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QuestionMathematics

Round 134.76821 to the nearest hundredth. A. 134.8 B. 134.77 C. 100 D. 134.768
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Answer

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Step 1:
I'll solve this rounding problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the place value for rounding

To round to the nearest hundredth, we look at the third decimal place (the thousandths digit).

Step 3:
: Examine the digit in the thousandths place

In $$134.76821$$, the digit in the thousandths place is $$8$$.

Step 4:
: Rounding rule

- If the digit is 5 or greater, round up - If the digit is less than 5, round down

Step 5:
: Apply the rounding rule

Since $$8$$ is greater than $$5$$, we round up the hundredths digit.

Step 6:
: Perform the rounding

134.76821$$ rounds to $$134.77

Final Answer

Explanation: - The original number is 134.76821 - The 8 in the thousandths place causes us to round up - The hundredths digit 6 becomes 7 - All digits after the hundredths place are dropped