# Problem of the Week Problem B Rounding Equivalents

Sometimes the process of rounding numbers produces interesting results. For example, if you round the number $$39.99$$ to the nearest ten, you get $$40$$, if you round it to the nearest whole number, you get $$40$$, and if you round it to the nearest tenth, you get $$40.0$$. Notice that you get the same numerical value when rounding $$39.99$$ to the nearest ten, whole number, and tenth.

1. Find a number less than $$100$$ with two decimal places such that when you round to the nearest tenth you get the same numerical value as when you round to the nearest whole number.

2. Find a number less than $$100$$ with two decimal places such that when you round to the nearest tenth you get the same numerical value as when you round to the nearest ten.

3. Find the smallest number between $$99$$ and $$100$$ that has two decimal places that rounds to the same numerical value when you round to the nearest tenth, whole number, ten, and hundred.

Theme: Number Sense