200.96 rounded to the nearest hundredth
Understand the Problem
The question is asking to round the number 200.96 to the nearest hundredth, which involves identifying the second decimal place and determining whether to round up or remain the same based on the next digit.
Answer
The rounded number is $200.96$.
Answer for screen readers
The number rounded to the nearest hundredth is 200.96.
Steps to Solve
- Identify the hundredths place The hundredths place is the second digit to the right of the decimal point. For the number 200.96, the digits are as follows:
- The tenths place is 9 (first digit after the decimal).
- The hundredths place is 6 (second digit after the decimal).
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Determine the next digit Now, we look at the digit immediately following the hundredths place to decide whether to round up or keep the same. Since there are no more digits after 200.96, we can treat it as 200.96 followed by a 0. Thus, the digit following the hundredths place is 0.
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Apply rounding rules According to rounding rules, if the next digit is 5 or greater, we round up. If it is less than 5, we keep the original digit. Here, since the next digit (0) is less than 5, we will not round up.
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Final rounded number Thus, the number rounded to the nearest hundredth is unchanged: 200.96.
The number rounded to the nearest hundredth is 200.96.
More Information
Rounding to the nearest hundredth means looking at the third decimal place to decide how to treat the second decimal place. Remember that when ending in 0, it remains the same because it won't increase the number.
Tips
- A common mistake is to incorrectly identify which digit to round if there are more digits present. In this case, there are not, and recognizing that helps avoid confusion.
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