Show Your Working: Regrouping Subtraction
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Show Your Working: Subtraction with Regrouping
Learn and practise
WALT: We are learning to subtract a one-digit number from a two-digit number by regrouping a ten, and show our working.
Regrouping means renaming one ten as 10 ones.
Worked example: 42 − 7
42 has 4 tens and 2 ones. We cannot take 7 ones from 2 ones, so rename 1 ten as 10 ones. Now there are 3 tens and 12 ones.
12 − 7 = 5 ones, and 3 tens remain. Therefore, 42 − 7 = 35.
Regrouping record: 4 tens 2 ones → 3 tens 12 ones
Answer: 3 tens 5 ones = 35
Show your working for every question. You may use crossing out and renaming.
Apply your thinking
Self-check using the inverse
Add your answer to the number you subtracted. Does it equal the starting number?
For example: answer + 7 = 42
Support and extension
Support: Read each question aloud, use a place-value chart, build the number with tens and ones, and say “rename one ten as 10 ones”. Work with a partner if helpful.
Extension: Write a different subtraction problem that needs regrouping. Solve it using a place-value drawing and a number-line method. Check it with the inverse.
Dyslexia-friendly option: Read one question at a time, cover unused questions, use a ruler to track each line, and explain your working aloud before writing.
Teacher answer key
1. 42 − 7 = 35
2. 51 − 6 = 45
3. 63 − 8 = 55
4. 70 − 4 = 66
5. 84 − 9 = 75
6. 92 − 7 = 85
7. 36 − 8 = 28
8. 75 − 9 = 66
9. 43 − 6 = 37 stickers
10. 62 − 8 = 54 passengers
11. 81 − 7 = 74 books
12. 54 − 8 = 46. Accept any correct second method and explanation.
Self-check: The answer plus the number subtracted should equal the starting number.
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