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Multiplication and Division  - Long Division

Multiplication and division  -, long division, multiplication and division long division.

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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:

problem solving multiplication and division lesson 1 9

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:

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

Instead of writing the numbers side by side with a division symbol...

problem solving multiplication and division lesson 1 9

Instead of writing the numbers side by side with a division symbol... we'll use a different symbol called a division bracket .

problem solving multiplication and division lesson 1 9

The number you're dividing goes under the division bracket. That's 42 .

problem solving multiplication and division lesson 1 9

To the left of the division bracket, write the number you're dividing by. In our problem, it's 3 .

problem solving multiplication and division lesson 1 9

The division bracket is also an equals sign. The quotient , or answer, is written above it.

problem solving multiplication and division lesson 1 9

Let's try setting up another expression, 125 / 5 . First, write the division bracket.

problem solving multiplication and division lesson 1 9

Next, write the number being divided, 125 .

problem solving multiplication and division lesson 1 9

Finally, write the number we're dividing by, 5 .

problem solving multiplication and division lesson 1 9

Remember, you should be careful to set up long division problems correctly.

problem solving multiplication and division lesson 1 9

The number you're dividing goes under the division bracket...

problem solving multiplication and division lesson 1 9

The number you're dividing goes under the division bracket... and the number you're dividing by goes to the left of it.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

We'll begin with the left digit under the division bracket. That means we'll start with the 4 ...

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

3 is the closest to 4 .

problem solving multiplication and division lesson 1 9

Next, we'll find the row 3 is located in. It's the 1's row.

That means 3 goes into 4 one time.

problem solving multiplication and division lesson 1 9

We'll write 1 above the 4 and the division bracket.

problem solving multiplication and division lesson 1 9

The next step is to multiply the 1 and 3 .

problem solving multiplication and division lesson 1 9

Whenever you multiply a number by 1, that number stays the same. So 1 x 3 is 3 .

problem solving multiplication and division lesson 1 9

We'll write 3 below the 4 .

problem solving multiplication and division lesson 1 9

The next step is to subtract .

problem solving multiplication and division lesson 1 9

Now we solve 4 - 3 .

problem solving multiplication and division lesson 1 9

4 - 3 is 1 . We'll write 1 below the 4 and 3 .

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

We'll bring the 2 down and rewrite it next to the 1 .

problem solving multiplication and division lesson 1 9

See how the 1 and 2 look like the number 12 ? That's the next number we need to divide.

problem solving multiplication and division lesson 1 9

12 is large enough to be divided, so we'll figure out how many times it can be divided by 3 .

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

It's the 4's row. 3 goes into 12 four times.

problem solving multiplication and division lesson 1 9

We'll write 4 above the 2 and the division bracket.

problem solving multiplication and division lesson 1 9

Now it's time to multiply the 4 and 3 .

problem solving multiplication and division lesson 1 9

4 x 3 is 12 .

problem solving multiplication and division lesson 1 9

Write the 12 beneath the 12 .

problem solving multiplication and division lesson 1 9

We'll set up our subtraction problem.

problem solving multiplication and division lesson 1 9

Now it's time to solve 12 - 12 .

problem solving multiplication and division lesson 1 9

12 - 12 is 0 . Write 0 beneath the line directly below the 2 and 2 .

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

Long division problems can have remainders too. Watch the slideshow to see how.

problem solving multiplication and division lesson 1 9

Let's try this problem, 49 / 4 .

problem solving multiplication and division lesson 1 9

As always, start by dividing the left digit. This means we'll solve for 4 / 4 .

problem solving multiplication and division lesson 1 9

4 / 4 is 1 .

problem solving multiplication and division lesson 1 9

Next, we'll multiply the answer we just got, 1 , by the number we're dividing by, 4 . So 4 x 1 .

problem solving multiplication and division lesson 1 9

4 x 1 is 4 .

problem solving multiplication and division lesson 1 9

Next, subtract 4 - 4 . Whenever you subtract a number from the same number, the answer is 0 . So 4 - 4 = 0 .

problem solving multiplication and division lesson 1 9

Our problem's not done. The next digit in the number we're dividing is 9 . We'll solve for 9 / 4 .

problem solving multiplication and division lesson 1 9

9 / 4 is 2.

problem solving multiplication and division lesson 1 9

Again, we'll multiply the number we just wrote by the number we're dividing by.

problem solving multiplication and division lesson 1 9

2 x 4 is 8 .

problem solving multiplication and division lesson 1 9

We'll subtract that number, 8 , from the number we were dividing.

problem solving multiplication and division lesson 1 9

9 - 8 is 1 .

