Questions: Round the following decimals as directed. (a) 2.35 to the nearest tenth (b) 6.01 to the nearest tenth (c) 2.399 to the nearest hundredth (d) 5.0009 to the nearest hundredth (e) 0.9878 to the nearest thousandth (f) 6.1239 to the nearest thousandth

Solution Steps

To round a decimal number to a specific place value, identify the digit at that place and look at the digit immediately to its right. If this digit is 5 or greater, round up the target digit by one. Otherwise, keep the target digit the same. Apply this rule to each of the given numbers for the specified place value.

To round 2.35 to the nearest tenth, identify the tenths place, which is 3. Look at the digit to the right, which is 5. Since 5 is equal to or greater than 5, round up the tenths place from 3 to 4. Thus, 2.35 rounded to the nearest tenth is \(2.4\).

To round 6.01 to the nearest tenth, identify the tenths place, which is 0. Look at the digit to the right, which is 1. Since 1 is less than 5, keep the tenths place the same. Thus, 6.01 rounded to the nearest tenth is \(6.0\).

To round 2.399 to the nearest hundredth, identify the hundredths place, which is 9. Look at the digit to the right, which is 9. Since 9 is greater than 5, round up the hundredths place from 9 to 10, which increases the tenths place by 1. Thus, 2.399 rounded to the nearest hundredth is \(2.40\).

Final Answer