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Let's Learn!

How can we use a number line to multiply?

Goal:

Goal:

Think About It!

Goal: Recognize how multiplying and skip counting on a number line relate.

How many pictures are on each page of Daniel’s book? We can use a number line to skip count!

Book Cover - Daniel
I like to... 5 groups of 2 kids swimming. At home I help by... 6 groups of 3 dishes.
I like to learn about... 5 groups of 5 bugs. This year I want to... 4 groups of 10 books.

A number line is a line that shows numbers in order. We will use number lines that start at 0. We can use them to skip count by counting up by equal jumps. We skip count by how many numbers, or spaces, we jump over in each jump. The number of jumps is the number of times we skip count.

Let’s look at an example. Let’s skip count by 10s two times. The number line will look like this.

number line from 0-20 with two jumps of 10

What happens if the number line does not have enough numbers? We can change the numbers on the number line! The number of jumps stays the same. We are still jumping the same number of spaces too. The numbers are closer together so that we can skip count up higher! We will use this method to skip count by 2s, 3s, 5s, and 10s on a number line.

number line from 0-100 with two 10 jumps

The number line can help us write multiplication sentences. The number of jumps is the first factor. The number of spaces we jump each time is the second factor. The answer to the multiplication sentence is the number the last jump lands on!

2 \({ \times }\) 10 = 20

Which factor shows the number of jumps?

2

😃 2 is correct! The first factor is the number of jumps!

\({ \times }\)

10

🤔 No. The first factor is the number of jumps.

\({ = }\)

20

🤔 No. The first factor is the number of jumps.


Daniel likes to swim with his friends! Here are the swimming kids from the first page of his book.

5 groups of 2 kids swimming

The picture shows 5 groups of 2 kids. We need to show skip counting by 2s five times on a number line. That means we need 5 jumps on a number line that skip counts by 2s. Click Show Me to see!


Number line:

number line from 0-20 with 5 jumps of +2

We skip counted by 2s five times. The multiplication sentence has 5 as the first factor. 2 is the second factor.

5 \({ \times }\) 2 = ___

The number the last jump lands on is the answer for the multiplication sentence. Click Show Me to see!


number line from 0-20 with 5 jumps of +2

5 \({ \times }\) 2 = 10

There are 10 swimming kids on the first page of Daniel’s book!

Daniel helps wash the dishes at home. Here are the plates from the second page of his book.

5 groups of 3 dishes

The picture shows 6 groups of 3 plates. We need to show skip counting by 3s six times on a number line. That means we need 6 jumps on a number line that skip counts by 3s. Click Show Me to see!


Number line:

number line from 0-30 with 6 jumps of +3

We skip counted by 3s six times. The multiplication sentence has 6 as the first factor. 3 is the second factor.

6 \({ \times }\) 3 = ___

The number the last jump lands on is the answer for the multiplication sentence. Click Show Me to see!


number line from 0-30 with 6 jumps of +3

6 \({ \times }\) 3 = 18

There are 18 plates on the second page of Daniel’s book!

Daniel wants to learn about bugs. Here are the bugs from the third page of his book.

5 groups of 5 bugs

The picture shows 5 groups of 5 bugs. We need to show skip counting by 5s five times on a number line. That means we need 5 jumps on a number line that skip counts by 5s. Click Show Me to see!


Number line:

number line from 0-50 with 5 jumps of +5

We skip counted by 5s five times. The multiplication sentence has 5 as the first factor. 5 is also the second factor.

5 \({ \times }\) 5 = ___

The number the last jump lands on is the answer for the multiplication sentence. Click Show Me to see!


number line from 0-50 with 5 jumps of +5

5 \({ \times }\) 5 = 25

There are 25 bugs on the third page of Daniel’s book!

Daniel wants to read a lot of books this year. Here are the books from the fourth page of his book.

4 groups of 10 books

The picture shows 4 groups of 10 books. We need to show skip counting by 10s four times on a number line. That means we need 4 jumps on a number line that skip counts by 10s. Click Show Me to see!


Number line:

number line from 0-100 with 4 jumps of +10

We skip counted by 10s four times. The multiplication sentence has 4 as the first factor. 10 is the second factor.

4 \({ \times }\) 10 = ___

The last number of the sequence is the answer for the multiplication sentence. Click Show Me to see!


number line from 0-100 with 4 jumps of +10

4 \({ \times }\) 10 = 40

There are 40 books on the fourth page of Daniel’s book!


Skip counting is a quick way to find a product! We can use a number line to skip count easily.