Question

round 16.300488 to the nearest ten - thousandth.

Explanation:

Step1: Identify the ten - thousandth place

In the decimal number \(16.300488\), the places to the right of the decimal are: tenths (\(3\)), hundredths (\(0\)), thousandths (\(0\)), ten - thousandths (\(4\)), hundred - thousandths (\(8\)), millionths (\(8\)). So the digit in the ten - thousandth place is \(4\), and the next digit (hundred - thousandth place) is \(8\).

Step2: Apply the rounding rule

The rounding rule is: if the digit to the right of the place we are rounding to is \(5\) or greater, we round up the digit in the place we are rounding to; if it is less than \(5\), we leave the digit in the place we are rounding to as it is.
Since the digit to the right of the ten - thousandth place (\(4\)) is \(8\) (which is greater than \(5\)), we add \(1\) to the ten - thousandth place digit. So \(4 + 1=5\), and the digits after the ten - thousandth place are dropped.

So \(16.300488\) rounded to the nearest ten - thousandth is \(16.3005\).

Answer:

\(16.3005\)