Question

on the real number line, label the points with coordinates: 0, 2, -2, \\(\frac{5}{2}\\), -2.5, \\(\frac{3}{4}\\), and 0.25. label the point with coordinate 0

Explanation:

Step1: Understand the Real Number Line

The real number line has 0 at the center, positive numbers to the right, negative to the left. Each tick mark represents a unit or fraction.

Step2: Convert Fractions/Decimals

• $\frac{5}{2} = 2.5$, $\frac{3}{4}=0.75$, $0.25=\frac{1}{4}$, $-2.5 = -\frac{5}{2}$, $-2$ is an integer.

Step3: Locate Each Point

• 0: At the origin (center tick marked 0).
• 2: 2 units right of 0.
• -2: 2 units left of 0.
• $\boldsymbol{\frac{5}{2}=2.5}$: Half - unit right of 2 (since $2.5 - 2 = 0.5$).
• $\boldsymbol{-2.5}$: Half - unit left of - 2 (since $-2.5-(-2)=-0.5$).
• $\boldsymbol{\frac{3}{4}=0.75}$: 3/4 of the way from 0 to 1 (0.75 is 3/4 of 1).
• $\boldsymbol{0.25=\frac{1}{4}}$: 1/4 of the way from 0 to 1 (0.25 is 1/4 of 1).

For labeling 0, we identify the tick mark labeled 0 on the given number line (the middle - most tick with 0 below it in the provided image) and confirm that's the position for 0.

Answer:

The point with coordinate 0 is the tick mark labeled "0" on the real number line (the middle - positioned tick with 0 beneath it in the displayed number line).