Answer:

PLEASE MARK AS BRAINLIEST

Explanation:

**(a)**

- Mark \( \frac{5}{6} \) between 0 and 1.

- Mark \( \frac{83}{16} \) past 5 towards 6.

- Mark \( \frac{-5}{4} \) between -1 and 0.

- Mark \( \frac{-13}{3} \) between -4 and -5.

- Mark \( \frac{35}{8} \) past 4 towards 5.

**(b)**

- Mark \( \frac{3}{4} \) between 0 and 1.

- Mark \( \frac{15}{4} \) past 3 towards 4.

- Mark \( \frac{-35}{6} \) between -6 and -5.

- Mark \( \frac{-16}{3} \) between -5 and -6.

- Mark \( \frac{5}{2} \) past 2 towards 3.

This way, you'll have the rational numbers represented on a number line for both sets (a) and (b).

Verified answer

Answer:

To represent rational numbers on a number line, we can use the following steps:

1. Identify the position of zero on the number line.

2. Divide the space between consecutive integers into equal parts.

3. Place the point corresponding to the given rational number on the appropriate position on the number line.

**(a) Rational Numbers: 5/6, 83/16, -5/4, -13/3, 35/8**

Let's represent these numbers on a number line:

```plaintext

  -3        -2        -1         0          1         2          3

   |---------|---------|---------|---------|---------|---------|

                  -5/4          -13/3           5/6         35/8       83/16

```

**(b) Rational Numbers: 3/4, 15/4, -35/6, -16/3, 5/2**

Let's represent these numbers on a number line:

```plaintext

  -3        -2        -1         0          1         2          3

   |---------|---------|---------|---------|---------|---------|

                    -16/3           -35/6           3/4         15/4       5/2

```

These representations show the relative positions of the given rational numbers on the number line.

Explanation: