Chapter 4.2, Problem 46IP

To determine

To complete the table shown in the given information.

Explanation of Solution

Given information: Sample table.

1. The table is given as:

Power	Fraction	Decimal
${10}^{-1}$	$\frac{1}{10}$	0.1
${10}^{-2}$	$\frac{1}{100}$	0.01
${10}^{-3}$	$\frac{1}{1000}$	0.001
${10}^{-4}$	$\frac{1}{10000}$	0.0001
${10}^{-5}$	$\frac{1}{100000}$	0.00001

Pattern is noticed in fraction part and decimal part is that they are in geometric progression with common ration as $\frac{1}{10}$

The rule for the negative power is ${10}^{-n}=\frac{1}{{10}^n}$

The value of ${10}^{-12}=\frac{1}{{10}^{12}}$