Chapter 3.2, Problem 40PPS

To determine

To identify: The correct symbol for making thestatement true.

Answer to Problem 40PPS

  $-1\frac{1}{11}<-0.9$

Explanation of Solution

Given information:

The values given are as follows:

  $-1\frac{1}{11}=\frac{-12}{11}$

  $-0.9=-\frac{9}{10}$

Calculation:

To compare the given values first it is needed to make the denominators same by taking the LCM between the two denominators (which is 110).

  $-1\frac{1}{11}$

  $=-\frac{12\times 10}{11\times 10}=\frac{-120}{110}$

  $-0.9=\frac{-9\times 11}{10\times 11}=\frac{-99}{110}$

Here, $\frac{-120}{110}<\frac{-99}{110}$

∴$-1\frac{1}{11}<-0.9$