Subtraction Using Compensation
while having fun
Unlock this video in just a few steps, and benefit from all sofatutor content:
Basics on the topic Subtraction Using Compensation
The Compensation Strategy in Math
We're going to delve into a fascinating mathematical strategy known as the compensation strategy for subtraction. We will review the principles of this strategy in an interactive and engaging manner.
The compensation strategy helps you to move numbers around to make subtraction tasks easier to solve.
Subtraction Compensation – Method
Compensation is something given in return for something, in math we use this with numbers. It can be a helpful strategy because it makes numbers friendlier, or easier to subtract. When using compensation with subtraction you can decide which number to make friendlier, or easier to subtract, just remember to always;
When using this strategy for subtraction:
|Step #||What to do|
|1||choose which numbers to make friendlier, or subtract|
|2||create a new equation using the new numbers|
|3||solve the new equation using a tool that works for you|
|4||the solution to the new equation is also the solution to the original equation!|
Compensation Subtraction Strategy – Example
How can you use compensation with subtraction equations? Take a look at the compensation strategy subtraction activity below. Is there a way to solve this equation using compensation?
Remember to use compensation to make these numbers friendlier, or easier to add.
There are many different ways that you can use compensation with subtraction equations. In this problem, we used compensation to create the new equations thirty-five minus twenty. Thirty-five minus twenty equals fifteen, which means that thirty-three minus eighteen also equals fifteen!
Compensation Subtraction Strategy – Summary
Well done! You now know how to use compensation in subtraction or by using addition to subtract. Let’s recap the main steps when using compensation strategy in subtraction:
First: choose which numbers to make friendlier, or subtract
Then: create a new equation using the new numbers
Next: solve the new equation using a tool that works for you
Finally: the solution to the new equation is also the solution to the original equation!
Looking for extra practice? After this video check out our compensation strategy subtraction activities and subtraction compensation strategy worksheets.
Frequently Asked Questions on Compensation Math
The compensation strategy serves to simplify subtraction by adjusting numbers, rendering them more conducive to calculations.
Mathematical exploration often involves trial and error. Should an error occur, go back to the steps provided above and attempt solving the calculation again.
Transcript Subtraction Using Compensation
To make their board game come to life, Mr. Squeaks invented a machine to teleport himself and Imani into Land O'Sweets! They land on the island in Lilly's Lolly Lake and notice a sign! : "Like lollie's, life can be sweet, solve this problem for a very nice treat!" While Mr. Squeaks and Imani try to win the game, let's help them learn about "subtraction using compensation". One way to solve subtraction equations is called compensation. Compensation is something given in return for something, in math we use this with numbers. It can be a helpful strategy to add or subtract because it makes the numbers friendlier, or, easier to subtract. When subtracting using compensation... Start by adding or subtracting to make one of the numbers friendlier. Whatever you do on one side you must do to the other side as well. Mr. Squeaks and Imani need to solve twenty-four minus fifteen to get a sweet treat from Lilly! When using compensation, first choose which number to make friendlier. Here, we can take fifteen and add five (...) to make it twenty. Since we added five to fifteen, we MUST add five to twenty-four. What is twenty-four plus five? (...) twenty-nine! Next, create a new equation using the new numbers. Our new equation is twenty-nine minus twenty. Finally, solve the new equation using a tool or strategy that works for you. Here, we can count back by tens! What is twenty-nine minus twenty? (...) Nine! That means twenty-four minus fifteen ALSO equals nine. : "Look Imani, a boat! Our sweet treat is a ride to the next challenge!" Mr. Squeaks and Imani have made it to Minty's Mansion! But, in order to unlock the gate and go through they must solve another problem! Let's use subtraction with compensation to help them. They need to solve thirty-three minus eighteen. Remember, start by choosing which number to make friendlier. Here we can add two (...) to thirty-three to make it thirty-five. Since we added two (...) to thirty-three, we MUST add two to eighteen to make it twenty. Next, create a new equation using the new numbers. Our new equation is thirty-five minus twenty. Finally, solve by counting back by tens! What is thirty-five minus twenty? (...) fifteen! That means thirty-three minus eighteen ALSO equals fifteen. : "We did it! We got the gate opened!" : "What is that sign over there though? Secret passage... is it... a shortcut?" : "If a secret tunnel is what you need, solve this problem to find some speed." How can Mr. Squeaks and Imani use compensation to solve forty-eight minus twenty-two? (...) Start by adding or subtracting to make one of the numbers friendlier. Here we can add two (...) to forty-eight to make it fifty. Since we added two (...) to forty-eight we MUST add two to twenty-two to make it twenty-four! Next, create a new equation with the new numbers. Our new equation is fifty minus twenty-six. Finally, solve by counting back by fives! What is fifty minus twenty-four? (...) twenty-six! Before we see if Mr. Squeaks and Imani won the game, let's review! When using compensation in subtraction... First choose which number to make friendlier. Whatever you do to one number MUST be done to the other. Next, create a new equation using the new numbers. Finally, solve the new equation using a tool or strategy that works for you. Now, let's see if they won! : "We did it, Imani! Let's go home!" : "That was fun but I'm glad to be home!" Mr. Squeaks]: "It sure was SWEET!"
