice decimal skills. They can choose from different topics and difficulty levels and get instant feedback with answer keys.

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

We hope you enjoyed this article and learned much about multiplying and dividing decimals. These skills are fundamental in 6th-grade math and beyond, as they help students solve real-world problems and understand fractions, percentages, ratios, etc.

Using our step-by-step guides, practice worksheets, and additional resources, your 6 th Grade students can master decimal skills and ace their math tests.

Remember to download and print Mathskills4kids 6th Grade math Multiplying and dividing decimals worksheets and check out our bonus resources for more practice.

Have fun and happy learning!

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Free Printable Multiplying Decimals Worksheets for 6th Grade

Multiplying Decimals: Discover a vast collection of free printable math worksheets for Grade 6 students, created by Quizizz to enhance their decimal multiplication skills and understanding.

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Explore printable Multiplying Decimals worksheets for 6th Grade

Multiplying Decimals worksheets for Grade 6 are an essential resource for teachers looking to enhance their students' understanding of Math and Decimals. These worksheets provide a variety of exercises and problems that challenge students to apply their knowledge of decimals in different contexts, such as solving real-world problems, converting fractions to decimals, and performing calculations with decimals. By incorporating these worksheets into their lesson plans, teachers can ensure that their Grade 6 students develop a strong foundation in decimals and become proficient in multiplying decimals. Furthermore, these worksheets can be easily adapted to suit individual learning needs, making them a versatile and valuable addition to any Grade 6 Math curriculum. Multiplying Decimals worksheets for Grade 6 are a must-have for teachers who want to see their students excel in Math and Decimals.

Quizizz is an excellent platform for teachers to access a wide range of Multiplying Decimals worksheets for Grade 6, as well as other Math resources. In addition to worksheets, Quizizz offers interactive quizzes, engaging games, and comprehensive lesson plans that cover various topics in Grade 6 Math, including Decimals. Teachers can easily search for and select the most suitable resources for their students, customizing the content to meet specific learning objectives and preferences. By incorporating Quizizz into their teaching strategies, educators can create a dynamic and interactive learning environment that not only reinforces key concepts in Math and Decimals but also motivates Grade 6 students to actively participate in their learning. With Quizizz, teachers can be confident that they are providing their students with the best possible resources to master Multiplying Decimals and other essential Grade 6 Math skills.

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" class="arrow-title-img"> Decimal worksheets Grade 6

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Get more contents on Grade 6 decimal activities: worksheets, online practice, and lessons...

Our decimal worksheets Grade 6 is designed to build on your kid's prior knowledge of decimal. In this resource, we hope to keep your kids alert and excited while solving fun decimal exercises. We must first recall that a decimal number consists of a whole number and a fractional part, separated by a decimal point (a dot). Thus, this resource will provide you with a variety of fun decimal activities, all related to decimal operations (decimal addition, subtraction, multiplication, and division). Besides using decimal skills in the classroom to build various math skills, you'll discover here that understanding decimals is equally essential in real life.

Your kids will discover many importance and advantages of using decimal numbers and how to use decimals to solve various math and real-life problems. Equally, our fun decimal practice worksheets consist of remarkable exercises that will reinforce your kid's math skills.

Fun decimal practice worksheets with answers

This unique resource offers fun decimal practice worksheets with answers that will build on your 6 th grader's decimal knowledge. These worksheets include; visual models using hundredths grids, putting decimal numbers in order, inequalities with decimals , decimal place values , round decimals, word names for decimal numbers , etc.

After engaging in these decimal worksheets Grade 6 , you'll discover that your kid's decimal skills have increased, and their reasoning and decimal problem-solving skills also have.

Now, let's take, for instance, the decimal place value exercise. Like whole numbers, all the numbers to the right of the decimal point have their place values. Immediately to the right of the decimal point is the tenth , next, the hundredth , followed by the thousandth , etc.

This unique decimal place value worksheet is a building block for all other decimal exercises, like reading and understanding decimal numbers, understanding large and complex numbers easily, regrouping, rounding, estimation, multiple-digit multiplication, and other operations in the decimal system.

Which decimal number is illustrated

Decimal place values

Word names for decimal numbers

Put decimal numbers in orders

Inequqlities with decimals

Round decimals

How can decimal worksheets Grade 6 enhance kids' math and real-life problem-solving skills?

How can decimal worksheets Grade 6 enhance kids' math and real-life problem-solving skills? Constant practice with this fun resource will significantly enhance your kid's math and problem-solving skills.

We must understand that decimals are so important because we use them most often when precision is needed than the whole number can provide. Such instances involve dealing with money, measuring weight, length, fractional amounts, negative quantities below zero, etc. With this in mind, we will provide intriguing activities that will enable 6 th graders to have an overall mastery of the decimal concept.

