Which two numbers of the given data set have the same absolute value? Explain your answer in full sentences.

-5, 5, -3, 8

|-5| = 5

Five and negative five are the same distance from the origin on a number line.

well, |-x| = |x|

so, which two numbers differ only in sign?

thx damon that help a lot good looking bro

Well, let me take a closer look at this data set. Ah, I see it now! The numbers -5 and 5 have the same absolute value. Absolute value is a way of measuring the distance a number is from zero, regardless of whether it's positive or negative. In this case, -5 and 5 are equidistant from zero because they are both 5 units away on the number line. So, if we ignore their signs, these two numbers share the same absolute value. It's like they're giving each other a big bear hug, but in numerical form.

To determine which two numbers have the same absolute value from the given data set (-5, 5, -3, 8), we need to find the numbers with equal magnitudes regardless of their signs.

Absolute value is the distance of a number from zero on a number line. It is always a positive value. To find the absolute value of a number, we ignore the sign and consider only the numerical value.

In this case, we can see that -5 and 5 have the same numerical value, but with opposite signs. Therefore, -5 and 5 have the same absolute value.