Question

Fill in the blanks using -8_ -4 -3 _ 5 0_ -4

Answer 1

Hello there. To solve this question, we'll have to remember some properties about inequalities and absolute value of numbers.

Given the following numbers:

`\begin{gathered} -8\text{ \_\_\_ }-4 \\ -3\text{ \_\_\_ }5 \\ 0\text{ \_\_\_ }-4 \end{gathered}`

We want to fill the gaps using the correct inequality sign.

First, we look to the signs of each number. The numbers with negative signs have to be taken in consideration with their absolute values.

The greater is the absolute value, the greater is the number. When it haves a negative sign in front, then it turns into the smallest.

This means that:

`-8<-4`

And you can understand this using a real line:

We'll use the same line to show the other inequalities hold:

Finally, the inequality:

This means that the final answer is:

`\begin{gathered} -8<-4 \\ -3<5 \\ 0>-4 \end{gathered}`

And it is contained in the first option.