Which points are plotted correctly on their accompanying number line? Check all that apply.

Question

Point: Negative StartFraction 7 Over 8 EndFractionA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 1 mark to the right of negative 1.
Point: Negative one-halfA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is half-way between 0 and 1.
Point : Negative one-fourthA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 2 spaces to the right of negative 1.

Answer 1

To determine the correct plotting of each point on the number line, let’s analyze each of them one by one, based on their values and descriptions.

1. Point: -7/8

   • -7/8 is between -1 and 0. Specifically, -1 is -8/8, and -7/8 is one mark to the right of -1. The description states it is "1 mark to the right of negative 1," which would actually be -6/8 or -3/4, not -7/8. Thus, this point is not correct.

2. Point: -1/2

   • -1/2 is exactly halfway between -1 and 0. The description states that it is "half-way between 0 and 1." This is not correct; it should be halfway between -1 and 0. Therefore, this point is also not correct.

3. Point: -1/4

   • -1/4 is between 0 and -1. It’s also two spaces to the right of -1 (which is -4/4). The description states this point is "2 spaces to the right of negative 1," which is also incorrect; it’s actually one space to the right of -1/2, and would be plotted between these points. Thus, this point is not correct.

Based on the analysis above, none of the points are plotted correctly on their accompanying number line as per their descriptions.