A number line shows the following numbers: −32

Question

, 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:

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