Question

Evaluate the following products without actual multiplication.
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Answer 1

Answer:

$(i) \: \: \: \: 101 \times 99 \\ (100 + 1)(100 - 1) \\ (x + y)(x - y) \\ = {x}^{2} - {y}^{2} \\ = {100}^{2} - {1}^{2} \\ = 10000 - 1 \\ = 9999$

Answer 2

Step-by-step explanation:

(I) 101×99

=(100+1)(100-1)

=(a²-b²)=(a+b)(a-b)

=100²-1²

10000-1

9999

(ii)999×999

=999²

=(1000-1)²

=1000000+1-2000

10000001-2000

=998001

(iii) 50(1/2)×49(1/2)

=(1/2)(50×49)

1/2×2450

=1225