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Unit 4: Decimals, fractions, and percents

Adding & subtracting decimals.

• Adding decimals word problem (Opens a modal)
• Adding & subtracting decimals word problem (Opens a modal)
• Adding & subtracting decimals word problems Get 3 of 4 questions to level up!

Converting fractions to decimals

• Fractions, decimals, & percentages FAQ (Opens a modal)
• Rewriting decimals as fractions: 2.75 (Opens a modal)
• Worked example: Converting a fraction (7/8) to a decimal (Opens a modal)
• Fraction to decimal: 11/25 (Opens a modal)
• Fraction to decimal with rounding (Opens a modal)
• Write decimals as fractions Get 5 of 7 questions to level up!
• Rewriting decimals as fractions challenge Get 5 of 7 questions to level up!
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Intro to percents

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• Intro to percents Get 5 of 7 questions to level up!
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• Converting percents and fractions review (Opens a modal)
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• Equivalent representations of percent problems Get 3 of 4 questions to level up!

Solving problems with percents

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• Finding percents Get 5 of 7 questions to level up!
• Percent word problems Get 5 of 7 questions to level up!

Multiplying Decimals Worksheets 6th Grade

Multiplying decimals worksheets 6th grade encompasses concepts of multiplication of decimal numbers. These questions are based on simple multiplication problems as well as word problems associated with the concept.

Benefits of 6th Grade Multiplying Decimals Worksheets

Multiplication is one of the basic operations in mathematics. A student should be able to apply multiplication to any type of number. As decimals can prove to be confusing, kids must solve several questions on this topic, available in the multiplying decimals worksheets 6th grade. This can help them in building a strong conceptual foundation for the topic. As these 6th grade math worksheets are flexible, they enable students to work at their own pace and not get pressured while solving sums.

Printable PDFs for Grade 6 Multiplying Decimals Worksheets

Another benefit of 6th grade multiplying decimals worksheets is that they include an answer key to all the problems. Kids can use this in case they hit a roadblock while solving the questions. These worksheets are available for free download in a printable format.

• Math 6th Grade Multiplying Decimals Worksheet
• Grade 6 Math Multiplying Decimals Worksheet
• 6th Grade Math Multiplying Decimals Worksheet
• Multiplying Decimals Worksheet for 6th Grade

Explore more topics at Cuemath's Math Worksheets .

Mathematics 6 Quarter 1 – Module 7: Multiplying Decimals and Mixed Decimals

This module was designed and written with you in mind. It is here to help you master the skills in multiplying decimals. The scope of this module allows you to use it in many different learning situations. The language used recognizes your diverse vocabulary level. The lessons are arranged to follow the standard sequence of your course. But the order in which you read them can be changed to match with the textbook you are now using.

The module is divided into three lessons, namely:

• Lesson 1 – Multiplying Decimals with Factors Up to 2 Decimal Places
• Lesson 2 – Multiplying Mixed Decimals with Factors Up to 2 Decimal Places
• Lesson 3 – Multiplying Decimals and Mixed Decimals with Factors Up to 2 Decimal Places

After going through this module, you are expected to:

1. multiply decimals with factors up to 2 decimal places; (M6NS-Ie-111.3)

2. multiply mixed decimals with factors up to 2 decimal places; (M6NS-Ie-111.3)

3. multiply decimals and mixed decimals with factors up to 2 decimal places; (M6NS-Ie-111.3)

4. solve routine and non-routine problems involving multiplication of decimals and mixed decimals including money using appropriate problem-solving strategies; (M6NS-Ie-113.2) and

5. solve multi-step problems involving multiplication and addition or subtraction of decimals, mixed decimals and whole numbers including money using appropriate problem-solving strategies and tools. (M6NS-If-113.3)

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6th Grade Math Worksheets Hub Page

Welcome to our 6th Grade Math Worksheets hub page.

This is a new hub page and currently under development - so there will be more 6th grade resources on the way soon!

Here you will find a wide range of free printable worksheets that follow the standards for 6th Grade .

Come and take a look at our adding subtracting fractions page, or our 6th grade math games page. Looking for some help with algebra? We have some basic algebra worksheets too.

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• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

6th Grade Math Learning

Here are the standards for the end of the year for 6th Grade.

