Question

Rewrite the following statement with “if-then” in five different ways conveying the same meaning. If a natural number is odd, then its square is also odd.

Answer 1

The given statement is: If a natural number is odd, then its square is also odd. This statement can be written in five different ways as follows:

(i) For a natural number to be odd, it is important that its square is odd.

(ii) For the square of a natural number to be odd, it is important that the number is odd.

(iii) A natural number is odd which implies that its square is odd.

(iv) If the square of a natural number is not odd, then the natural number is not odd,

(v) A natural number is odd only if its square is odd.