Q1 of 24 Page 44

State whether the following statements are true or false.

i. Every natural number is a whole number.


ii. Every whole number is a natural number.


iii. Every integer is a rational number.


iv. Every rational number is a whole number.


v. Every rational number is an integer.


vi. Every integer is a whole number.

(i) Yes, because natural numbers are 1, 2, 3, …, and so on


And whole numbers are 0, 1, 2, 3, …,


Therefore, Every natural number is a whole number.


(ii) No,


0 is a whole number, but not a natural number.


(iii) Yes, Any integer 'p' can be represented in the form and 1≠0,


Therefore, every integar is a rational number.


(iv) No, is a rational number, but not a whole number.


(v) No, is a rational number, but not an integer.


(vi) No, negative integers are not whole numbers,


For example, -1 is an integer but not a whole number.


More from this chapter

All 24 →
2

Is zero a rational number? Give reasons for your answer.

 3

Find any two rational numbers between and

1

Convert the following rational numbers into decimals and state the kind of decimal expansion.

i. ii.


iii. iv.


v. vi.


vii. viii.

2

Without actual division, find which of the following rational numbers have terminating decimal expansion.

i. ii.


iii. iv.