Look at the table below. Select the whole number the decimal will round to. Round the decimals to the nearest whole number. 7.48 7.291 7.604 7.81 7 8 6. Which decimal completes the sentence below? rounded to the nearest hundredth is 2.72.
The Correct Answer and Explanation is:
Answers:
5. Rounded to the nearest whole number:
- 7.48 → 7
- 7.291 → 7
- 7.604 → 8
- 7.81 → 8
6. Decimal that rounds to 2.72 to the nearest hundredth:
- 2.715
Explanation:
Rounding decimals depends on which place value you are rounding to and which digit follows it. For both problems, we apply standard rounding rules using place value.
For problem 5, we are rounding to the nearest whole number. That means we focus on the tenths digit (the first digit after the decimal point). The rules are simple:
- If the tenths digit is 5 or more, round up to the next whole number.
- If the tenths digit is less than 5, round down and keep the whole number the same.
So:
- 7.48 has a tenths digit of 4. Since 4 is less than 5, it rounds down to 7.
- 7.291 has a tenths digit of 2. Two is also less than 5, so it rounds down to 7.
- 7.604 has a tenths digit of 6. Six is more than 5, so we round up to 8.
- 7.81 has a tenths digit of 8. Since 8 is more than 5, we round up again to 8.
For problem 6, we are rounding to the nearest hundredth. That involves checking the thousandths digit, which is the third digit after the decimal.
- If the thousandths digit is 5 or greater, round the hundredths digit up.
- If it is less than 5, leave the hundredths digit as is.
So if we test 2.715:
- Hundredths digit is 1
- Thousandths digit is 5 Because 5 rounds the hundredths digit up, 2.715 becomes 2.72
This approach ensures accuracy in all types of rounding tasks, especially in scientific, mathematical, or financial settings where precision matters.