• Find the greatest common factor of whole numbers up to 100.
• Find the least common multiple of two whole numbers up to 12.
• Recognise opposite signs of numbers (positive and negative) as being on opposite sides of 0 on a number line.
• Recognise that the opposite of the opposite of a number is the number itself e.g. -(-7) = 7
• Understand a rational number as a point on a number line.
• Find and position rational numbers on a range of number lines.
• Understand the absolute value of a number.
• Write, interpret and explain statements about rational numbers, such as -3°C > -7°C
• Write and evaluate expressions involving whole number exponents.
• Fluently divide multi-digit numbers.
• Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm.
• Find the percentage of a quantity as a rate per 100.
• Divide fractions by fractions using visual models.
• Solve problems involving dividing fractions by fractions.
• Understand the concept of ratio and use ratio language.
• Understand the concept of a unit rate a/b associated with a ratio a:b.
• Use ratio and rate reasoning to solve a range of problems.
• Write, read, and evaluate expressions in which letters stand for numbers
• Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);
• Evaluate expressions at specific values of the variables of different formulas.
• Apply the properties of operations to generate equivalent expressions, e.g. 10 + 5y = 5(2 + y).
• Reason about and solve one-variable equations and inequalities.
• Write an inequality of the for x<c or x>c to represent a constraint or condition.
• Represent and analyze quantitative relationships between dependent and independent variables.
• Develop understanding of statistical variability
• Summarize and describe distributions
• Display numerical data in plots on a number line, including dot plots, histograms, and box plots
• Find the median and the mean of a set of data.
• Find the interquartile range and/or mean absolute deviation and describe patterns in data.
• Find the area of right triangles, other triangles, special quadrilaterals, and polygons.
• Find the volume of a right rectangular prism with fractional edge lengths
• Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms.
• Draw polygons in the coordinate plane given coordinates for the vertices.
• Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.
• Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
• Represent three-dimensional figures using nets made up of rectangles and triangles.
• Use the nets to find the surface area of these figures

6th Grade Math Worksheets

On this page you will find link to our range of math worksheets for 6th grade.

Quicklinks to 6th Grade ...

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6th Grade Place Value Zone

Ordering numbers, including negative numbers, decimals to 3dp and rational numbers.

The sheets in this section involve negative numbers, decimals to 3 decimal places, and a range of rational numbers.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Decimals to 3dp
• Ordering Negative Numbers -10 to 10
• Ordering and Comparing Rational Numbers

Rounding Decimals and Significant Figures

• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges
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6th Grade Number Sense Worksheets

Here you will find a range of 6th Grade Number Worksheets covering skills connected to Numbers and the Number System.

Using these sheets will help your child to:

• understand how to use inequalities including where you have two values
• understand how to use exponents (powers) of a number;
• find the greatest common factors of two numbers up to 100
• find the least common multiple of two numbers up to 12.
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• understand and use absolute value

Inequalities

• Inequalities on a Number Line
• Writing Inequalities from Word Problems

Factors and Multiples 6th Grade Worksheets

• Greatest Common Factor Worksheets
• Least Common Multiple Worksheets
• Factor Tree Worksheets (easier)
• Prime Factorization Worksheets (harder)

PEMDAS and Order of Operations Worksheets

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Roman Numerals Worksheets

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6th Grade Mental Math Quizzes

Here you will find a range of printable mental math 6th grade quizzes for your child to enjoy.

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Mental Math Worksheets 6th Grade

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4 Operations Zone

Decimal counting worksheets.

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• find number bonds to 1;
• Counting By Decimals
• Decimal Number Bonds to 1

6th Grade Addition & Subtraction Worksheets

The following 6th grade math worksheets involve using addition and subtraction with a range of different number types.

• add and subtract decimals up to 3dp;
• add a columns of multi-digit numbers, including decimals.
• add and subtract positive and negative integers

The addition worksheet generator below will create a range of addition problems in columns, including decimals.

• Addition With Regrouping Worksheet Generator
• Subtraction With Regrouping Worksheet Generator
• Adding Positive and Negative Numbers (randomly generated)
• Subtracting Positive and Negative Numbers (randomly generated)
• Adding and Subtracting Negative Numbers (randomly generated)

6th Grade Multiplication Worksheets

Here you will find a range of Free Printable 5th Grade Multiplication Worksheets.

The following worksheets involve using the 6th Grade Math skills of multiplying multi-digit numbers, including decimals.

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals by a whole number;
• multiply positive and negative numbers.
• Multiplying Decimals by Whole Numbers
• Negative Number Multiplication (randomly generated)
• Multiply and Divide Negative Numbers (randomly generated)

6th Grade Division Worksheets

Here you will find a range of Free Printable 6th Grade Division Worksheets.

The following worksheets involve using the 6th Grade Math skills of dividing multi-digit numbers, including decimals, and solving division problems.

