Find out the larger product of each pair below, without actual multiplication.
25 × 75, 26 × 74

Question

Find out the larger product of each pair below, without actual multiplication.25 × 75, 26 × 74

Philoid · Accepted Answer

Using identity -

25 × 75 = (50-25)(50+25) = -

26 × 74 = (50- 24)(50+24)= -

clearly 26 × 74 is the larger product

since in this we are subtracting from whereas in 25 × 75 we are subtracting from .

example- (10-5) and (10-4)

(10-4) is larger since we are subtracting 4 from 10 whereas we are subtracting 5 from 10 in (10-5).