Updated By SaraNextGen

On March 11, 2024, 11:35 AM

Question 1:

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

Answer:

Yes. Zero is a rational number as it can be represented as etc.

Question 2:

Find six rational numbers between 3 and 4.

Answer:

There are infinite rational numbers in between 3 and 4.

3 and 4 can be represented as respectively.

Therefore, rational numbers between 3 and 4 are

Question 3:

Find five rational numbers between .

Answer:

There are infinite rational numbers between .

Therefore, rational numbers between are

Question 4:

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.

Answer:

(i) True; since the collection of whole numbers contains all natural numbers.

(ii) False; as integers may be negative but whole numbers are positive. For example: −3 is an integer but not a whole number.

(iii) False; as rational numbers may be fractional but whole numbers may not be. For example:   is a rational number but not a whole number.