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(0)
To order the numbers from smallest to largest using the number line, we can plot each number on the number line and arrange them accordingly:
-4 -3 -2 -1 0 1 2 3 4
Based on the given numbers:
|5| (absolute value of 5) is located at the point 5 on the number line.
-3 ^ 2 (negative 3 squared) is equal to -3 * -3 = 9. So, -3 ^ 2 is located at the point 9 on the number line.
| -4| (absolute value of -4) is also 4. So, |-4| is located at the point 4 on the number line.
-3 is located at the point -3 on the number line.
2 ^ 3 (2 cubed) is equal to 2 * 2 * 2 = 8. So, 2 ^ 3 is located at the point 8 on the number line.
Finally, sqrt(0) is equal to 0. So, sqrt(0) is located at the point 0 on the number line.
Now, arranging these numbers from smallest to largest, we get:
-4, -3, 0, 5, 8, 9