Maureen has made up her own method of rounding Starting at t

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 rightarrow 3.272 rightarrow 3.27 rightarrow 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?

Solution

Her way of doing is correct.And this is a valid method. But when any number comes with ending with 5 then she will confuse whether she will round off that number to next number.

Example : 2.13555

Here, 5 we can mention as 6 also and as 5 also. So, she will face problem at this point.
But in such cases, we will round it off to 5 only.

So, here we will get

2.13555 -> 2.1355 -> 2.135 -> 2.13 -> 2.1