Question

Maureen has made up her own method of rounding. Starting at the right-most place in a decimal number, she keeps rounding to the value of the next place to the left until she reaches the place to which the decimal number was to be rounded. For example, Maureen would use the following steps to round 3.2716 to the nearest tenth:

3.2716 → 3.272 → 3.27 → 3.3
Try Maureen's method on several examples. Is her method valid? That is, does it always round decimal numbers correctly? Or are there examples of decimal numbers where Maureen's method does not give the correct rounding?

Answer 1

Maureen's method of rounding is not valid because it does not follow the standard rules of rounding in mathematics.

Step-by-step explanation:

Maureen's method of rounding involves rounding a decimal number to the value of the next place to the left until the desired place is reached. For example, when rounding 3.2716 to the nearest tenth, she rounds it to 3.272, then to 3.27, and finally to 3.3.

This method of rounding is not valid because it does not follow the standard rules of rounding. In mathematics, rounding involves looking at the digit to the right of the desired place and making a decision based on that digit. If the digit is less than five, the digit in the desired place stays the same. If the digit is five or greater, the digit in the desired place increases by one.