1
Question
Using identities, evaluate:
1.05 * 9.5
1.05 * 9.5
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Solution
(1.05) (9.5)
using identity (x+a) (x+b) =x^2 +x(a+b) +ab
(1+0.05) (1+8.5) =1^2+ 1(0.05+8.5) +(0.05)(8.5)
=1 +8.55+0.425
=9.975
using identity (x+a) (x+b) =x^2 +x(a+b) +ab
(1+0.05) (1+8.5) =1^2+ 1(0.05+8.5) +(0.05)(8.5)
=1 +8.55+0.425
=9.975
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