Question

A number line shows the following numbers:%C2%A0−32 , 0.5,%C2%A09–√ ,%C2%A0−2 .%C2%A0Put them in the correct order on the number line.(2 points)

Answer 1

To place the numbers \(-32\), \(0.5\), \(9 - \sqrt{9}\), and \(-2\) in the correct order on a number line, we first need to evaluate \(9 - \sqrt{9}\).

1. Calculate \( \sqrt{9} = 3 \).
2. Therefore, \( 9 - \sqrt{9} = 9 - 3 = 6 \).

Now, we have the numbers:
- \(-32\)
- \(0.5\)
- \(6\)
- \(-2\)

Now we can order these numbers from smallest to largest:

1. \(-32\)
2. \(-2\)
3. \(0.5\)
4. \(6\)

So, the correct order on the number line is:
\(-32\), \(-2\), \(0.5\), \(6\).