Which of the following expressions has a value equal to 1? Option one is 0.011 squared divided by the product of 1.1 squared and 0.01 squared. Option two is 0.11 squared divided by the product of 1.1 squared and 0.1. Option three is 1.1 squared divided by the product of 11 squared and 0.01 squared. Option four is 1.1 squared divided by the product of 11 squared and 0.01.
A0.011 squared over (1.1 squared times 0.01 squared) ✓ Correct
B0.11 squared over (1.1 squared times 0.1)
C1.1 squared over (11 squared times 0.01 squared)
D1.1 squared over (11 squared times 0.01)
Correct answer: (A) 0.011 squared over (1.1 squared times 0.01 squared)
Explanation
The value 1 comes from 0.011^2 / (1.1^2 x 0.01^2).
Numerator: 0.011^2 = 0.000121.
Denominator: 1.1^2 x 0.01^2 = 1.21 x 0.0001 = 0.000121.
0.000121 / 0.000121 = 1.
Since 0.011 = 1.1 x 0.01, the numerator equals the denominator.
Method: factor the decimals to see the ratio is 1.
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