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Multiplication and Division - Long Division
Multiplication and division -, long division, multiplication and division long division.
Multiplication and Division: Long Division
Lesson 5: long division.
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Long division
When you divide a number, you are splitting it equally . In Introduction to Division , you learned that division can be a way to understand real-life situations. For example, imagine a car dealership has 15 cars. The manager wants the cars parked in three equal rows.
You could write the situation like this and use a times table to solve it:
After the cars are divided, counting them shows that each row should have five cars. Now, let's say the car dealership has 42 cars and the manager wants to park them in three rows. The situation would look like this:
This problem is harder to solve. It would take a lot of time to divide that many cars into three groups. Plus, there's no 42 in the 3's column on the times table. Fortunately, there is a way to set up the problem that makes it easy to solve one step at a time. It's called long division .
Let's learn how to set up these problems. We'll look at the problem we discussed above: 42 / 3 .
In the last lesson, we learned how to write division expressions.
However, dividing a larger number is easier when the expression is written in a different way.
Instead of writing the numbers side by side with a division symbol...
Instead of writing the numbers side by side with a division symbol... we'll use a different symbol called a division bracket .
The number you're dividing goes under the division bracket. That's 42 .
To the left of the division bracket, write the number you're dividing by. In our problem, it's 3 .
The division bracket is also an equals sign. The quotient , or answer, is written above it.
Let's try setting up another expression, 125 / 5 . First, write the division bracket.
Next, write the number being divided, 125 .
Finally, write the number we're dividing by, 5 .
Remember, you should be careful to set up long division problems correctly.
The number you're dividing goes under the division bracket...
The number you're dividing goes under the division bracket... and the number you're dividing by goes to the left of it.
Solving long-division problems
To solve long division problems, you'll use three math skills you've already learned: division , multiplication , and subtraction . It's a good idea to make sure you feel comfortable with all three skills. If you think you might need more practice, take some time to review those lessons first.
When solving a long division problem, the number under the division bracket is split into smaller numbers. This makes division easier. Plus, you can use a familiar tool, like a times table, to help.
Let's see how solving a long division problem works.
Remember the manager of the used car dealership who wanted to divide 42 cars among 3 rows? Let's find out how many cars he should put in each row.
We'll use long division to solve this problem: 42 / 3 .
Long division follows a pattern . You follow the same basic steps again and again until the problem is complete. If this seems confusing, don't worry. We'll go through it step by step.
We'll begin with the left digit under the division bracket. That means we'll start with the 4 ...
We'll begin with the left digit under the division bracket. That means we'll start with the 4 ... and we'll figure out how many times it can be divided by 3 .
Now it's time to solve 4 / 3 .
We can use the times table . We'll look at the 3's column.
Since 4 is the number we're dividing, we need to locate the number that is the closest to 4. The number can't be any larger than 4 .
3 is the closest to 4 .
Next, we'll find the row 3 is located in. It's the 1's row.
That means 3 goes into 4 one time.
We'll write 1 above the 4 and the division bracket.
The next step is to multiply the 1 and 3 .
Whenever you multiply a number by 1, that number stays the same. So 1 x 3 is 3 .
We'll write 3 below the 4 .
The next step is to subtract .
Now we solve 4 - 3 .
4 - 3 is 1 . We'll write 1 below the 4 and 3 .
Since our answer is 1 , we're not done yet. We'll know our problem is complete when the answer to our subtraction problem is zero. Plus, there's still another digit under the bracket: 2 .
We'll bring the 2 down and rewrite it next to the 1 .
See how the 1 and 2 look like the number 12 ? That's the next number we need to divide.
12 is large enough to be divided, so we'll figure out how many times it can be divided by 3 .
Let's look at the 3's column. Since 12 is the number we're dividing, we'll find the number closest to 12 . Remember, the number can't be any larger than 12 .
The 3's column has a 12 . It would be impossible to get closer than that!
Now we find the row 12 is located in.
It's the 4's row. 3 goes into 12 four times.
We'll write 4 above the 2 and the division bracket.
Now it's time to multiply the 4 and 3 .
4 x 3 is 12 .
Write the 12 beneath the 12 .
We'll set up our subtraction problem.
Now it's time to solve 12 - 12 .
12 - 12 is 0 . Write 0 beneath the line directly below the 2 and 2 .
The answer to our subtraction problem is 0 . That means we're done! 42 / 3 = 14 .
