Question

A number line shows the following numbers: −32
, 0.5, 9–√
, −2
. Put them in the correct order on the number line.(2 points)

Answer 1

To arrange the numbers \(-32\), \(0.5\), \(9 - \sqrt{9}\), and \(-2\) on a number line, we first need to calculate \(9 - \sqrt{9}\).

We know that:

\[
\sqrt{9} = 3
\]

So,

\[
9 - \sqrt{9} = 9 - 3 = 6
\]

Now we have the following numbers to arrange:

- \(-32\)
- \(-2\)
- \(0.5\)
- \(6\)

Next, we can sort these numbers in increasing order:

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

Thus, the numbers in order from least to greatest on the number line are:

\[
-32, -2, 0.5, 6
\]