To round a number to a specific decimal place, identify the digit at the desired decimal place and look at the digit immediately to its right. If this digit is 5 or greater, round up the target digit by one. If it is less than 5, keep the target digit the same. Apply this rule to round the number 76.9913 to the tenth, hundredth, and thousandth places.
To round the number \(76.9913\) to the tenth place, we look at the digit in the hundredth place, which is \(9\). Since \(9 \geq 5\), we round up the digit in the tenth place from \(9\) to \(10\), resulting in \(77.0\).
To round the number \(76.9913\) to the hundredth place, we examine the digit in the thousandth place, which is \(1\). Since \(1 < 5\), we keep the digit in the hundredth place as \(9\), resulting in \(76.99\).
To round the number \(76.9913\) to the thousandth place, we look at the digit in the ten-thousandth place, which is \(3\). Since \(3 < 5\), we keep the digit in the thousandth place as \(1\), resulting in \(76.991\).