Solve these long division problems. Then, check your answer by typing it in the box.
Problems with remainders
In Introduction to Division , you learned that some numbers can't be equally divided. When that happens, there will be an amount left over. This is called a remainder . For instance, let's say you want to share 8 treats equally among your 3 dogs. The answer is that each dog would get two treats with a remainder of two .
The remainder is written as part of the quotient: 8 / 3 = 2 r2 .
Long division problems can have remainders too. Watch the slideshow to see how.
Let's try this problem, 49 / 4 .
As always, start by dividing the left digit. This means we'll solve for 4 / 4 .
4 / 4 is 1 .
Next, we'll multiply the answer we just got, 1 , by the number we're dividing by, 4 . So 4 x 1 .
4 x 1 is 4 .
Next, subtract 4 - 4 . Whenever you subtract a number from the same number, the answer is 0 . So 4 - 4 = 0 .
Our problem's not done. The next digit in the number we're dividing is 9 . We'll solve for 9 / 4 .
9 / 4 is 2.
Again, we'll multiply the number we just wrote by the number we're dividing by.
2 x 4 is 8 .
We'll subtract that number, 8 , from the number we were dividing.
9 - 8 is 1 .
Since 1 is smaller than 4, we can't divide it any further. 1 is our remainder . We'll write it next to the rest of the answer.
We're done! 49 / 4 = 12 , with a remainder of 1 .
Solve these division problems with remainders. Then, check your answer by typing it into the boxes.
Decimal quotients
On the last page, you learned how to find the remainder for a long division problem that can't be solved evenly. Remainders can be useful if you need to know how much is left over when you divide something, but they might not be very useful in every situation. For example, what if you wanted to divide a 9- foot-long board into 4 equal pieces ? That problem could look like this:
9 / 4 = 2 r1
In other words, when you divide a board that's nine feet long into four pieces , each piece will be two feet long . There will be one foot left over.
What if you don't want to waste any wood? In that case, you can continue to divide until there is no longer a remainder. That way, you'd have four equal pieces of wood, with none left over. That problem would look like this:
9 / 4 = 2.25
The answer, 2.25, is a decimal number. You can tell, because it includes a symbol called a decimal point (.) . The number to the left of the decimal point , 2 , is the whole number. The rest of the answer, .25 , shows the part of the number that didn't divide evenly.
Click through the slideshow below to learn how to find the decimal answer to a division problem.
Let's say we have 62 treats to divide equally among 4 dogs. The problem we're solving is 62 / 4 . Let's find out how many treats each dog should get.
As always, we'll begin with the left digit under the division bracket. That means we'll start with the 6 ...
As always, we'll begin with the left digit under the division bracket. That means we'll start with the 6 ... and we'll figure out how many times it can be divided by 4 .
Now it's time to solve 6 / 4 . We'll use the times table.
We'll look at the 4's column. Since 6 is the number we are dividing, we need to find the number that is closest to 6 . Remember, it can't be any larger than 6 .
4 is the closest to 6 .
Next, we'll find the row 4 is located in. It's the 1's row.
That means 4 goes into 6 one time. We'll write 1 above the 6 .
Next, we'll multiply the 1 and 4 .
Remember, whenever you multiply a number by 1, that number always stays the same. So 1 x 4 is 4 .
We'll write 4 below the 6 .
The next step is to subtract.
Now we solve 6 - 4 .
6 - 4 is 2 . We'll write 2 below the line.
Since 2 is more than zero, we know we're not done with our problem.
We'll bring the 2 down and rewrite it next to the 2 .
22 is large enough to be divided, so we'll figure out how many times it can be divided by 4 .
Let's look at the 4's column to locate the number closest to 22 . The number can't be any larger than 22 .
20 is the closest to 22 .
Now we'll find the row 20 is located in. It's the 5's row. So 4 goes into 20 five times.
We'll write 5 above the 2 .
Now we need to multiply the 5 and 4 .
5 x 4 is 20 .
We'll write 20 beneath the 22 .
Now it's time to solve 22 - 20 .
22 - 20 is 2 . We'll write 2 beneath the line directly below the 2 and 0 .
The answer to the last subtraction problem is more than zero, so we'll look under the bracket to see if there is another digit we can bring down.
We've divided both of those digits. That means there are no more digits to bring down. But if we write another digit next to 62 , we could bring that digit down.
We don't want to make the 62 any larger. That would change our problem. We only had 62 bones to divide.
