Question

what is 21.011 rounded to the nearest hundredth?

Explanation:

Step1: Identify the hundredth place

In the number \(21.011\), the hundredth place is the second digit after the decimal point, which is \(1\) (the digit in the hundredth place: \(21.0\underline{1}1\)).

Step2: Look at the next digit (thousandth place)

The digit in the thousandth place (the digit to the right of the hundredth place) is \(1\) (the digit: \(21.01\underline{1}\)).

Step3: Apply the rounding rule

The rounding rule states that if the digit to the right of the place we are rounding to (thousandth place here) is less than \(5\), we leave the digit in the hundredth place as it is. Since \(1 < 5\), we do not change the digit in the hundredth place. So, \(21.011\) rounded to the nearest hundredth is \(21.01\).

Answer:

\(21.01\)