Using these sheets will help your child learn to:

• divide multi-digit numbers by one and 2-digit numbers;
• divide decimals.
• Divisibility Rules Worksheets
• Decimal Division Facts
• Long Division of Decimal Numbers
• Dividing Negative Numbers (randomly generated)

6th Grade Math Problems

Here you will find our selection of free 6th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.
• 6th Grade Percent Word Problems
• Fractions Worksheets
• Percentage Worksheets
• Ratio Worksheets

6th Grade Fraction Worksheets

Here you will find a range of free printable 6th Grade Fraction Worksheets.

At 6th Grade level, children are introduced to adding and subtracting fractions with different denominators. They know and can use equivalent fractions, and can multiply and divide fractions by whole numbers, as well as mixed numbers.

• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Multiplying Fractions Worksheets
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• How to Divide Fractions
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• How to Divide Mixed Numbers
• Multiplying and Dividing Fractions (Randomly Generated)
• Add Subtract Multiply Divide Fractions (Randomly Generated)
• Free Printable Fraction Riddles (harder)
• Fractions Decimals Percents Worksheets

6th Grade Percentage Worksheets

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Basic Percentage Word Problems (easier)
• 6th Grade Percent Word Problems (harder)

6th Grade Ratio and Unit Rate Worksheets

These 5th grade ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets
• The Definition of Unit Rate
• Unit Rate Problems 6th Grade

6th Grade Algebra Worksheets

If you are looking for some 6th grade algebra worksheets to use with your child to help them understand simple equations then try our selection of basic algebra worksheets.

There are a range of 6th grade math worksheets covering the following concepts:

• Generate the algebra - and write your own algebraic expressions;
• Calculate the algebra - work out the value of different expressions;
• Solve the algebra - find the value of the term in the equation.
• Use the distributive property to factorize and expand different expressions
• 6th Grade Distributive Property Worksheets
• Expressions and Equations 6th Grade
• Basic Algebra Worksheets (6th & 7th Grade)

Geometry & Measurement Zone

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6th Grade Geometry Worksheets

Here is our range of 6th grade Geometry worksheets.

• Geometry Nets Information and Worksheets
• Parts of a Circle Worksheets
• Coordinate Plane Worksheets (All 4 Quadrants)

6th Grade Area & Perimeter Worksheets

• Area of Parallelogram Worksheets
• Area of Quadrilaterals
• Area of Right Triangle
• Square Inside a Circle Area Support Page
• Surface Area Worksheet 6th Grade

6th Grade Measurement Worksheets

• Metric Conversion Worksheets (4th to 6th Grade)
• Convert Customary Units of Length Worksheets (randomly generated)
• Convert Customary Units of Capacity Worksheets (randomly generated)

Find links to our 6th grade Statistics worksheets below.

Using these 6th grade math worksheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• find the median of a set of data.
• Median Worksheets
• Mean Worksheets
• Mode and Range Worksheets
• Mean Median Mode and Range Worksheets
• Dot Plot Worksheets
• Box Plot Worksheets

Fun Zone: Puzzles, Games and Riddles

• 6th Grade Math Games

Here you will find a range of free printable 6th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 6 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

• Algebra Math Games
• 6th Grade Math Puzzles

Here you will find a range of printable 6th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition and subtraction facts, including fractions and decimals;
• develop their understanding of negative numbers;
• practice and apply multiplication and division facts;
• develop problem solving skills and reasoning.

6th Grade Math Quiz

Here is our collection of Math Quizzes for 6th grade.

Quizzes are a great way to practise math skills or to asses knowledge.

• 6th Grade Math Quiz page

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• NCERT Solutions
• NCERT Class 6
• NCERT 6 Maths
• Chapter 8: Decimals

NCERT Solutions for Class 6 Maths Chapter 8 Decimals

NCERT Solutions for Class 6 Maths Chapter 8 Decimals are provided to help students of Class 6 to get accustomed to the topic of decimals and to practise the concepts thoroughly. The subject-matter experts at BYJU’S designed these NCERT Solutions with the aim of providing all possible methods to solve the questions, as per the CBSE syllabus of Class 6 Maths Chapter 8. These PDFs can be downloaded by the students for future reference as well as to practise the question-answers of this chapter. Comparing the answers prepared by the students with the NCERT Solutions for Class 6 will help them understand where they went wrong or the steps they can take to improve.

Download Exclusively Curated Chapter Notes for Class 6 Maths Chapter 8 – Decimals

Download most important questions for class 6 maths chapter 8 – decimals.

