To put the numbers −32, 0.5, 9–√, and −2 in order on the number line, we first need to evaluate and compare the given numbers.
- −32: This is already a simple negative number.
- 0.5: This is a positive number.
- 9–√: This represents 9 minus the square root of 9, which equals 9 - 3 = 6.
- −2: This is another negative number.
Now, let's order these numbers from the smallest to the largest:
- −32
- −2
- 6 (from 9–√)
- 0.5
Putting them in order based on their letters:
A: −32
B: −2
C: 6 (9–√)
D: 0.5
So the ordered numbers on the number line are:
A: −32
B: −2
C: 6 (9–√)
D: 0.5