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

As always, we'll begin with the left digit under the division bracket. That means we'll start with the 6 ...

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

4 is the closest to 6 .

problem solving multiplication and division lesson 1 9

Next, we'll find the row 4 is located in. It's the 1's row.

problem solving multiplication and division lesson 1 9

That means 4 goes into 6 one time. We'll write 1 above the 6 .

problem solving multiplication and division lesson 1 9

Next, we'll multiply the 1 and 4 .

problem solving multiplication and division lesson 1 9

Remember, whenever you multiply a number by 1, that number always stays the same. So 1 x 4 is 4 .

problem solving multiplication and division lesson 1 9

We'll write 4 below the 6 .

problem solving multiplication and division lesson 1 9

The next step is to subtract.

problem solving multiplication and division lesson 1 9

Now we solve 6 - 4 .

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

We'll bring the 2 down and rewrite it next to the 2 .

problem solving multiplication and division lesson 1 9

22 is large enough to be divided, so we'll figure out how many times it can be divided by 4 .

problem solving multiplication and division lesson 1 9

Let's look at the 4's column to locate the number closest to 22 . The number can't be any larger than 22 .

problem solving multiplication and division lesson 1 9

20 is the closest to 22 .

problem solving multiplication and division lesson 1 9

Now we'll find the row 20 is located in. It's the 5's row. So 4 goes into 20 five times.

problem solving multiplication and division lesson 1 9

We'll write 5 above the 2 .

problem solving multiplication and division lesson 1 9

Now we need to multiply the 5 and 4 .

problem solving multiplication and division lesson 1 9

5 x 4 is 20 .

problem solving multiplication and division lesson 1 9

We'll write 20 beneath the 22 .

problem solving multiplication and division lesson 1 9

Now it's time to solve 22 - 20 .

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

So next to the 62 , we'll write the number that means nothing: 0 .

problem solving multiplication and division lesson 1 9

But that changes 62 into a larger number: 620 . That won't work.

problem solving multiplication and division lesson 1 9

So to keep the value of 62 this same, we'll add a decimal point between the 62 and the 0 .

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

Now we can continue to solve the problem. We'll bring the 0 down and rewrite it next to the 2 .

problem solving multiplication and division lesson 1 9

Let's figure out how many times 20 can be divided by 4 .

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

The 4's column has a 20 . That's as close as we can get!

problem solving multiplication and division lesson 1 9

Now we find the row 20 is located in. It's the 5's row. 4 goes into 20 five times.

problem solving multiplication and division lesson 1 9

We'll write 5 above the 0 .

problem solving multiplication and division lesson 1 9

Now it's time to multiply the 5 and 4 .

problem solving multiplication and division lesson 1 9

Write 20 beneath the 20 .

problem solving multiplication and division lesson 1 9

Time to solve 20 - 20 .

problem solving multiplication and division lesson 1 9

20 - 20 = 0 . Write 0 below the line directly below the 0 and 0 .

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

Let's look at this problem: 54 / 6 = 9 .

problem solving multiplication and division lesson 1 9

How do we know that 9 is the correct answer? We can check by multiplying.

problem solving multiplication and division lesson 1 9

Let's set up our multiplication problem. First, we'll write the quotient. That means we'll write 9 .

problem solving multiplication and division lesson 1 9

Next, we'll multiply the number that we divided by, 6 .

problem solving multiplication and division lesson 1 9

Time to multiply. 9 x 6 = 54 .

problem solving multiplication and division lesson 1 9

If we divided correctly, the answer will match the larger number in the division problem.

problem solving multiplication and division lesson 1 9

They are both 54 . We checked the problem, and it was correct!

problem solving multiplication and division lesson 1 9

Let's try checking another problem. This time, the quotient has a remainder: 20 / 3 = 6 r2 .

problem solving multiplication and division lesson 1 9

Let's set up our multiplication problem. First write the quotient without the remainder. That's 6 .

problem solving multiplication and division lesson 1 9

Then multiply the amount that the larger number was divided by, 3 .

problem solving multiplication and division lesson 1 9

Now it's time to multiply. 6 x 3 = 18 .

problem solving multiplication and division lesson 1 9

Let's check to see if our answer matches the larger number in the division problem — 18 and 20 . No, they aren't equal.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

We'll set up an addition problem to add the 2 to 18 .

problem solving multiplication and division lesson 1 9

Now add 18 and 2 .

problem solving multiplication and division lesson 1 9

18 + 2 is 20 .