• Chapter 1 Knowing Our Numbers
• Chapter 2 Whole Numbers
• Chapter 3 Playing with Numbers
• Chapter 4 Basic Geometrical Ideas
• Chapter 5 Understanding Elementary Shapes
• Chapter 6 Integers
• Chapter 7 Fractions
• Chapter 8 Decimals
• Chapter 9 Data Handling
• Chapter 10 Mensuration
• Chapter 11 Algebra
• Chapter 12 Ratio and Proportion
• Chapter 13 Introduction to Symmetry
• Chapter 14 Practical Geometry
• Exercise 8.1 Chapter 8 Decimals
• Exercise 8.2 Chapter 8 Decimals
• Exercise 8.3 Chapter 8 Decimals
• Exercise 8.4 Chapter 8 Decimals
• Exercise 8.5 Chapter 8 Decimals
• Exercise 8.6 Chapter 8 Decimals

NCERT Solutions for Class 6 Maths Chapter 8 – Decimals

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Sometimes, students find it challenging to solve the exercise problems given at the end of the NCERT book while practising them. Therefore, we have introduced NCERT Solutions which will help them resolve their doubts and difficulties with the help of solved questions. Apart from these, BYJU’S provides notes, question papers, which consist of sample papers and previous years’ question papers, and preparation tips, which will be helpful for students to score good marks in the final exam.

Access NCERT Solutions for Class 6 Chapter 8: Decimals

Exercise 8.1 Page No. 167

1. Write the following numbers in the given table.

2. Write the following decimals in the place value table.

3. Write each of the following as decimals:

(a) Seven-tenths

(b) Two tens and nine-tenths

(c) Fourteen point six

(d) One hundred and two ones

(e) Six hundred point eight

(a) The decimal form of Seven-tenths is 7 / 10 = 0.7

(b) The decimal form of two tens and nine-tenths is 20 + 9 / 10 = 20.9

(c) The decimal form of fourteen point six is 14.6

(d) The decimal form of one hundred and two ones is 100 + 2 = 102.0

(e) The decimal form of six hundred point eight is 600.8

4. Write each of the following as decimals:

(b) 3 + 7 / 10

(c) 200 + 60 + 5 + 1 / 10

(d) 70 + 8 / 10

(e) 88 / 10

(a) 5 / 10 = 0.5

(b) 3 + 7 / 10 = 3 + 0.7

(c) 200 + 60 + 5 + 1 / 10 = 265 + 0.1

(d) 70 + 8 / 10 = 70 + 0.8

(e) 88 / 10 = 80 / 10 + 8 / 10

(g) 3 / 2 = (2 + 1) / 2

= 2 / 2 + 1 / 2

(h) 2 / 5 = 0.4

(i) 12 / 5 = (10 + 2) / 5

= 10 / 5 + 2 / 5

5. Write the following decimals as fractions. Reduce the fraction to the lowest form.

(a) 0.6 = 6 / 10

(b) 2.5 = 25 / 10

(c) 1.0 = 1

(d) 3.8 = 38 / 10

(e) 13. 7 = 137 / 10

(f) 21.2 = 212 / 10

(g) 6.4 = 64 / 10

6. Express the following as cm using decimals.

(d) 4 cm 2 mm

We know that

1 cm = 10 mm

1 mm = 1 / 10 cm

(a) 2 mm = 2 / 10 cm

(b) 30 mm = 30 / 10 cm

(c) 116 mm = 116 / 10 cm

(d) 4 cm 2 mm = [(4 + 2 / 10)] cm

(e) 162 mm = 162 / 10 cm

(f) 83 mm = 83 / 10 cm

7. Between which two whole numbers on the number line are the given numbers lie?

Which of these whole numbers is nearer the number?

(a ) 0.8 lies between 0 and 1

0.8 is nearer to 1

(b) 5.1 lies between 5 and 6

5.1 is nearer to 5

(c) 2.6 lies between 2 and 3

2.6 is nearer to 3

(d) 6.4 lies between 6 and 7

6.4 is nearer to 6

(e) 9.1 lies between 9 and 10

9.1 is nearer to 9

(f) 4.9 lies between 4 and 5

4.9 is nearer to 5

8. Show the following numbers on the number line.

(a) 0.2 lies between points 0 and 1 on the number line. The space between 0 and 1 is divided into 10 equal parts. Therefore, each equal part will be equal to one-tenth. Thus, 0.2 is the second point between 0 and 1.

(b) 1.9 lies between points 1 and 2 on the number line. The space between 1 and 2 is divided into 10 equal parts. Therefore, each equal part will be equal to one-tenth. Thus, 1.9 is the ninth point between 1 and 2.

(c) 1.1 lies between points 1 and 2 on the number line such that the space between 1 and 2 is divided into 10 equal parts. Therefore, each equal part will be equal to one-tenth. Thus, 1.1 is the first point between 1 and 2.

(d) 2.5 lies between points 2 and 3 on the number line such that the space between 2 and 3 is divided into 10 equal parts. Therefore, each equal part will be equal to one-tenth. Thus, 2.5 is the fifth point between 2 and 3.

