Question

Evaluate the following products without multiplying directly
1. 102×105
2. 203×204
3. 195×189​

Answer 1

Answer:

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Answer 2

Answer:

1. 102×105

= (100+2)(100+5)

${100}^{2} + (2 + 5)100 + 2 \times5$

=10000+700+10

=10710

2. 203×204

= (200+3)(200+4)

= 200 (4+3)

${200}^{2} + (4 + 3)200 + 4 \times 3$

=40000+1400+12

= 41412

3. 195×189

=(200-5)(200-11)

${200}^{2} + ( - 5 - 11)200 + ( - 5\times - 11)$

= 40000-3200+55

= 36855

I HOPE IT WILL HELP YOU DEAR. ..