Question

1. use this number line to show the numbers $\frac{1}{4}$, $\frac{2}{4}$, $\frac{3}{4}$ and $\frac{4}{4}$.

Explanation:

Step1: Understand the Number Line

The number line has 0 on the right and extends to the left. We need to represent \(\frac{1}{4}\), \(\frac{2}{4}\), \(\frac{3}{4}\), and \(\frac{4}{4}\) (which is 1). First, note that the interval from 0 to 1 (or 0 to \(\frac{4}{4}\)) is divided into 4 equal parts since the denominators are 4. Each part represents \(\frac{1}{4}\).

Step2: Locate \(\frac{1}{4}\)

Starting from 0, move 1 unit (where each unit is \(\frac{1}{4}\)) to the left. This point represents \(\frac{1}{4}\).

Step3: Locate \(\frac{2}{4}\)

From 0, move 2 units to the left. Each unit is \(\frac{1}{4}\), so 2 units is \(\frac{2}{4}\).

Step4: Locate \(\frac{3}{4}\)

From 0, move 3 units to the left. 3 times \(\frac{1}{4}\) is \(\frac{3}{4}\).

Step5: Locate \(\frac{4}{4}\)

From 0, move 4 units to the left. 4 times \(\frac{1}{4}\) is \(\frac{4}{4}=1\), so this point is at 1 on the number line.

Answer:

To show \(\frac{1}{4}\), \(\frac{2}{4}\), \(\frac{3}{4}\), and \(\frac{4}{4}\) on the number line (with 0 on the right and extending left):

• \(\frac{1}{4}\): 1 unit left of 0 (each unit = \(\frac{1}{4}\)).
• \(\frac{2}{4}\): 2 units left of 0.
• \(\frac{3}{4}\): 3 units left of 0.
• \(\frac{4}{4}\) (or 1): 4 units left of 0 (at the position labeled "1" on the line).

Visually, mark these points on the number line where each segment between 0 and 1 (leftward) is divided into 4 equal parts.