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The average of three natural numbers cannot be ____

Question

The average of three natural numbers cannot be ____

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Solution

The average of three natural numbers cannot be a fractional number.

Here's why:

  1. A natural number is a positive integer, starting from 1 and going up (1, 2, 3, 4, 5, etc.).

  2. When you add three natural numbers together, the sum will also be a natural number.

  3. When you divide a natural number by another natural number, the result can be a whole number or a fraction.

  4. However, when you divide the sum of three natural numbers by 3 (which is the process of finding the average), the result will always be a whole number or a decimal that ends in .333, .666, or .000 (which are the decimal equivalents of 1/3, 2/3, and 0/3 respectively).

  5. Therefore, the average of three natural numbers cannot be a fractional number that doesn't end in .333, .666, or .000.

This problem has been solved

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