Q13. - Algebra 1

Question

Replace each with <, > or = to make a true sentence.

$-0.62,-\frac{6}{7}$

Step-by-Step Solution

Answer

The true statement is $-\text{0.62>}-\frac{6}{7}$.

Step 1. Convert each fraction into a decimal number.

$\begin{array}{l}=-\frac{6}{7}\\ =-0.86\end{array}$

Step 2. Concept of negative integers.

The larger value of the negative integer is small as compared to the smaller value of the negative integer.

For example if $x>y$ then $-x<-y$

Step 3. Make the true sentence.

$\begin{array}{l}\text{Since, 0.62<0.86}\\ \text{Thus}\\ -\text{0.62>}-\text{0.86}\end{array}$

Therefore, the true statement is

$-\text{0.62>}-\frac{6}{7}$