9. Write the decimal number represented by the points A, B, C, and D on the given number line.

(a) Point A represents 0.8 cm on the given number line

(b) Point B represents 1.3 cm on the given number line

(c) Point C represents 2.2 cm on the given number line

(d) Point D represents 2.9 cm on the given number line

10. (a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?

       (b) The length of a young gram plant is 65 mm. Express its length in cm.

(a) The length of Ramesh’s notebook is 9 cm 5 mm

The length in cm is [(9 + 5 / 10)] cm

(b) The length of the gram plant is 65 mm

Hence, the length in cm is 65 / 10

Exercise 8.2 Page No. 173

1. Complete the table with the help of these boxes and use decimals to write the number.

2. Write the numbers given in the following place value table in decimal form.

(a) 3 + 2 / 10 + 5 / 100

= 3 + 0.2 + 0.05

(b) 100 + 2 + 6 / 10 + 3 / 100

= 102 + 0.6 + 0.03

(c) 30 + 2 / 100 + 5 / 1000

= 30 + 0.02 + 0.005

(d) 200 + 10 + 1 + 9 / 10 + 2 / 1000

= 211 + 0.9 + 0.002

(e) 10 + 2 + 2 / 10 + 4 / 100 + 1 / 1000

= 12 + 0.2 + 0.04 + 0.001

3. Write the following decimals in the place value table.

(e) 200.812

= 0.2 + 0.09

= 2 / 10 + 9 / 100

= 2 + 8 / 100

= 19 + 0.60

= 10 + 9 + 6 / 10

= 148 + 0.3 + 0.02

= 100 + 40 + 8 + 3 / 10 + 2 / 100

= 200 + 0.8 + 0.01 + 0.002

= 200 + 8 / 10 + 1 / 100 + 2 / 1000

4. Write each of the following as decimals.

(a) 20 + 9 + 4 / 10 + 1 / 100

(b) 137 + 5 / 100

(c) 7 / 10 + 6 / 100 + 4 / 1000

(d) 23 + 2 / 10 + 6 / 1000

(e) 700 + 20 + 5 + 9 / 100

= 29 + 0.4 + 0.01

= 137 + 0.05

= 0.7 + 0.06 + 0.004

= 23 + 0.2 + 0.006

= 725 + 0.09

5. Write each of the following decimals in words.

The following are the decimals in words

(a) 0.03 = zero point zero three

(b) 1.20 = one point two zero

(c) 108.56 = one hundred eight point five six

(d) 10.07 = ten point zero seven

(e) 0.032 = zero point zero three two

(f) 5.008 = five point zero zero eight

6. Between which two numbers in tenths place on the number line does each of the given number lie?

(a) 0.60 lies between 0 and 0.1 in tenths place

(b) 0.45 lies between 0.4 and 0.5 in tenths place

(c) 0.19 lies between 0.1 and 0.2 in tenths place

(d) 0.66 lies between 0.6 and 0.7 in tenths place

(e) 0.92 lies between 0.9 and 1.0 in tenths place

(f) 0.57 lies between 0.5 and 0.6 in tenths place

7. Write as fractions in the lowest terms.

(a) 0.60 = 60 / 100

(b) 0.05 = 5 / 100

(c) 0.75 = 75 / 100

(d) 0.18 = 18 / 100

(e) 0.25 = 25 / 100

(f) 0.125 = 125 / 1000

(g) 0.066 = 66 / 1000

Exercise 8.3 Page No. 175

1. Which is greater?

(a) 0.3 or 0.4

(b) 0.07 or 0.02

(c) 3 or 0.8

(d) 0.5 or 0.05

(e) 1.23 or 1.20

(f) 0.099 or 0.19

(g) 1.5 or 1.50

(h) 1.431 or 1.490

(i) 3.3 or 3.300

(j) 5.64 or 5.603

The whole parts for both numbers are the same. We know that the tenth part of 0.4 is greater than that of 0.3.

∴ 0.4 > 0.3.

Both the numbers have the same parts up to the tenth place, but the hundredth part of 0.07 is greater than that of 0.02.

∴ 0.07 > 0.02.

The whole part of 3 is greater than that of 0.8

∴ 3 > 0.8

The whole parts for both numbers are the same. Here, the tenth part of 0.5 is greater than that of 0.05.

∴ 0.5 > 0.05.

Here, both the numbers have the same parts up to the tenth place. The hundredth part of 1.23 is greater than that of 1.20.

∴ 1.23 > 1.20.

The whole parts for both numbers are the same. Here, the tenth part of 0.19 is greater than that of 0.099.

