Evaluate: {(0.96)\times(0.96)\times(0.96)-(0.1) (0.1) (0.1)}/ {(0.96)\times(0.96)+0.0096+(0.1)\times(0.1)}

Decimals and Fractions Practice Test 4

Question : 8 of 40

Marks: +1, -0

Evaluate:

{(0.96)×(0.96)×(0.96)-(0.1) (0.1) (0.1)}/ {(0.96)×(0.96)+0.0096+(0.1)×(0.1)}

Solution:

{(0.96)×(0.96)×(0.96)-(0.1) (0.1) (0.1)}/ {(0.96)×(0.96)+0.0096+(0.1)×(0.1)}

={(0.96)^3-(0.1)^3}/{(0.96)^2+(0.96)×(0.1)+(0.1)^2 }

={(0.96-0.1)[(0.96)^2+(0.96)×(0.1)+(0.1)^2]}/[{(0.96)^2+(0.96)×(0.1)+(0.1)^2}]

= 0.96- 0.1 =0.86

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