What is 26.553 rounded to the nearest hundredth?
The Correct Answer and Explanation is :
The correct answer is: 26.55
To round the number 26.553 to the nearest hundredth, you follow a systematic approach based on the value of the digits in the number.
Step-by-Step Explanation of Rounding to the Nearest Hundredth:
- Identify the Place Values:
- In the number 26.553, the digit in the hundredths place is 5 (the second digit to the right of the decimal point).
- The digit in the thousandths place, which will determine how we round the hundredths place, is 3 (the third digit to the right of the decimal point).
- Rounding Rules:
- When rounding, if the digit immediately to the right of the place you’re rounding to (in this case, the thousandths place) is 5 or greater, you round up the hundredths place by one.
- If that digit is less than 5, you leave the hundredths place digit unchanged.
- Applying the Rules:
- Here, since the thousandths place is 3, which is less than 5, we will not round up.
- Therefore, we keep the digit in the hundredths place (which is 5) the same.
- Final Result:
- Thus, rounding 26.553 to the nearest hundredth gives us 26.55.
Conclusion:
Rounding numbers is a fundamental mathematical skill that helps simplify numbers for estimation, reporting, and calculations. It allows us to express values more succinctly while retaining a degree of accuracy. In this example, rounding 26.553 to 26.55 makes it easier to work with, especially in practical applications like finance, measurements, or statistics, where precise values are necessary but can be cumbersome when presented with many decimal places. This method of rounding is consistent and can be applied universally, making it an essential tool in both academic and everyday contexts.