Round off 789/101 to the nearest hundredth
We need to round off the fraction 789/101 to the nearest hundredth.
Solution
Step 1: Convert the fraction to a decimal
First, we divide 789 by 101:
789 ÷ 101 = 7.8118811881188
Step 2: Identify the place value for rounding
We need to round to the nearest hundredth. This means we'll round to the second decimal place.
Step 3: Round the decimal
Rounding 7.8118811881188 to the nearest hundredth gives us 7.81.
Explanation: The digit in the hundredth place is 1. The next digit to the right is 1. Since this is less than 5, we keep the hundredth digit as is.
Answer
The fraction 789/101 rounded to the nearest hundredth is 7.81.
Additional Information
Rounding is a process of approximating a number to a certain place value. It's useful in many real-world situations where exact precision isn't necessary or practical.
When rounding to a specific place value:
- If the digit to the right is 5 or more, round up.
- If the digit to the right is 4 or less, round down.
Rounding can be applied to whole numbers, decimals, and fractions converted to decimals.
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