# Multiplication on a Number Line

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Multiplication on a Number Line
CCSS.MATH.CONTENT.3.OA.C.7

## Multiplication on a Number Line

Imagine this: Your parents are online shopping, but want to make sure they’re not ordering too many items. They want to use multiplication on a number line to calculate how many items they will be buying. Multiplication on number lines can help them keep track of what they are buying. Let’s learn how multiplication on number lines works by looking at an example.

## Multiplication on Number Lines – Example

You might be wondering, ‘how to use a number line for multiplication?’ Multiplication using a number line requires you to follow some steps to set up the problem, and solve it. To do multiplication using a number line, you need to do the following:

Step # What to do
1 Set up a number line for multiplication
2 The first factor tells you how many
times you need to jump
3 The second factor tells you how many
times to jump by each time
4 The number you land on is the product
of multiplication

Let’s look at how these steps work by looking at an example. Remember, first you need to:

• Set up a number line for multiplication • Write the multiplication read at the top. Here, we have two times three • The first factor, two, tells you how many times to jump • The second factor, three, tells us how many we are jumping by each time. • Now complete the jumps! For two times three, we are doing two jumps of three, which lands us on our product, six This is how you can use a number line model for multiplication.

## Multiplication with a Number Line – Summary

Remember, to do multiplication on number line, follow these steps:

• Set up a number line
• The first factor tells you how many times to jump
• The second factor tells you how many to jump by each time
• The number you land on is the product You can find interactive exercises on multiplication on a number line as well as worksheets after watching the video for extra practice.

### TranscriptMultiplication on a Number Line

Mr. Squeaks and Imani are doing some online shopping with instant delivery. Items come in boxes of multiples, and Mr. Squeaks wants to calculate the total before ordering. Let's help them by using multiplication on a number line. When multiplying on a number line, first, identify the factor pair. Here, we have two and three. The first factor, two, tells us how many times we will jump, and the second factor, three, tells us how many we are jumping by each time. Starting from zero, we will do two jumps of three each time. From zero, one jump lands us on three, and two jumps lands us on six. The final number landed on is the product. Two multiplied by three gives a product of six. After taking some time to browse, it looks like Mr. Squeaks is going to order six boxes with two bottles of fur mousse in each box. With a number line ready, what is the factor pair we are multiplying here? It is six and two, meaning we will do six jumps of two each time. If we do six jumps of two, what number do we land on? One jump lands on two. Two jumps land on four. Three jumps land on six. Four jumps land on eight. Five jumps land on ten, and six jumps land on twelve. What is the product of six and two? We landed on twelve, so this is our product. Six times two gives a product of twelve, meaning they will order twelve bottles of fur mousse for Mr. Squeaks. Now they have added Mr. Squeaks fur mousse to their shopping cart, it's time to order Imani some rust free polish! Mr. Squeaks decides to order Imani three boxes with five containers of polish in each. With a number line ready, what is the factor pair we are multiplying? The factor pair is three and five. What is the next step? The next step is to do three jumps of five each. If we do three jumps of five, what number do we land on? When we do three jumps of five, we land on fifteen. What is the product of three and five? The product of three and five is fifteen, meaning they will order fifteen containers of rust free polish for Imani. While Mr. Squeaks and Imani submit their order and wait for instant delivery, let's review! Remember, first identify the factor pair. The first factor tells you the number of jumps and the second factor tells you how many you are jumping by each time. The final number landed on after all jumps are completed is the product. "Wow, they really meant instant delivery, but what is that look, Mr. Squeaks?" "This, Imani, is called fashion!"

## Multiplication on a Number Line exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Multiplication on a Number Line.
• ### How many berries does Mr. Squeaks order?

Hints

How many boxes does Mr. Squeaks order? This is the number of jumps we need to make.

Each jump is equal to the number that is in the box. There are 2 berries in each box, so the jumps are by 2.

What number do we land on when we do three jumps of two?

Solution
• The multiplication equation is 3 x 2.
• To solve this we can do three jumps of two.
• Three jumps of two gets us to six.
• ### How many items does Mr. Squeaks order?

Hints

How many jumps are there? This is one factor in the equation.

What is each jump equal to? This is another factor in the equation.

What is the final number that is landed on? This is the answer to the equation.

Solution

5 x 4 = 20 or 4 x 5 = 20

• There are 5 jumps
• Each jump is a jump of 4
• The final jump lands on 20
• Therefore 5 x 4 = 20 or 4 x 5 = 20
• ### Use a number line to multiply.

Hints

The first factor tells you how many jumps to make.

The second factor tells you how big each jump should be.

Whatever number you end up on is the answer.

Try drawing your own number line then drawing the jumps to solve the questions.

Solution

4 x 2 = 8

3 x 3 = 9

6 x 3 = 18

8 x 2 = 16

• ### How many glow sticks did he order?

Hints

Try drawing your own number line, then make the jumps to find the answer.

How many glow sticks are in each box? This is equal to the size of each jump on a number line.

How many boxes does he order? This is equal to the number of jumps made on the number line.

This number line shows how we could solve the problem.

Solution

Mr Squeaks ordered 4 boxes with 4 glowsticks in each box, so the equation to solve this is: 4 x 4 = 16.

• ### Imani's metal shine spray.

Hints

There are 3 cans in each box, so this is how many we jump each time.

Imani orders 5 boxes, this is the first factor, so this is the number of jumps that we should make.

What are 5 jumps of 3?

Solution

The image shows that Imani's equation is 5 x 3 so we make 5 jumps of 3 which gets us to 15 as the total.

We could also get to 15 by doing 3 jumps of 5 or 3 x 5.

• ### Multiply on a number line.

Hints

Try drawing your own number line. Remember that the first factor is the number of jumps needed.

Remember that the second factor is the size of each jump.

Whatever number you land on is the answer.

Solution

This image shows the solutions correctly matched with each equation.