Is zero a rational number? Can you write it in the form, where p and q are integers and q ≠ 0?
Yes. Zero is a rational number as it can be represented asetc.
Find six rational numbers between 3 and 4.
There are infinite rational numbers in between 3 and 4.
3 and 4 can be represented asrespectively.
Therefore, rational numbers between 3 and 4 are
Find five rational numbers between.
There are infinite rational numbers between.
Therefore, rational numbers betweenare
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.
(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.