Question

Put the numbers on the number line and use the number line to order the numbers from smallest to largest:

(6 points)

|5|

equiv - 3 ^ 2

= |- 4| |

= - 3

equiv 2 ^ 3

sqrt(9)

Answer 1

To order the numbers from smallest to largest, we can plot them on the number line and compare their positions.

The given numbers are:
5
-3^2
|-4|
-3
2^3
√9

First, let's simplify each expression:
-3^2 = -3 * -3 = 9
|-4| = 4
2^3 = 2 * 2 * 2 = 8
√9 = √(3 * 3) = 3

Now we can plot them on the number line:
-4 -3 2 3 4 5 6 7 8 9

From smallest to largest:
|-4| = 4
-3^2 = 9
-3
2^3 = 8
√9 = 3
5

The ordered numbers from smallest to largest are:

4, 9, -3, 8, 3, 5