Question

Without using a calculator, decide which would give a significantly smaller value than 2.71 x 10^-2, which would give a significantly larger value, or which would give essentially the same value.
A. 2.71 x 10^-2 + 1.00 x 10^-6
B. 2.71 x 10^-2 - 1.00 x 10^-6
C 2.71 x 10^-2 x 1.00 x 10^-6
D. 2.71 x 10^-2 / 1.00 x 10^-6

Answer 1

Using the laws of indices, the 2.71 x 10^-2 x 1.00 x 10^-6 would give a significantly smaller value while 2.71 x 10^-2 / 1.00 x 10^-6 will give a significantly larger value.

The laws of indices can be used to solve problems that involves a base and an index.

In this case; if we apply the multiplication law;

$2.71 x 10^-2 x 1.00 x 10^-6 = 2.71 x 10^-8$

This result is significantly smaller than $2.71 x 10^-2$

Using the division law;

$2.71 x 10^-2 / 1.00 x 10^-6 = 2.71 x 10^4$

This result is significantly larger than $2.71 x 10^-2$.

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