So next to the 62 , we'll write the number that means nothing: 0 .
But that changes 62 into a larger number: 620 . That won't work.
So to keep the value of 62 this same, we'll add a decimal point between the 62 and the 0 .
This means our quotient needs a decimal as well. So we'll write a decimal point next to the 15 directly above the other decimal.
Now we can continue to solve the problem. We'll bring the 0 down and rewrite it next to the 2 .
Let's figure out how many times 20 can be divided by 4 .
Look at the 4's column. 20 is the number we are dividing, so we'll find the number that is the closest to 20 but not larger than 20 .
The 4's column has a 20 . That's as close as we can get!
Now we find the row 20 is located in. It's the 5's row. 4 goes into 20 five times.
We'll write 5 above the 0 .
Now it's time to multiply the 5 and 4 .
Write 20 beneath the 20 .
Time to solve 20 - 20 .
20 - 20 = 0 . Write 0 below the line directly below the 0 and 0 .
The answer to the subtraction problem is 0 . That means we have completed the problem. So 62 / 4 = 15.5 .
Sometimes, you may notice that a decimal can start to repeat as you continue to add zeros under the division bracket. This is known as a repeating decimal. When this happens, you can place a horizontal line over the digit that repeats.
Look at the image below. A horizontal line has been placed over the repeating digit.
Another way to handle a repeating decimal is to round it. Rounding creates a new number that has a value close to the original number.
When rounding a repeating decimal, you'll reduce the number of digits that come after the decimal point. First, decide which digit you are rounding to. Then look at the digit to the right of it. If the digit is 5 or more, increase the rounded digit by 1. If it is 4 or less, the rounded digit stays the same. The other digits after the rounded digit are not written.
Look at the image below. In this case, each of these repeating decimals has been rounded to the second digit after the decimal point.
Find the decimal quotient for each of the long division problems below.
Checking your work
Checking your work after you divide is a good habit to develop. Checking helps you know that your answer is correct. To check the answer to a division problem, you'll need to use multiplication.
Let's look at this problem: 54 / 6 = 9 .
How do we know that 9 is the correct answer? We can check by multiplying.
Let's set up our multiplication problem. First, we'll write the quotient. That means we'll write 9 .
Next, we'll multiply the number that we divided by, 6 .
Time to multiply. 9 x 6 = 54 .
If we divided correctly, the answer will match the larger number in the division problem.
They are both 54 . We checked the problem, and it was correct!
Let's try checking another problem. This time, the quotient has a remainder: 20 / 3 = 6 r2 .
Let's set up our multiplication problem. First write the quotient without the remainder. That's 6 .
Then multiply the amount that the larger number was divided by, 3 .
Now it's time to multiply. 6 x 3 = 18 .
Let's check to see if our answer matches the larger number in the division problem — 18 and 20 . No, they aren't equal.
That may be because we haven't included the remainder, 2 .
Since the answer to the division problem has a remainder...
Since the answer to the division problem has a remainder... just multiplying should give you a number less than the original number.
We'll set up an addition problem to add the 2 to 18 .
Now add 18 and 2 .
18 + 2 is 20 .
Finally, check to see if 20 matches the larger number in the division problem. It does!
In the slideshow, we used multiplication to check our division. The answer to the multiplication problem should always be the same as the larger number in the division problem. If your two answers don't match, check to see if you added the remainder. If your answers are still different, you might have made a mistake the first time you were dividing. Try solving the problem again.
Long division with decimals
In this lesson, you also learned how to solve division problems that have a decimal in the answer. Checking your work for this type of problem is similar to checking other division problems. You'll follow the same steps.
We'll try checking this problem: 57 / 5 = 11.4 .
Let's set up our multiplication problem.
We'll write the decimal quotient, 11.4 .
Next, we'll multiply the number that we divided by, 5 .
Now it's time to multiply: 11.4 x 5 .
Since the quotient had one digit to the right of the decimal point...
Since the quotient had one digit to the right of the decimal point... we write the answer with one digit to the right of the decimal point. 11.4 x 5 = 57.0 .
Finally, we'll check to see if 57.0 matches the larger number in our division problem. They are the same. Our answer was correct.
Practice division by solving these problems. There are 3 sets of problems. Each set has 5 problems.
Set 2: Type your answer using remainders.
Set 3: type your answer using decimals..
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Multiplication and Division KS2
This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.
One Wasn't Square
Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
All the Digits Live
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
Cycling Squares
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
Can you replace the letters with numbers? Is there only one solution in each case?
