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:
-
Create the Number Line: Draw a horizontal line and label it. Make sure to mark intervals to show the decimals clearly.
-
Mark the Whole Numbers: Since both decimals are between 0 and 1, label the endpoints 0 and 1 on the number line.
-
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.
-
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.
-
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.
1 answer