Subtraction Using Compensation exercise
Make the numbers friendlier.Hints
Numbers that end in 0, like 20, can be easier in subtraction equations.
What do you add to 16 to make 20?
What you do to one number you must also do to the other.
What number did you add to 16 to make it friendlier? Add the same number to 2.Solution
16 + 4 = 20. Numbers that end in 0, like 20, can be friendlier in subtraction equations.
- 16 is closer to 20 than 10, so add 4 to 16 to make 20.
- What you do to one number you must do to the other, so also add 4 to 2 to make 6.
- 20 - 6 = 14.
Sort the steps for subtracting with compensation.Hints
First, add or subtract from one number to make it friendlier.
Next, do the same to the other number in the equation.
Third, create a new equation with the new numbers and solve.
The solution for the new equation will be the same as the equation with the original numbers.Solution
- First, add 5 to 15 to make it friendlier.
- Next, do the same to 24.
- Create a new equation with the new numbers, 29 - 20
- Solve the new equation. The answer is the same for the first equation, 24- 15 = 9.
Determine which equations use compensation, and which do not.Hints
If something is added to one number in the equation, the same must be added to the other number.
If something is subtracted to one number in the equation, the same must be subtracted from the other number.
This is an example of compensation.Solution
When using compensation in subtration, what is done to one number must be done exactly the same to the other number in the equation. Addition and subtraction, or different numbers, may not be mixed.
Choose the correct numbers to complete the equations.Hints
Add or subtract to make one number friendlier. Friendlier numbers usually end in 0 or 5.
What you do to one number, you must do to the other.
Create a new equation using the new numbers, and solve.
The answer for the new equation is the same answer for the original equation.Solution
- 18 + 2 = 20
- 6 + 2 = 8
- 20 - 8 = 12
- 18 - 6 = 12
Choose the correct numbers to make the equation friendlier.Hints
For example, if 2 is added to 48 on the left, using compensation, what should be added to the 22 on the right?
For example, when you use compensation, never forget to add the same number to both numbers in the original equation.
Once you have added to both numbers in the equation and made it friendlier, don't forget to solve your new equation!Solution
35 - 13 = ?
- 35 + 5 = 40
- 13 + 5 = 18
- 40 - 18 = 22
Complete the blanks to solve the equations.Hints
Friendlier numbers usually end in 0 or 5, such as 5, 10, 15, or 20.
In compensation, whatever is done to one number in the equation, must be done exactly the same to the other.Solution
- 36 - 25 = ?
- 25 - 5 = 20
- 36 - 5 = 31
- 31 - 20 = 11
- 36 - 25 = 11
Subtract By Adding
Using Place Value to Subtract Two Digit Numbers (No Regrouping)
Subtraction Using Compensation
Missing Numbers in Subtraction—Let's Practice!
Subtract Using Addition — Let's Practice!
Make a Number Line to Subtract — Let's Practice!
Subtraction Using Compensation — Let's Practice!