Multiplication Square Jigsaw
Can you complete this jigsaw of the multiplication square?
Shape Times Shape
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
What Do You Need?
Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
How Do You Do It?
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.
Table Patterns Go Wild!
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
Journeys in Numberland
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Ordering Cards
This problem is designed to help children to learn, and to use, the two and three times tables.
Let Us Divide!
Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
Sweets in a Box
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
Round and Round the Circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
Highest and Lowest
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Zios and Zepts
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
Abundant Numbers
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
Find at least one way to put in some operation signs to make these digits come to 100.
Flashing Lights
Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?
The Moons of Vuvv
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Mystery Matrix
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Four Goodness Sake
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
Multiplication Squares
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
Factor Lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Two Primes Make One Square
Can you make square numbers by adding two prime numbers together?
Cubes Within Cubes
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Which Is Quicker?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
A Square of Numbers
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Odd Squares
Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?
Up and Down Staircases
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
Carrying Cards
These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
An Easy Way to Multiply by 10?
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
Multiples Grid
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Factors and Multiples Game
This game can replace standard practice exercises on finding factors and multiples.
Music to My Ears
Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?
What's in the Box?
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
Factor-multiple Chains
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Picture a Pyramid ...
Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
The Remainders Game
Play this game and see if you can figure out the computer's chosen number.
Which Symbol?
Choose a symbol to put into the number sentence.
Times Tables Shifts Live
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Counting Cogs Live
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Light the Lights Again
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
Follow the Numbers
What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.
Curious Number
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
Factor Track
Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.
So It's Times!
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
Square Subtraction
Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?
This Pied Piper of Hamelin
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
Multiply Multiples 1
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Multiply Multiples 2
Can you work out some different ways to balance this equation?
Multiply Multiples 3
Have a go at balancing this equation. Can you find different ways of doing it?
Division Rules
This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Always, Sometimes or Never? Number
Are these statements always true, sometimes true or never true?
Satisfying Four Statements
Can you find any two-digit numbers that satisfy all of these statements?
Picture Your Method
Can you match these calculation methods to their visual representations?
Compare the Calculations
Can you put these four calculations into order of difficulty? How did you decide?
Dicey Array
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
4 by 4 Mathdokus
Can you use the clues to complete these 4 by 4 Mathematical Sudokus?
Xavi's T-shirt
How much can you read into a T-shirt?
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- Identify the Main Idea (15)
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- Compare and Contrast (13)
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Equal Sharing: Distribute, Divide & Thrive
Master equal sharing and division in this interactive math lesson.
Equal Groups Division: Dive into Magic
Master division using equal groups in this interactive math lesson.
Division Mastery: Facts & Problem-Solving Fun
Master division facts and problem-solving skills with this interactive math lesson.
Relate Multiplication & Division
Explore the connection between multiplication and division in this engaging math lesson.
Dive into Multiplication Fun
Explore multiplication facts of 3, 1, and 0 through engaging activities
Dive into Division: Comparing Expressions Made Easy
Master the skill of comparing division expressions with this engaging math lesson. Explore various scenarios and learn how to analyze and compare different division situations.
Magical Multi-Step Word Problems
Unleash your problem-solving skills in this magical math adventure!
Uncover Long Division Secrets
Explore the long division method and master the art of dividing numbers with this interactive math lesson.
Thrilling Division: Strategies & Activities Galore
Explore division strategies through interactive activities. Learn to divide using the number line, equal grouping, equal sharing, and subtraction. Master division concepts with this engaging lesson!
Multiplication & Division Relationship
Explore the connection between multiplication and division in this engaging math lesson. Discover how these two operations are related and learn strategies for solving problems using their connection.
Multiplication & Division Deep Dive
Explore the connection between multiplication and division in this interactive math lesson.
Unlocking the Power of Place Value
Master place value with engaging activities.
Mastering Multi-Step Problems
Master multi-step word problems with this engaging math lesson. Explore real-life scenarios and apply mathematical operations to find solutions.
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This video covers Lesson 1.9 Problem-Solving-Multiplication and Division on pages 39-42 of the 5th grade GO Math textbook.
This lesson uses the method "solving a simpler problem" to help us break down the big numbers with multiplication and division.
Go Math! Practice Book (TE), G5 Name Problem Solving Multiplication and Division Solve the problems below. Show your work. Dani is making punch for a family picnic. She adds 16 fluid ounces of orange juice, 16 fluid ounces of lemon juice, and 8 fluid ounces of lime juice to 64 fluid ounces of water.