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

Let's set up our multiplication problem.

problem solving multiplication and division lesson 1 9

We'll write the decimal quotient, 11.4 .

problem solving multiplication and division lesson 1 9

Next, we'll multiply the number that we divided by, 5 .

problem solving multiplication and division lesson 1 9

Now it's time to multiply: 11.4 x 5 .

problem solving multiplication and division lesson 1 9

Since the quotient had one digit to the right of the decimal point...

problem solving multiplication and division lesson 1 9

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 .

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

Can you replace the letters with numbers? Is there only one solution in each case?

problem solving multiplication and division lesson 1 9

Multiplication Square Jigsaw

Can you complete this jigsaw of the multiplication square?

problem solving multiplication and division lesson 1 9

Shape Times Shape

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

Journeys in Numberland

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

problem solving multiplication and division lesson 1 9

Ordering Cards

This problem is designed to help children to learn, and to use, the two and three times tables.

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

Highest and Lowest

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

Find at least one way to put in some operation signs to make these digits come to 100.

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

Factor Lines

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

problem solving multiplication and division lesson 1 9

Two Primes Make One Square

Can you make square numbers by adding two prime numbers together?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

problem solving multiplication and division lesson 1 9

Which Is Quicker?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

problem solving multiplication and division lesson 1 9

A Square of Numbers

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

An Easy Way to Multiply by 10?

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

Factors and Multiples Game

This game can replace standard practice exercises on finding factors and multiples.

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

problem solving multiplication and division lesson 1 9

Which Symbol?

Choose a symbol to put into the number sentence.

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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.

problem solving multiplication and division lesson 1 9

So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

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!

problem solving multiplication and division lesson 1 9

Multiply Multiples 1

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

problem solving multiplication and division lesson 1 9

Multiply Multiples 2

Can you work out some different ways to balance this equation?

problem solving multiplication and division lesson 1 9

Multiply Multiples 3

Have a go at balancing this equation. Can you find different ways of doing it?

problem solving multiplication and division lesson 1 9

Division Rules

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

problem solving multiplication and division lesson 1 9

Always, Sometimes or Never? Number

Are these statements always true, sometimes true or never true?

problem solving multiplication and division lesson 1 9

Satisfying Four Statements

Can you find any two-digit numbers that satisfy all of these statements?

problem solving multiplication and division lesson 1 9

Picture Your Method

Can you match these calculation methods to their visual representations?

problem solving multiplication and division lesson 1 9

Compare the Calculations

Can you put these four calculations into order of difficulty? How did you decide?

problem solving multiplication and division lesson 1 9

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?

problem solving multiplication and division lesson 1 9

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

problem solving multiplication and division lesson 1 9

Xavi's T-shirt

How much can you read into a T-shirt?

problem solving multiplication and division lesson 1 9

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Division Lesson Plans for Kids

problem solving multiplication and division lesson 1 9

CONTENT TYPE

  • Lesson Plans
  • Number Sense (67)
  • Counting (36)
  • Compare and Order Numbers (14)
  • Compare Numbers (14)
  • Place Value (25)
  • Addition (55)
  • Addition Sentences (13)
  • Addition Sentence within 10 (10)
  • Model Addition (10)
  • Addition Strategies (33)
  • Addition Strategies within 10 (13)
  • Subtraction (40)
  • Subtraction Strategies (22)
  • Multiplication (36)
  • Multi-digit Multiplication (10)
  • Multiplication Properties (15)
  • Distributive Property (12)
  • Times Tables (6)
  • Division (13)
  • Fractions (28)
  • Fractions Operations (16)
  • Decimals (9)
  • Geometry (7)
  • Measurement (6)
  • Counting Money (8)
  • Algebra (4)
  • Word Problems (38)
  • Addition and Subtraction Word Problems (20)
  • Multiplication and Division Word Problems (11)
  • Reading (223)
  • Phonics (108)
  • Beginning Consonant Blends (21)
  • L Blend Words (10)
  • Vowels (24)
  • Short Vowel Sounds (11)
  • Blending (4)
  • CVC Words (4)
  • Consonant Digraphs (11)
  • Sight Words (12)
  • Reading Skills (145)
  • Inference (11)
  • Identify the Main Idea (15)
  • Story Elements (19)
  • Compare and Contrast (13)
  • Comprehension (11)
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  • Context Clues (12)
  • Communication Skills (15)
  • Speaking Skills (10)
  • Writing (20)
  • Creative Writing (20)
  • Grammar (85)
  • Adverbs and Adjectives (10)
  • Nouns and Pronouns (24)
  • Pronouns (8)
  • Prepositions and Conjunctions (13)
  • Punctuation (12)
  • Sentences (9)
  • Verbs and Tenses (19)
  • Vocabulary (21)
  • Affixes (4)
  • Synonyms and Antonyms (4)
  • Flashcards (31)
  • Phonics Flashcards (28)

Master Equal Sharing - Lesson Plan

Equal Sharing: Distribute, Divide & Thrive

Master equal sharing and division in this interactive math lesson.

