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Checking subtraction using addition is an easy way to verify whether a subtraction answer is correct. Since addition and subtraction are inverse operations, we can add the difference to the subtrahend. If the sum equals the minuend, the subtraction is correct. Learn the method with step-by-step examples, practice questions, and printable worksheets.
We can check subtraction by adding the difference to the smaller number. Let us see how.
Checking subtraction using addition means adding the difference to the subtrahend. If the sum equals the minuend, the subtraction answer is correct. This method works because addition and subtraction are inverse operations.
Formula:
a − b = c ⟺ c + b = a
Examples of Checking Subtraction Using Addition:
Since the sum of difference and smaller number is equal to the larger number, subtraction is correct.
This method also works with sums that need regrouping.
Checking Subtraction by Addition Video
More examples on Check subtraction using addition:
Find the difference and check your answers using addition:
1. 82 – 48
Solution:
Let’s try to subtract 48 from 82.
Therefore, the difference is 34.
Now check the subtraction is correct or not.
So, we add difference (34) and subtrahend (48). If the sum is equal to the minuend (82) then the the subtraction is correct.
Therefore, the sum (82) is equal to the minuend (82).
Thus, we can say that the subtraction is correct!
2. Subtract 24 from 59.
Solution:
Since the sum of difference (35) and smaller number (24) is equal to the larger number (59), subtraction is correct.
To check subtraction, add the difference of two numbers to the subtrahend to get the minuend.
3. Subtract 3189 from 7325, and check the answer by addition.
Solution:
The difference between 7325 and 3189 is 4136. If we add this difference to 3189, we get 7325. So, our subtraction is correct.
Worksheet on Checking Subtraction using Addition
1. Questions and Answers on Checking Subtraction using Addition:
(i) 74 – 59
(ii) 60 – 25
(iii) 32 – 19
(iv) 91 – 20
(v) 81- 38
(vi) 64 – 27
(vii) 72 – 38
(viii) 96 – 84
(ix) 45 – 31
(x) 81 – 56
Answer:
1. (i) 15
(ii) 35
(iii) 13
(iv) 71
(v) 43
(vi) 37
(vii) 34
(viii) 12
(ix) 14
(x) 25
2. Subtract each of the following and check the answers by addition:
Answer:
2.
FAQs on Checking Subtraction by Addition:
Answer:
Checking subtraction using addition means adding the difference and the subtrahend. If the sum equals the minuend, the subtraction is correct.
Answer:
Addition and subtraction are inverse operations. One operation can be used to verify the other.
Answer:
Add 34 and 48. Since 34 + 48 = 82, the subtraction is correct.
Answer:
Yes. The same method works for subtraction with regrouping and without regrouping.
Related Math Lessons:
About Author
Written by Priyanka Ghosh
Mathematics Educator | Founder of Math Only Math
Priyanka Ghosh has been teaching elementary and middle-school mathematics for over 12 years and specializes in creating simple, child-friendly math lessons and worksheets.
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