Question

A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number.Is −1/4<-3/4? Use the number line to explain your answer.

A. No, because Negative one-fourth is to the left of Negative three-fourths
B. No, because Negative one-fourth is to the right of Negative three-fourths
C.Yes, because Negative one-fourth is to the left of Negative three-fourths
D.Yes, becauseNegative one-fourth is to the right of Negative three-fourths

Answer 1

The correct answer is D, as negative one-fourth is positioned to the right of negative three-fourths on the number line, making it the larger number.

Step-by-step explanation:

The question asks to use a number line to determine the relationship between −1/4 and −3/4. Since −3/4 is to the left of −1/4, it is the smaller number. Therefore, the correct answer is: D. Yes, because Negative one-fourth is to the right of Negative three-fourths.

Using the number line, we see four equal segments between -1 and 0 and between 0 and 1. So, each segment represents 1/4. Checking the position of both numbers: −3/4 would be positioned three segments to the right of -1, whereas −1/4 would be just one segment to the right of -1. This puts −3/4 further to the left compared to −1/4, making −1/4 the larger number.