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.

Explanation

To rewrite the statement "If a natural number is odd, then its square is also odd" in five different ways while maintaining the same meaning, we can express it using logical implications and equivalent statements. Here are the five rewrites:

1. If a natural number is odd, then it follows that its square is odd.

2. A natural number is odd only if its square is odd.

3. For a natural number to be odd, it is necessary that its square is odd.

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