Question

Jeremy drew a number line to display five rational numbers. which number is not displayed on the number line? a number line from negative 2 to 2 divided into fourths. from left to right, points are plotted at: one mark to the left of negative 1, three marks to the left of zero, one mark to the right of 0, 2 marks to the right of 1, and on the 2.

Option 1: -1
Option 2: 14
Option 3: -3/4
Option 4: -1/4

Answer 1

The number not displayed on Jeremy's number line is -1. The other points correspond to -5/4 (-1¼), -3/4, 1/4, 3/2 (1½), and 2, which are all represented leaving -1 not plotted on the line.

Step-by-step explanation:

Jeremy is attempting to identify which number is not displayed on a number line that contains five rational numbers. The number line is divided into fourths, ranging from -2 to 2, and points are plotted at specific locations. By examining the descriptions of the points and comparing them with the options provided:

• One mark to the left of -1 corresponds to -1¼ or -5/4.
• Three marks to the left of 0 corresponds to -3/4.
• One mark to the right of 0 corresponds to 1/4.
• Two marks to the right of 1 corresponds to 1½ or 3/2.
• The point on 2 is simply 2.

Given these points, we can identify which of the provided options is not represented on the number line:

• Option 1: -1 (Not on the number line; the point to the left of -1 is -1¼)
• Option 2: 1/4 (Already on the number line).
• Option 3: -3/4 (Already on the number line).
• Option 4: -1/4 (Already on the number line).

Therefore, the number that is not displayed on Jeremy's number line is -1.