Chapter 3.2, Problem 37PPS

To determine

To identify:The correct symbol for the given statement.

Answer to Problem 37PPS

  $-0.23>-0.3$

Explanation of Solution

Given information:

The given values are as follows:

  $-0.23=\frac{-23}{100}$

  $-0.3=-\frac{3}{10}$

Calculation:

To compare the given values first it is required to make the denominators same by taking the LCM between the two denominators.

  $-0.23=\frac{-23}{100}$

  $-0.3=-\frac{3\times 10}{10\times 10}=\frac{-30}{100}$

In the number line −30 lies left of −23, which means that −23 is greater than−30

i.e. $\frac{-30}{100}<\frac{-23}{100}$

$-0.23>-0.3$