# Subtraction Using Compensation — Let's Practice!

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## Subtraction Using Compensation – Introduction

Get a piece of paper and a pencil ready because today we're going to practice something called subtraction using compensation. It’s a cool trick that makes subtracting numbers easier and faster. Ready to begin? Let's go!

## What Is Subtraction Using Compensation?

Subtraction using compensation means adjusting one number to make the math easier, and then doing the same adjustment to the other number.

For example, if you add one to a number to make it easier, you also add one to the other number to keep the balance. You will see that using number pairs to 10 will prove to be very helpful here! Let’s practice this with some fun problems!

What does subtraction using compensation mean?
What must you remember to do when you use subtraction using compensation?
Why do we use subtraction using compensation?

## Subtraction Using Compensation – Example

Let's solve a problem using subtraction with compensation:

Problem

If Imani wants to subtract 15 screws from 32, how many will be left over?

Solution

Follow these simple steps to find the solution.

Step Explanation Result
Choose which number to make friendlier Let's make 15 friendlier
Add to the friendlier number Add 5 to 15 15 + 5 = 20
Adjust the other number Also add 5 to 32 to keep the balance 32 + 5 = 37
Subtract the new numbers Subtract 20 from 37 37 - 20 = 17

So, Imani has 17 screws left!

## Subtraction Using Compensation – Guided Practice

Let's try another problem together.

Problem

If Mr. Squeaks wants to subtract 18 seeds from 35, how many will he have left over?

So, Mr. Squeaks has 17 seeds left!

## Subtraction Using Compensation – Application

Now, try solving this problem on your own:

Problem If Imani wants to subtract 14 bolts from 36, how many will be left over?

So, Imani has 22 bolts left!

### Subtraction Using Compensation – Examples

To be truly fluent in subtraction using compensation, have a look at some more examples and complete them by following the steps.

Problem Step 1: Make a Number Friendlier Step 2: Adjust the Other Number Step 3: Subtract the New Numbers Solution
22 - 15 Add 5 to 15 to make it 20 Add 5 to 22 to make it 27 27 - 20 7
35 - 18 Add 2 to 18 to make it 20 Add 2 to 35 to make it 37 37 - 20 17
36 - 14 Add 6 to 14 to make it 20 Add 6 to 36 to make it 42 42 - 20 22
63 - 21 Add 9 to 21 to make it 30 Add 9 to 63 to make it 72 72 - 30 42

## Subtraction Using Compensation – Summary

Key Learnings from this Text:

• Subtraction using compensation makes subtracting numbers easier and faster.
• Adjust one number to make it friendlier, and do the same adjustment to the other number.

Keep practicing subtraction using compensation to become a math whiz! Check out more fun math problems and activities on our website, especially try out using compensation in addition.

## Subtraction Using Compensation – Frequently Asked Questions

What is subtraction using compensation?
How do you use subtraction using compensation?
Why is subtraction using compensation helpful?
Can you give an example of subtraction using compensation?
What should you remember when using subtraction using compensation?
What is a "friendlier" number?
Is subtraction using compensation used only in math?
Can subtraction using compensation be used for addition?
Where can I practice more subtraction using compensation problems?

### TranscriptSubtraction Using Compensation — Let's Practice!

Razzi says get these items ready (...) Because today we're going to practice... Subtraction using compensation. It's time to begin! Remember that compensation is something given in return for something. In math we use this with numbers. If Imani wants to subtract twelve screws from twenty-two, how many will be left over? Start by choosing which number to make friendlier. Next, solve using mental math, or your pencil and paper. Did you also get ten? Let's tackle the next problem! If Mr. Squeaks wants to subtract eighteen seeds from thirty-five, how many will he have left over? Start by choosing which number to make friendlier. Next, solve using mental math, or your pencil and paper. Did you also get seventeen? Let's tackle the next problem! If Imani wants to subtract fourteen bolts from the thirty-six, how many will be left over? Start by choosing which number to make friendlier. Next, solve using mental math, or your pencil and paper. Did you also get twenty-two ? Let's tackle the final problem! If Mr. Squeaks wants to subtract twenty-one flowers from the sixty-three, how many will he have left over? Start by choosing which number to make friendlier. Next, solve using mental math, or your pencil and paper. Did you also get forty-two? Razzi had so much fun practicing with you today! See you next time!

## Subtraction Using Compensation — 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 Subtraction Using Compensation — Let's Practice!.
• ### Why does Razzi suggest making one of the numbers "friendlier" before subtracting?

Hints

Think about why making one number friendlier can simplify the subtraction.

Think about rounding to the nearest 10 or 5 and how it affects the subtraction process.

Solution

Making one of the numbers friendlier helps us to adjust the numbers in a way that makes the calculation easier.

• ### What would be the result after subtraction using compensation?

Hints

Remember, whatever you have done to one number must also be done to the other number.

When making 15 friendlier, we add 5 to it to round it to 20.

Then we also add 5 to 8.

Solution

The steps are:

1.First choose to make one number friendlier. In this case, making 15 friendlier would make it simpler.

2.Change the friendlier number to an easier value. Round 15 to the nearest 10, which is 20.

3.As we added 5 to 15, we need to add 5 to 8. 8 + 5 = 13

4.Last, subtract the changed numbers. If 20 - 13 = 7, then 15 - 8 = 7

• ### How many cookies will Mr. Squeaks have after each subtraction?

Hints

If you round one number down, adjust the other number accordingly.

45 - 21 = ?

If we round down 21 to 20, we take away 1.

We take away 1 from 45 as well, and we have 44.

44 - 20 = 24

Solution

45 - 21 = 24

65 - 12 = 53

18 - 9 = 9

72 - 28 = 44

• ### Solve the problem.

Hints

Identify Friendlier Number: Choose to make the number 37 friendlier.

Adjust Friendlier Number: Adjust 37 to a more convenient value, such as 40.

Solve 40 - 22 to find the answer.

Solution

Mr. Squeaks will have 18 marbles left after subtracting 19 marbles from 37 using compensation.

1. Choose a friendly number close to 37. Let's choose 40.
2. Since we add 3 to 37, we need to add 3 to 19, which makes it 22.
3. Subtract the adjusted numbers. 40-22=18
• ### Solve the subtraction using compensation.

Hints

We can start by rounding 12 to the nearest tens place.

What number is this?

When we subtract 2 from 12, we also have to subtract 2 from the other number.

3 - 2 = ?

Solution

1.Start by making 12 friendlier.

2.Round 12 to 10 by taking away 2.

3.Next, we need to take away 2 from 3.

4.We now have 10 - 1.

5.10 - 1 = 9 therefore 12 - 3 = 9

• ### Can you solve the subtraction using compensation?

Hints

Consider rounding one of the numbers to a convenient value to simplify the subtraction process.

If we make 25 become 30 by adding 5, we also have to add 5 to 8.

Solution

25 - 8 = 17

1.Add 5 to 25 to make it 30.

2.Then add 5 to 8 as well. It makes it 13.

3.Now subtract 30 - 13 = 17

4.30 - 13 =17 therefore 25 - 8 = 17