This Go Math video address the Essential Question: How can you use the strategy "solve a simpler problem" to help you solve a division problem? The Distribu...
Title: Go Math! Practice Book (TE), G5 Created Date: 9/9/2016 12:49:42 PM
What's the Question? Lu has 3 swordtails in her aquarium. She buys 2 more swordtails. 17. Tammy gives 45 stamps to her 9 friends. She shares them equally among her friends. Write an expression to match the words. How many stamps does each friend get? 18. Test Prep Josh has 3 fish in each of 5 buckets. Then he releases 4 fish.
5_MNLESE295506_U01O.indd. Name. Problem Solving • Multiplication and Division. Practice and Homework. Lesson 1.9. COMMON CORE STANDARD—5.NBT.B.6. Perform operations with multi-digit whole numbers and with decimals to hundredths. Solve the problems below. Show your work.
Go Math Grade 5 Chapter 1 Lesson 9 Problem Solving Multiplication and Division. Includes all whole group components for the lesson. **Please note: This product is for Mimio boards and NOT for SmartBoards.**
7 questions Practice Represent multiplication on the number line 4 questions Practice Multiplication facts Learn Multiplication tables for 2-9 Multiplication tables for 10, 11, 12 Practice Multiply by 0 or 1
In this lesson, we will solve multiplication and division word problems involving the multiplication table of 2, 5 and 10. Maths. Teacher View. Exit Lesson. Teacher View. ... Solving multiplication and division problems. Please read the questions and select the appropriate answers. Start. Q1. 8 x 2 = 4. True False. 1/3. See results. Q2. 4 x 2 = 8.
For example, this is the column that goes with 7. Each number on the left side of the times table is the start of a row. This row goes with 9. Let's try solving the seedling problem: 12 / 2. First, find the number that you are dividing by on the right of the division sign. In 12/2 we're dividing by 2.
Lesson . 1. Multiplication and Division. 13m video. Lesson . 2. Representing word problems using bar models. ... Solving three 1 digit multiplication equations. 15m video. Lesson . 9. Multiplying 3-digit numbers by 1-digit numbers. 26m video. ... Problem solving: Using all four operations. 12m video. Lesson . 20. Consolidating division strategies.
Jaime McGrath Multiplying Fractions | 5th Grade Math Math with Mr. J We can divide with partial quotients and addition. We can use the strategy solve a simpler problem to help us solve a...
3 is the closest to 4. Next, we'll find the row 3 is located in. It's the 1's row. That means 3 goes into 4 one time. We'll write 1 above the 4 and the division bracket. The next step is to multiply the 1 and 3. Whenever you multiply a number by 1, that number stays the same. So 1 x 3 is 3. We'll write 3 below the 4.
Challenge Level. This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line.
Must be equal to our blank. Well we know what nine times two is, that is 18, so this must be 18. 18 divided by two is nine. And that's really describing how 18, two, and nine relate to each other. Two nines is 18, or nine twos is 18, or if I were to divide 18 into two groups, each group would have nine.
Explore multiplication facts of 3, 1, and 0 through engaging activities. Master the skill of comparing division expressions with this engaging math lesson. Explore various scenarios and learn how to analyze and compare different division situations. Unleash your problem-solving skills in this magical math adventure!
Lesson 1.9 problem solving multiplication and division by Susan Warren - May 25, 2013
via YouTube Capture
The lesson will focus on solving division problems using multiplication and on the relationship between multiplication and division. H: Remind students of the prize-bag scenario from the previous lesson and solve the problem again as a group. Correlate the problem with the number sentences that represent it. E: Have students use the Match Them UP!
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This will be completed in class and requires students to translate real-world problems into multiplication and division number sentences and solve them. E: Students will be evaluated based on the accuracy of their responses on the Zero and Eight worksheet. Students will also be evaluated based on their performance on the Lesson 1 Exit Ticket.
Topic D: Multiplication and Division Using Units of 9 Parent Newsletter for Topic D URL. Strategies for Multiplication with 9 URL. Topic D Quiz Page. Tic-Tac-Toe Products ... Topic E: Analysis of Patterns and Problem Solving ... Lesson 16. Lesson 17. Lesson 18. Topic F: Multiplication of Single-Digit Factors an... Lesson 19. Lesson 20. Lesson 21.