A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number.

Question

Is −1
4
< −3
4
? Use the number line to explain your answer.

No, because Negative one-fourth is to the left of Negative three-fourths
No, because Negative one-fourth is to the right of Negative three-fourths
Yes, because Negative one-fourth is to the left of Negative three-fourths
Yes, becauseNegative one-fourth is to the right of

Answer 1

To determine whether \(-\frac{1}{4} < -\frac{3}{4}\), we can use the number line.

1. Understanding the Positions on the Number Line:

   • The number line extends from \(-1\) to \(1\) with increments that create 4 equal spaces between each whole number.
   • The points on the number line are divided like this:
     • \(-1\) is at the farthest left, and \(-\frac{3}{4}\) would be three-quarters of the way from \(-1\) to \(0\).
     • \(-\frac{1}{4}\) is one-quarter of the way from \(-1\) to \(0\) (or one-quarter to the right of \(-1\)).

2. Comparing the Two Numbers:

   • \(-\frac{3}{4}\) is located to the left of \(-\frac{1}{4}\) on the number line. This means that \(-\frac{3}{4}\) is less than \(-\frac{1}{4}\).

3. Conclusion:

   • Since \(-\frac{1}{4}\) is to the right of \(-\frac{3}{4}\), the correct answer is “No, because \(-\frac{1}{4}\) is to the right of \(-\frac{3}{4}\).” So:

No, because \(-\frac{1}{4}\) is to the right of \(-\frac{3}{4}\).