Make a Number Line to Add — Let's Practice!

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Adding with a Number Line – Introduction

We're diving into the world of adding with a number line. This method is a fantastic way to visualize addition and make it easier to understand. Get your paper and pencil ready because we're going to practice this together!

What Is Addition with a Number Line?

Addition with a number line involves drawing a number line, placing the larger number on the left, and then moving forward to the right in small steps equal to the second number. This visual approach helps us see how numbers add up.

Here are the steps to tackle addition with a number line:

Step # Action
1 Read the problem and determine what you are asked to find.
2 Draw a number line and place the larger number on the left.
3 Count forward in small steps equal to the second number.
4 Land on the final number, which is your sum.
5 Check your answer to ensure it makes sense with the problem.

Let's practice understanding addition with a number line with a few examples.

Solving Addition with a Number Line – Example

Example 1:

Mr. Squeaks has 34 screws and 26 nails. How many does he have altogether?

Steps to Solve the Problem:

Step # Action
1 Draw a number line.
2 Put the larger number (34) on the left.
3 Count forward by 26 steps.

Total: 60

Example 2:

Mr. Squeaks has 50 green paper clips and 16 blue ones. How many does he have altogether?

Steps to Solve the Problem:

Step # Action
1 Draw a number line.
2 Put the larger number (50) on the left.
3 Count forward by 16 steps.

Total: 66

Example 3:

Imani has 62 mini-erasers and 22 stickers. How many things do they have in total?

Steps to Solve the Problem:

Step # Action
1 Draw a number line.
2 Put the larger number (62) on the left.
3 Count forward by 22 steps.

Total: 84

Solving Addition with a Number Line – Application

Now, let's put your skills to the test. Solve these problems on your own, and check the solutions when you're ready!

Solving Addition with a Number Line – Summary

Key Learnings from this Text:

• Solving addition problems on a number line can be achieved by following these steps:
Step # Action
1 Read the problem and determine what you are asked to find.
2 Draw a number line and place the larger number on the left.
3 Count forward in small steps equal to the second number.
4 Land on the final number, which is your sum.
5 Check your answer to ensure it makes sense with the problem.
• Mastering addition on a number line is an important visual math skill.

Keep practicing these steps, and you'll become a pro at adding numbers on a number line! Check out more fun math challenges and exercises on our website to continue sharpening your skills.

Why do we use a number line for addition?
Can I use a number line for subtraction?
What if I land on a number that seems wrong?
Can I add more than two numbers on a number line?
How can I get better at using a number line?

Make a Number Line to Add — Let's Practice! exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Make a Number Line to Add — Let's Practice!.
• Show the steps of using a number line to solve a problem.

Hints

Try making your own number line to solve 17 + 22. What did you do first?

Think about the problem step by step. Before we count forward by the second addend, what do we need to do?

Solution

The steps to using a number line to solve a problem are:

1. Draw a number line.
2. Put the larger addend on the left.
3. Count forward by small amounts from the second addend.
4. Solve the equation.

• Show how to add using the number line.

Hints

Remember, put the larger addend on the left.

Think about the gaps at the top, that is where we move forward with small amounts of the second addend. The gaps start with + __.

The addends are filled in. Place the sums below on the number line.

Solution

This is how we use a number line to add!

The larger addend 76 is on the left. The smaller addend 16 is split into small amounts (+10 and +6).

76 + 16 = 92.

• Use the number line to add the numbers and find the answer.

Hints

Remember, first we put the larger addend on the left. Which number is larger?

Once the larger addend is on the left, count forward by small amounts of the second addend. Fill in the blanks as you count on.

Solution

53 + 32 = 85.

We start at the larger addend, 53. From there, we add the smaller addend 32 by small amounts (10 + 10 + 10 + 2) until the numbers are added to make 85.

• Use the number line to solve the equation.

Hints

Remember, put the larger addend on the left.

To fill in the numbers on the top, think about how to split up the number 12 into smaller amounts.

The addends are filled in on the number line. Can you place the sums below?

Solution

64 + 12 = 76.

First, we put the larger addend 64 on the left. Then, we split 12 into smaller amounts (10 + 2). 64 + 10 = 74, 74 + 2 = 76.

• Complete the number line.

Hints

Add each number (10 and 7) to fully add 17. Use the number line to guide you.

Solution

The number line starts with the larger addend (40) on the left. Next, we count forward by small amounts of the second addend: 40 +10 = 50, 50 + 7 = 57.

The answer to 40 + 17 = 57

• Create your own number lines to solve.

Hints

Remember to break the second addend into small amounts. For example: 24 + 14. 14 is the smaller addend. We can break it into +10 and +4.

Remember, you have solved the problem once you have added the entire second addend.

Solution

By making our own number lines, we can solve the equations:

24 + 14 = 38

45 + 18 = 63

58 + 13 = 71