Joe and tim observed two points, p, and q, on a number line.
joe said that the absolute values of the numbers represented by the two points are different.

tim said that the absolute values of the numbers represented by the two points are the same.

which of the following explains who is correct? how did you get your answer?

joe, because the points have different signs
tim, because each point is fraction 3 over 8 unit away from 0
tim, because the distance between the points is fraction 3 over 8 unit
joe, because the points are at different locations

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.