Q2 of 27 Page 5

Find six rational numbers between 3 and 4

There are infinite rational numbers in between 3 and 4.

So, we can represent 3 and 4 in terms of like fractions as an example:

(Multiplying & dividing by 8)

$3 = \frac{3 \times 8}{8} = \frac{24}{8}$

$4 = \frac{4 \times 8}{8} = \frac{32}{8}$

NOTE: We can multiply & divide by other numbers as well.

Now, we can write the six rational numbers between 3 and 4 as:

$\frac{25}{8}, \frac{26}{8}, \frac{27}{8}, \frac{28}{8}, \frac{29}{8}, \frac{30}{8}$

Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0 ?

Find five rational numbers between 3/5 and 4/5

State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

State whether the following statements are true or false. Justify your answers.

(i) Every irrational number is a real number.

(ii) Every point on the number line is of the form where m is a natural number

(iii) Every real number is an irrational number.

Questions · 27

1. Number System

1 2 3 4 1 2 3 4 1 2 3 4 5 6 7 8 9 1 2 1 2 3 4 5 1 2 3