Question

Evaluate 8.2*8.7 by using suitable identity

Answer 1

Given problem is 8.2*8.7

We know that integer and decimal part can be separated from a decimal number like 2.3 can be written as 2+0.3

same way we can rewrite given problem as

(8+0.2)*(8+0.7)

Now we can apply distributive property which says a(b+c)=ab+ac

=(8+0.2)*(8)+ (8+0.2)*(0.7)

=(8)*(8+0.2)+ (0.7)*(8+0.2) (using commutative property)

=(8)*(8)+(8)*(0.2)+ (0.7)*(8)+(0.7)*(0.2) (using distributive property)

=64+1.6+ 5.6+0.14

=64+7.2+0.14

=64+7.34

=71.34

Hence final answer is 71.34.

Answer 2

Answer:

71.34

Step-by-step explanation:

is the answer

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