Question

Billy plotted -3/4 and - 1/4 on a number line to determine that -3/4 is smaller than - 1/4

Is he correct? Explain why or why not.​

Answer 1

Sample Response: Yes, Billy is correct. The fractions are placed on the correct tick marks. The smaller fraction is located to the left of the larger fraction.

Explanation:

hope this helped

Answer 2

Billy is totally right. Please read the explanation below.

Explanation:

1. Let's help Billy to determine if he's correct or not.

Given these two negative numbers, the one who will be at the left is the lowest and the one who is on the right is the highest.

As Billy already did, he found that:

-3/4 < -1/4 or -1/4 > -3/4

In this particular case, -1/4 is closer to point zero because its equivalent in decimal number - 0.25, is higher than - 0.75, the decimal number equivalent to -3/4. When we compare two negative numbers, the one that is close to zero on a number line is the highest and the one that is more distant to zero is the lowest. Note that when we compare two positive numbers, this reasoning changes totally, the lowest will be the one close to zero on the number line and the highest the one distant from zero.

Billy is totally right.