#### Question

Using identities, evaluate 1.05 × 9.5

#### Solution

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 [(*a* + *b*) (*a* − *b*) = *a*^{2} − *b*^{2}]

= 0.9975 × 10 = 9.975

Is there an error in this question or solution?

Solution Using Identities, Evaluate 1.05 × 9.5 Concept: Applying Identities.