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Year 2 Calculation - Addition to Check Subtraction
15 - 5 = 10, so 10 + 5 = 15!

Year 2 Calculation - Addition to Check Subtraction

Use addition to check subtraction. Reverse the calculation, add the answer and the part taken away, and see if you land back on the starting number.

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(quiz starts below)

Fascinating Fact:

Money mini-check: You spend 18p from 45p and say 27p left. Check 27p + 18p = 45p. Coins agree.

In KS1 Maths, Year 2 pupils use inverse operations to check work. After a subtraction, add the answer to the subtracted part. If you return to the start, the subtraction is correct.

  • Inverse: An opposite operation. Addition undoes subtraction, and subtraction undoes addition.
  • Check with addition: For a subtraction a − b = c, add back: c + b should equal a.
  • Number sentence: A maths statement using symbols, e.g. 27p + 18p = 45p.

Warm up first: try the Addition Game before you start the quiz.

How do I use addition to check a subtraction?

Do the inverse. If 45 − 18 = 27, then check 27 + 18 = 45. If it matches the starting number, your subtraction is correct.

What is the inverse of subtraction in Year 2?

The inverse of subtraction is addition. Adding the answer to the number you took away should return you to the original number.

How can I spot a mistake when checking?

Add the parts. If c + b does not equal the starting number a, recheck place value, counting steps, and any number bonds you used.

Question 1
Which calculation could you use to check that 23 - 6 = 17 is correct?
6 + 17
23 + 7
23 + 6 + 7
23 + 6 + 7
If adding the two smaller numbers does not give the larger number as their total, something has gone wrong!
Question 2
Check 84 - 21 = 73 with addition. Is this calculation correct?
Correct answer: 73 + 21 = 84
Incorrect answer: 73 + 21 = 94
Incorrect answer: 84 + 21 = 105
Incorrect answer: 84 + 73 = 157
The two smaller numbers do not add to give the larger number, so the original calculation is incorrect
Question 3
Which calculation proves this calculation is incorrect?
76 - 34 = 45
76 - 45 = 34
45 - 34 = 11
34 + 45 = 79
34 + 45 = 76
The two smaller numbers do not add to total the larger one
Question 4
Why is 33 - 20 = 13 true?
Because the sum of all three numbers gives the same answer
Because 13 subtracted from 20 is 33
Because the total of 13 and 33 is 20
Because 20 + 13 = 33
If you had 33 pennies and took 20 away (leaving 13), putting them all back again (13 + 20) would result in 33 pennies again
Question 5
Why is 48 - 20 = 54 incorrect?
Because 48 is more than 20
Because the numbers are all even
Because 20 + 54 = 74, not 48
Because the total of all three numbers is 122
The answer to a subtraction cannot be larger than the number at the beginning!
Question 6
Check 67 - 25 = 42 with addition. Is this calculation correct?
Incorrect answer: 25 + 67 = 92
Correct answer: 25 - 67 = 42
Incorrect answer: 67 + 42 = 109
Correct answer: 25 + 42 = 67
The two smaller numbers add to give 67
Question 7
Which calculation proves this calculation is incorrect?
62 - 19 = 55
55 + 19 = 62
55 + 19 = 74
62 + 19 = 55
62 + 55 = 19
The two smaller numbers do not add to total the larger one
Question 8
How could you check that 24 - 8 = 16?
By checking that 16 + 8 = 24
By checking the total of all three numbers
By finding the difference between 16 and 8
By finding the total of 24 and 8
Adding the two smaller numbers should give the larger one
Question 9
Which calculation shows that this subtraction is correct?
78 - 40 = 38
40 + 78 = 38
40 - 38 = 78
38 + 78 = 40
38 + 10 + 10 + 10 + 10 = 78
Adding 4 groups of 10 to 38 gives the starting number of 78
Question 10
Which calculation could you use to check that 18 - 7 = 11 is correct?
11 + 18
7 + 18
7 + 11
11 + 7 + 18
Adding the two smaller numbers should total the larger number
You can find more about this topic by visiting BBC Bitesize - Adding and subtracting

Author:  Angela Smith (Primary School Teacher & KS1 Quiz Writer)

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