Of the set [ -5,5,-3,8], which two numbers have the same absolute value? Explain.

To determine which two numbers in the set [ -5,5,-3,8] have the same absolute value, we need to find the numbers with equal distance from zero.

The absolute value of a number is the distance of that number from zero on the number line. It is always positive, regardless of whether the original number is positive or negative.

So, let's calculate the absolute values of each number in the set:

- Absolute value of -5: |-5| = 5
- Absolute value of 5: |5| = 5
- Absolute value of -3: |-3| = 3
- Absolute value of 8: |8| = 8

Now, comparing the absolute values, we see that the numbers -5 and 5 have the same absolute value of 5.

Therefore, in the set [ -5,5,-3,8], the numbers -5 and 5 have the same absolute value.

To determine which two numbers in the set [-5, 5, -3, 8] have the same absolute value, we need to calculate the absolute value of each number and compare them.

Absolute value refers to the distance of a number from zero on the number line, regardless of its sign. The absolute value of a number is always nonnegative.

Let's calculate the absolute value of each number in the set:

Absolute value of -5: |-5| = 5
Absolute value of 5: |5| = 5
Absolute value of -3: |-3| = 3
Absolute value of 8: |8| = 8

From the calculations, we can see that both -5 and 5 have the same absolute value of 5. Therefore, the two numbers in the set that have the same absolute value are -5 and 5.