Rewrite the following statement using "if-then" in five different ways conveying the same meaning:
"If a natural number is odd,then its square is also odd."
"If a natural number is odd,then its square is also odd."
(N/A) The given statement can be expressed in five different ways as follows:
$(i)$ $A$ natural number being odd implies that its square is odd.
$(ii)$ $A$ natural number is odd only if its square is odd.
$(iii)$ For a natural number to be odd,it is necessary that its square is odd.
$(iv)$ For the square of a natural number to be odd,it is sufficient that the number is odd.
$(v)$ If the square of a natural number is not odd,then the natural number is not odd.
$(i)$ $A$ natural number being odd implies that its square is odd.
$(ii)$ $A$ natural number is odd only if its square is odd.
$(iii)$ For a natural number to be odd,it is necessary that its square is odd.
$(iv)$ For the square of a natural number to be odd,it is sufficient that the number is odd.
$(v)$ If the square of a natural number is not odd,then the natural number is not odd.
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