Subtraction Using Compensation — Let's Practice!
 Subtraction Using Compensation – Introduction
 What Is Subtraction Using Compensation?
 Subtraction Using Compensation – Example
 Subtraction Using Compensation – Guided Practice
 Subtraction Using Compensation – Application
 Subtraction Using Compensation – Summary
 Subtraction Using Compensation – Frequently Asked Questions
Basics on the topic Subtraction Using Compensation — Let's Practice!
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!
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.
 Always remember to balance your adjustments.
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
Transcript Subtraction 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 twentytwo, 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 thirtyfive, 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 thirtysix, 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 twentytwo ? Let's tackle the final problem! If Mr. Squeaks wants to subtract twentyone flowers from the sixtythree, 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 fortytwo? Razzi had so much fun practicing with you today! See you next time!
Subtraction Using Compensation — Let's Practice! exercise

Why does Razzi suggest making one of the numbers "friendlier" before subtracting?
HintsThink 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.
SolutionMaking 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?
HintsRemember, 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.
SolutionThe 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?
HintsIf 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
After subtracting, doublecheck your answer.
Solution45  21 = 24
65  12 = 53
18  9 = 9
72  28 = 44

Solve the problem.
HintsIdentify 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.
SolutionMr. Squeaks will have 18 marbles left after subtracting 19 marbles from 37 using compensation.
 Choose a friendly number close to 37. Let's choose 40.
 Since we add 3 to 37, we need to add 3 to 19, which makes it 22.
 Subtract the adjusted numbers. 4022=18

Solve the subtraction using compensation.
HintsWe 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 = ?
Solution1.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?
HintsConsider 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.
Solution25  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
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