Question

which shows the numbers on the number line in order from greatest to least? -3 1/4 -1.5 1/2 1 5/6 2.25 -4 -2 0 2 4 a 2.25, 1 5/6, 1/2, -1.5, -3 1/4 b -3 1/4, 2.25, 1 5/6, -1.5, 1/2 c -3 1/4, -1.5, 1/2, 1 5/6, 2.25 d 2.25, -1.5, -3 1/4, 1 5/6, 1/2

Explanation:

Step1: Recall Number Line Order

On a number line, numbers to the right are greater. Positive numbers are greater than negative numbers. For positive numbers, larger values are rightmost. For negative numbers, the closer to zero (or the right on the negative side) the greater.

Step2: Analyze Each Number

• Positive numbers: \(2.25\), \(1\frac{5}{6}\) (≈1.833), \(\frac{1}{2}=0.5\). Order from greatest to least: \(2.25 > 1\frac{5}{6} > \frac{1}{2}\).
• Negative numbers: \(-1.5\), \(-3\frac{1}{4}=-3.25\). Order from greatest (closer to 0) to least: \(-1.5 > -3\frac{1}{4}\).
• Combine: Positive numbers are greater than negative numbers. So overall order from greatest to least: \(2.25, 1\frac{5}{6}, \frac{1}{2}, -1.5, -3\frac{1}{4}\).

Step3: Match with Options

Option A matches this order.

Answer:

A. \(2.25, 1\frac{5}{6}, \frac{1}{2}, - 1.5, - 3\frac{1}{4}\)