Question

Using identities. Evaluate

1.05X9.5

Answer 1

1.05×9.5

1.05 × 0.95 × 10

(1 + 0.05)× (1− 0.05) × 10
Using this formula
{(x+y) * (x-y) } =[x²-y²]
We can write,
[(1)² − (0.05)²] × 10
(0.05)²=0.0025, 1²=1
[1 − 0.0025] × 10

0.9975 × 10

9.975 is the answer.