Without actually subtracting, show that 83 - 38 is divisible by 9. [3 MARKS]

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Solution

Concept: 1 Mark
Application: 2 Marks

$83 - 38 = 8 \times 10 + 3 - 3 \times 10 - 8.$

$= 5 \times 10 - 5$

$= 5 (10 - 1)$

$= 5 (9)$

Hence 83 – 38 is divisible by 9.

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