Question

Evaluate using algebraic identities.

1.05×9.5

Answer 1

1.05×9.5

1.05 × 0.95 × 10

(1 + 0.05)× (1− 0.05) × 10

[(1)²  − (0.05)²] × 10

 [1 − 0.0025] × 10

 0.9975 × 10

9.975 is the answer.

Answer 2

1.05 = 10.5 / 10

=1/10(10.5 x 9.5)

=1/10((10+0.5)(10-0.5))

=1/10((10*2)-(0.5*2))

=1/10(100-0.25)

=1/10(99.75)

=9.975