∴ 0.099 < 0.19.

We may find that both numbers have the same parts up to the tenth place. Here 1.5 have no digit at the hundredth place. It represents that this digit is 0, which is equal to the digit at the hundredth place of 1.50.

∴ Both these numbers are equal.

Here, both the numbers have the same parts up to the tenth place, but the hundredth part of 1.490 is greater than that of 1.431.

∴ 1.431 < 1.490.

Here, both numbers have the same parts up to the tenth place. There are no digits at the hundredth and thousandth place of 3.3. It represents that these numbers are 0, which is equal to the digits at the hundredth and thousandth place of 3.300.

Here, both numbers have the same parts up to the tenth place, but the hundredth part of 5.64 is greater than that of 5.603

∴ 5.64 > 5.603.

2. Make five more examples and find the greater number from them.

Five more examples are given below:

(a) 32.55 or 32.5

The whole parts for both numbers are the same. The tenth part is also equal, but the hundredth part of 32.55 is greater than that of 32.5.

Hence, 32.55 > 32.5.

(b) 1 or 0.99

The whole part of 1 is greater than that of 0.99.

∴ 1 > 0.99.

(c) 1.09 or 1.093

Here, both numbers have the same parts up to the hundredth. But the thousandth part of 1.093 is greater than that of 1.09,

∴ 1.093 > 1.09,

(d) 2 or 1.99

The whole part of 2 is greater than that of 1.99,

∴ 2 > 1.99,

(e) 2.08 or 2.085

Here, both numbers have the same parts up to the hundredth. But the thousandth part of 2.085 is greater than that of 2.08,

∴ 2.085 > 2.08,

Exercise 8.4 Page No. 177

1. Express as rupees using decimals.

(a) 5 paise

(b) 75 paise

(c) 20 paise

(d) 50 rupees 90 paise

(e) 725 paise

We know that there are 100 paise in 1 rupee.

(a) 5 paise = 5 / 100 rupees

= Rupess 0.05

(b) 75 paise = 75 / 100 rupees

= Rupees 0.75

(c) 20 paise = 20 / 100 rupees

= Rupees 0.20

(d) 50 rupees 90 paise = [(50 + 90 / 100)] rupees

= Rupees 50.90

(e) 725 paise = 725 / 100 rupees

= Rupees 7.25

2. Express as metres using decimals.

(c) 2 m 45 cm

(d) 9 m 7 cm

We know that there are 100 cm in 1 metre

(a) 15 cm = 15 / 100 m

(b) 6 cm = 6 / 100 m

(c) 2 m 45 cm = [(2 + 45 / 100)] m

(d) 9 m 7 cm = [(9 + 7 / 100)] m

(e) 419 cm = 419 / 100 m

3. Express as cm using decimals

(d) 9 cm 8 mm

We know that there are 10 mm in 1 cm.

(a) 5 mm = 5 / 10 cm

(b) 60 mm = 60 / 10 cm

(c) 164 mm = 164 / 10 cm

(d) 9 cm 8 mm = [(9 + 8 / 10)] cm

(e) 93 mm = 93 / 10 cm

4. Express as km using decimals.

(d) 70 km 5 m

We know that there are 1000 metres in 1 km.

(a) 8 m = 8 / 1000 km

(b) 88 m = 88 / 1000 km

(c) 8888 m = 8888 / 1000 km

(d) 70 km 5 m = [(70 + 5 / 1000)] km

= 70.005 km

5. Express as kg using decimals.

(d) 5 kg 8 g

(e) 26 kg 50 g

We know that there are 1000 grams in 1 kg.

(a) 2 g = 2 / 1000 kg

(b) 100 g = 100 / 1000 kg

(c) 3750 g = 3750 / 1000 kg

(d) 5 kg 8 g = [(5 + 8 / 1000)] kg

(e) 26 kg 50 g = [(26 + 50 / 1000)] kg

= 26.050 kg

Exercise 8.5 Page No. 179

1. Find the sum in each of the following:

(a) 0.007 + 8.5 + 30.08

(b) 15 + 0.632 + 13.8

(c) 27.076 + 0.55 + 0.004

(d) 25.65 + 9.005 + 3.7

(e) 0.75 + 10.425 + 2

(f) 280.69 + 25.2 + 38

(a) Sum of 0.007 + 8.5 + 30.08

(b) Sum of 15 + 0.632 + 13.8

(c) Sum of 27.076 + 0.55 + 0.004

_____________

______________

(d) Sum of 25.65 + 9.005 + 3.7

___________

(e) Sum of 0.75 + 10.425 + 2

(f) Sum of 280.69 + 25.2 + 38

2. Rashid spent ₹ 35.75 for the Maths book and ₹ 32.60 for the Science book. Find the total amount spent by Rashid.

Cost of Maths book = ₹ 35.75

Cost of Science book = ₹ 32.60

The total amount spent by Rashid is

∴ The total amount of money spent by Rashid is ₹ 68.35.

