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Round the following decimal to the nearest hundredth:

[tex]\[ 670.311 \][/tex]

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To round the decimal number 670.311 to the nearest hundredth, follow these steps:

1. Identify the hundredth place: The hundredth place is the second digit to the right of the decimal point. In 670.311, this digit is 1.

2. Look at the thousandth place: The thousandth place is the third digit to the right of the decimal point, which helps us determine how to round the hundredth place. In 670.311, this digit is 1.

3. Determine whether to round up or down: If the digit in the thousandth place is 5 or greater, we round the hundredth place up by one. If it is less than 5, we leave the hundredth place as it is. Since the digit in the thousandth place is 1, which is less than 5, we do not round up.

4. Write the final rounded number: Since we do not round the hundredth place up, the number remains 670.31.

Therefore, 670.311 rounded to the nearest hundredth is 670.31.
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