Question

12. State whether the following statements are true or false. Give reasons for your answers : (i) Every natural number is a whole number. (ü) Every integer is a whole number. (ii) Every rational number is a whole number. (iv) The set of real numbers includes all positive numbers and not the negative numbers. (v) No rational number can be inserted between two rational numbers. (vi) No rational number can be inserted between two irrational numbers. (vii) There are infinitely many rational numbers between two rational number​

Answer 1

Answer:

1-true

reason- because natural number starts from 1 and whole number starts from 0. We see that every natural number see in set of whole number.

2- false

reason- an integer can be negative or positive whereas whole numbers are only positive

3- false

reason- a rational number can be expressed as decimal.whole number is a positive number without a fraction or decimal.but a rational number that can be expressed as a fraction.thus ,every rational number is not a whole number.

4- false

reason- all numbers are real numbers and non terminating numbers are irrational number