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Topic
Addition & Subtraction
Question
What is the counting-up (shopkeeper's) method for subtraction?
Answer
Instead of taking away, count forward from the smaller number to the larger and add the jumps.
To find 823 − 398, count up from 398 to 823:
- 398 → 400 is 2
- 400 → 823 is 423
- Total jumps: 2 + 423 = 425.
Check: 823 − 398 = 425. ✓ This is how shopkeepers make change. It shines when the two numbers are close, or when the subtrahend is just under a round number.
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Topic
Addition & Subtraction
Question
Practice: compute 15.03 − 9.98 mentally.
Answer
5.05 — balance to 15.05 − 10.00.
Add 0.02 to both numbers:
15.03 − 9.98 = 15.05 − 10.00 = 5.05.
This is the cleanest case for balancing: the number being subtracted is just under a round value.
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