Mastering Division with Equal Groups - Lesson Plan

Equal Groups Division: Dive into Magic

Master division using equal groups in this interactive math lesson.

Mastering Division Facts and Word Problems - Lesson Plan

Division Mastery: Facts & Problem-Solving Fun

Master division facts and problem-solving skills with this interactive math lesson.

Relate Multiplication and Division - Lesson Plan

Relate Multiplication & Division

Explore the connection between multiplication and division in this engaging math lesson.

Dive into Multiplication Fun - Lesson Plan

Dive into Multiplication Fun

Explore multiplication facts of 3, 1, and 0 through engaging activities

Comparing Division Expressions with Ease - Lesson Plan

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 - Lesson Plan

Magical Multi-Step Word Problems

Unleash your problem-solving skills in this magical math adventure!

Master the Long Division Method - Lesson Plan

Uncover Long Division Secrets

Explore the long division method and master the art of dividing numbers with this interactive math lesson.

Dive into Division Strategies and Activities - Lesson Plan

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!

Relationship Between Multiplication and Division - Lesson Plan

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.

Deep Dive into the Relationship Between Multiplication and Division - Lesson Plan

Multiplication & Division Deep Dive

Explore the connection between multiplication and division in this interactive math lesson.

Place Values and Powers of 10 - Lesson Plan

Unlocking the Power of Place Value

Master place value with engaging activities.

Mastering Multi-Step Problems - Lesson Plan

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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problem solving multiplication and division lesson 1 9

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Preview of TEKS 4.4H Multiplication and Division Problem Solving - Practice Sheets

TEKS 4.4H Multiplication and Division Problem Solving - Practice Sheets

problem solving multiplication and division lesson 1 9

CSI: Problem Solving w/ Multiplication & Division Activity - Printable Game

problem solving multiplication and division lesson 1 9

  • Google Apps™

Preview of Christmas Holidays Sort n Solve Multiplication and Division Word Problems

Christmas Holidays Sort n Solve Multiplication and Division Word Problems

problem solving multiplication and division lesson 1 9

Valentine Candy Box Craft Multiplication and Division Story Problem Solving

problem solving multiplication and division lesson 1 9

Guided Math 3rd Grade Multiplication and Division Problem Solving Unit 4

problem solving multiplication and division lesson 1 9

3rd Grade Multiplication and Division Problem Solving Enrichment Projects

problem solving multiplication and division lesson 1 9

  • Easel Activity

Preview of Math Problem Solving Rubric and Student Checklist (multiplication and division)

Math Problem Solving Rubric and Student Checklist ( multiplication and division )

problem solving multiplication and division lesson 1 9

3rd Grade Winter Math Party Project | Multiplication & Division Problem Solving

problem solving multiplication and division lesson 1 9

4th Grade Math Centers Multiplication and Division Problem Solving

Preview of Stations by Standard Multiplication and Division Problem Solving Third Grade

Stations by Standard Multiplication and Division Problem Solving Third Grade

Preview of Whole Number Multiplication and Division Solve and Snip® Word Problems

Whole Number Multiplication and Division Solve and Snip® Word Problems

problem solving multiplication and division lesson 1 9

Math Logic Problems , Puzzles for Multiplication and Division , Problem - Solving

problem solving multiplication and division lesson 1 9

Christmas Craft Multiplication and Division Story Problem Solving Train

Preview of 3rd Grade STAAR STATION 6: PROBLEM SOLVING Multiplication & Division

3rd Grade STAAR STATION 6: PROBLEM SOLVING Multiplication & Division

problem solving multiplication and division lesson 1 9

Jelly Bean Problem Solving : Multiplication and Division (TEKS 4.4H)

problem solving multiplication and division lesson 1 9

Stations by Standard Multiplication , Division , and Problem Solving Fourth Grade

Preview of Problem Solving Multiplication and Division Flow Chart for Word Problems

