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What is 80.552 rounded to the nearest hundredth?
The Correct Answer and Explanation is :
The number 80.552 rounded to the nearest hundredth is 80.55.
Explanation of Rounding
Rounding is a mathematical process used to reduce the number of digits in a number while maintaining its approximate value. It involves adjusting the number to the nearest specified place value, which can help simplify calculations and present data more clearly.
To round 80.552 to the nearest hundredth, we focus on the digit in the hundredths place and the digit immediately to its right. In the number 80.552:
- The digit in the hundredths place is 5 (the second digit after the decimal point).
- The digit in the thousandths place (the third digit after the decimal point) is 2.
The rule for rounding is straightforward:
- If the digit immediately to the right of the place value we are rounding to (in this case, the thousandths place) is 5 or greater, we round up the hundredths place digit by one.
- If that digit is less than 5, we leave the hundredths place digit unchanged.
In this example:
- The digit in the hundredths place is 5.
- The digit in the thousandths place is 2, which is less than 5.
Since the thousandths digit is less than 5, we do not increase the hundredths digit. Therefore, we keep the digit in the hundredths place (5) the same. The digits after the hundredths place are dropped, resulting in 80.55.
Thus, the correct answer is 80.55. This rounded number is easier to work with, especially in situations where precision to the hundredths place is sufficient, such as financial calculations or measurements.