Calculate these products quickly without using direct multiplication.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the questions.

Q1. Calculate these products quickly without using direct multiplication.

Break down 12 into $4 \times 3$ .
$$ 25 \times 12 = 25 \times (4 \times 3) $$
Group $25 \times 4$ to get 100.
$$ = (25 \times 4) \times 3 $$ $$ = 100 \times 3 = \boxed{300} $$
- b) $25 \times 240$
Break down 240 into $24 \times 10$ , then $4 \times 6 \times 10$ .
$$ 25 \times 240 = 25 \times (4 \times 6 \times 10) $$

$$
= (25 \times 4) \times 6 \times 10
$$
$$
= 100 \times 6 \times 10
$$
$$
= 600 \times 10 = \boxed{6000}
$$

Break down 250 into $25 \times 10$ and 120 into $12 \times 10$ .
$$ 250 \times 120 = (25 \times 10) \times (12 \times 10) $$
Rearrange and use the result from Q1a ( $25 \times 12 = 300$ ).
$$ = (25 \times 12) \times (10 \times 10) $$ $$ = 300 \times 100 = \boxed{30000} $$
- **d) $2500 \times

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