Problem Solving Multiplication and Division Flow Chart for Word Problems

problem solving multiplication and division lesson 1 9

Third Grade Skill Pages Multiplication and Division Problem Solving

Preview of Digital Guided Math Third Grade Multiplication & Division Problem Solving

Digital Guided Math Third Grade Multiplication & Division Problem Solving

Preview of Halloween Math Problem Solving Pages - Add, Subtract, Multiply, & Divide

Halloween Math Problem Solving Pages - Add, Subtract, Multiply , & Divide

problem solving multiplication and division lesson 1 9

Fourth Grade Skill Pages Multiplication & Division Strategies & Problem Solving

Preview of 5th Grade Fraction Multiplication and Division Problem Solving Task Cards

5th Grade Fraction Multiplication and Division Problem Solving Task Cards

problem solving multiplication and division lesson 1 9

TEKS 4.4H - Multiplication and Division Problem Solving Christmas Themed

Preview of TEKS 4.4H Multiplication and Division Problem Solving - STAAR 2.0 Task Cards

TEKS 4.4H Multiplication and Division Problem Solving - STAAR 2.0 Task Cards

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IMAGES

  1. Problem Solving with Multiplication and Division

    problem solving multiplication and division lesson 1 9

  2. Problem Solving Multiplication and Division KS1

    problem solving multiplication and division lesson 1 9

  3. free 8 sample multiplication and division worksheet templates in pdf

    problem solving multiplication and division lesson 1 9

  4. problem solving multiplication and division lesson 1 9

    problem solving multiplication and division lesson 1 9

  5. Winter Multiplication and Division Problem Solving Task Cards Organizer

    problem solving multiplication and division lesson 1 9

  6. problem solving with division and multiplication

    problem solving multiplication and division lesson 1 9

VIDEO

  1. Class 4 Mathematics|pg#30 Q1,2|Chp#2 Multiplication & Division|Lesson #1 Factor| Practice Questions

  2. Example: 3-by-3 digit multiplication (5th grade math)

  3. Grade 3 Chapter 3 The relation between multiplication and division

  4. Class 4 Mathematics| pg#35 Q1-6| Chapter 2 Multiplication & Division| Lesson #2 Multiples Practice Q

  5. Solving multiplication with 1step

  6. Lesson 1.9 Problem Solving Multiplication and Division

COMMENTS

  1. 5th grade GO Math-Lesson 1.9 Problem Solving-Multiplication and

    This video covers Lesson 1.9 Problem-Solving-Multiplication and Division on pages 39-42 of the 5th grade GO Math textbook.

  2. Problem Solving with Multiplication and Division

    This lesson uses the method "solving a simpler problem" to help us break down the big numbers with multiplication and division.

  3. PDF Go Math! Practice Book (TE), G5

    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.

  4. Go Math 5th Grade Lesson 1.9 Problem Solving Multiplication Division

    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...

  5. PDF Go Math! Practice Book (TE), G5

    Title: Go Math! Practice Book (TE), G5 Created Date: 9/9/2016 12:49:42 PM

  6. PDF PROBLEM SOLVING Name 1

    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.

  7. PDF Name Lesson 1.9 Problem Solving • Multiplication

    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.

  8. Go Math Interactive Mimio Lesson 1.9 Problem Solving Multiplication and

    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.**

  9. Multiplication and division

    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

  10. Solving multiplication and division problems

    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.

  11. Multiplication and Division: Introduction to Division

    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.

  12. Unit

    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.

  13. 5th Grade Math 1.9, Word Problem Solving, Multiplication & Division

    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...

  14. Multiplication and Division: Long Division

    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.

  15. Multiplication and Division KS2

    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.

  16. Relating division to multiplication (video)

    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.

  17. Division Lesson Plans for Kids Online

    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!

  18. Lesson 1.9 problem solving multiplication and division

    Lesson 1.9 problem solving multiplication and division by Susan Warren - May 25, 2013

  19. 1-9: Problem Solving (Multiplication and Division)

    via YouTube Capture

  20. Problem Solving by Using Multiplication to Solve Division Problems

    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!

  21. problem solving multiplication and division

    ***THIS PRODUCT HAS BEEN UPDATED WITH A GOOGLE SLIDES INTERACTIVE VERSION INCLUDED. REDOWNLOAD IF YOU HAVE IT ALREADY***Nothing like a good criminal investigation to liven up numb

  22. Solving Multiplication and Division Word Problems

    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.

  23. Course: G3M3: Multiplication and Division with Units of 0, 1, 6-9, and

    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.