plot 25/3 and 42/3 on the number line 5 and 15 on the end

Answer 1

To plot \(\frac{25}{3}\) and \(\frac{42}{3}\) on a number line that ranges from 5 to 15, we first need to convert the fractional values into decimal or mixed number form.

1. Convert the fractions to decimal:

   • \(\frac{25}{3} = 8.3333...\) (approximately 8.33)
   • \(\frac{42}{3} = 14\)

2. Number Line Setup: We will set up a number line with values from 5 to 15.

3. Plotting:

   • Start from 5 and divide the section between 5 and 15 into equal parts. This can be done by marking increments, for example, each increment could be 1 unit (5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15).
   • Locate \(\frac{25}{3}\) (or approximately 8.33) between 8 and 9 on the number line.
   • Locate \(\frac{42}{3}\) (which is exactly 14) between 13 and 15 on the number line.

Visualization:

• Although I can't draw physically here, I can illustrate how it would look in text form:

5  ---  6  ---  7  ---  8  ---  9  --- 10 --- 11 --- 12 --- 13 --- 14 --- 15
                           |                              |
                       25/3 (≈ 8.33)                 42/3 (14)

This way, you can visualize the positions of \(\frac{25}{3}\) and \(\frac{42}{3}\) on a number line ranging from 5 to 15.