Question

Plotting Decimals on a Number Line
Plot three-tenths and sixty-five hundredths on the number line.
Plot sixty-five hundredths on the number line.

Answer 1

To plot the decimals \( \frac{3}{10} \) (which is 0.3) and \( \frac{65}{100} \) (which is 0.65) on a number line, follow these steps:

1. **Create the Number Line**: Draw a horizontal line and label it. Make sure to mark intervals to show the decimals clearly.

2. **Mark the Whole Numbers**: Since both decimals are between 0 and 1, label the endpoints 0 and 1 on the number line.

3. **Divide Between 0 and 1**:
- For 0.3 (three-tenths), divide the section between 0 and 1 into 10 equal parts. Each part will represent 0.1.
- Count three segments from 0. The point at the third segment represents 0.3.

4. **Mark 0.65 (Sixty-Five Hundredths)**:
- Next, for 0.65, you can still use the same division where 0.1 is the length of each segment.
- Each segment between 0 and 1 equals 0.1, so:
- Count six segments from 0 to reach 0.6.
- Then divide the next segment (between 0.6 and 0.7) into 10 parts and count 5 parts to reach 0.65.

5. **Final Plotting**:
- Mark a point at 0.3 (three-tenths).
- Mark another point at 0.65 (sixty-five hundredths).

Your number line will thus have clear points marked at both 0.3 and 0.65.