3. Radhika’s mother gave her ₹ 10.50, and her father gave her ₹ 15.80. Find the total amount given to Radhika by the parents.

The amount given by Radhika’s mother = ₹ 10.50

The amount given by Radhika’s father = ₹ 15.80

The total amount given by her parents is

∴ The total amount of money given by Radhika’s parents is ₹ 26.30.

4. Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.

Cloth of shirt = 3 m 20 cm

Cloth of trouser = 2 m 5 cm

The total length of the cloth is

∴ The total length of cloth bought by Nasreen is 5.25 m.

5. Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?

Distance walked by Naresh in the morning = 2 km 35 m

= [(2 + 35 /1000)] km

Distance walked by him in the evening = 1 km 7 m

= [(1 + 7 / 1000)] km

The total distance walked by Naresh is

∴ The total distance walked by Naresh is 3.042 km.

6. Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m on foot in order to reach her school. How far is her school from her residence?

Distance travelled by bus = 15 km 268 m

= [(15 + 268 / 1000)] km

= 15.268 km

Distance travelled by car = 7 km 7 m

= [(7 + 7 / 1000)] km

Distance walked by Sunita = 500 m

= 500 / 1000

The total distance of the school from her residence is

∴ The total distance of the school from her residence is 22.775 km.

7. Ravi purchased 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850 g flour. Find the total weight of his purchases.

Weight of rice = 5 kg 400 g

= [(5 + 400 / 1000)] kg

Weight of sugar = 2 kg 20 g

= [(2 + 20 / 1000)] kg

Weight of flour = 10 kg 850 g

= [(10 + 850 / 1000)] kg

= 10.850 kg

The total weight of his purchases is

____________

∴ The total weight of his purchases is 18.270 kg

Exercise 8.6 Page No. 181

1. Subtract:

(a) ₹ 18.25 from ₹ 20.75

(b) 202.54 m from 250 m

(c) ₹ 5.36 from ₹ 8.40

(d) 2.051 km from 5.206 km

(e) 0.314 kg from 2.107 kg

(a) ₹ 20.75 – ₹ 18.75

(b) 250 m – 202.54 m

(c) ₹ 8.40 – ₹ 5.36

(d) 5.206 km – 2.051 km

(e) 2.107 kg – 0.314 kg

2. Find the value of the following:

(a) 9.756 – 6.28

(b) 21.05 – 15.27

(c) 18.5 – 6.79

(d) 11.6 – 9.847

3. Raju bought a book for ₹ 35.65. He gave ₹ 50 to the shopkeeper. How much money did he get back from the shopkeeper?

Money given to shopkeeper = ₹ 50.00

Price of the book = ₹ 35.65

The money Raju will get back from the shopkeeper will be the difference between these two.

∴ The money left with Raju is

Hence, the money left with Raju is ₹ 14.35.

4. Rani had ₹ 18.50. She bought one ice cream for ₹ 11.75. How much money does she have now?

Money with Rani = ₹ 18.50

Price of an ice cream = ₹ 11.75

Now, the money left with Rani will be the difference between these two.

Hence, the money left with her is

∴ The money left with Rani is ₹ 6.75.

5. Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?

Length of cloth = 20 m 5 cm

Length of cloth to make a curtain = 4 m 50 cm

The length of cloth left with Tina will be the difference between these two.

Thus, the length of cloth left with her is

∴ The length of the remaining cloth left with Tina is 15.55 m.

6. Namita travels 20 km 50 m every day. Out of this, she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?

Total distance travelled by Namita = 20 km 50 m

= 20.050 km

Distance travelled by bus = 10 km 200 m

= 10.200 km

Distance travelled by auto = Total distance travelled – Distance travelled by bus

∴ Distance to be travelled by auto is

∴ Namita travelled 9.850 km by auto.

7. Aakash bought vegetables weighing 10 kg. Out of this, 3 kg 500 g is onions, 2 kg 75 g is tomatoes, and the rest is potatoes. What is the weight of the potatoes?

Total weight of vegetables Aakash bought = 10.000 kg

Weight of onions = 3 kg 500 g

Weight of tomatoes = 2 kg 75 g

Weight of potatoes = Total weight of vegetables bought – (weight of onions + weight of tomatoes)

= 10.000 – (3.500 + 2.075)

∴ 4.425 kg is the weight of the potatoes.

Disclaimer:

Dropped Topics – 8.2 Tenths, 8.3 Hundredths.

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