Question

question 50
round off the following decimal to the nearest thousandth:
0.3333 =

Explanation:

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<reasoning>

Identify the target place value

The target is the nearest thousandth, which corresponds to the third decimal place in the number \(0.3333\).

Determine the rounding digit

The digit in the thousandths place is \(3\) (the third \(3\) after the decimal point: \(0.33\mathbf{3}3\)).
The digit immediately to its right (in the ten-thousandths place) is \(3\).

Apply the rounding rule

Since the digit to the right (\(3\)) is less than \(5\), the digit in the thousandths place remains unchanged.
Thus, \(0.3333\) rounded to the nearest thousandth is \(0.333\).
</reasoning>

<answer>
Round off the following decimal to the nearest thousandth:

\(0.3333 =\) <blank>0.333</blank>
</answer>

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Answer:

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<reasoning>

Identify the target place value

The target is the nearest thousandth, which corresponds to the third decimal place in the number \(0.3333\).

Determine the rounding digit

The digit in the thousandths place is \(3\) (the third \(3\) after the decimal point: \(0.33\mathbf{3}3\)).
The digit immediately to its right (in the ten-thousandths place) is \(3\).

Apply the rounding rule

Since the digit to the right (\(3\)) is less than \(5\), the digit in the thousandths place remains unchanged.
Thus, \(0.3333\) rounded to the nearest thousandth is \(0.333\).
</reasoning>

<answer>
Round off the following decimal to the nearest thousandth:

\(0.3333 =\) <blank>0.333</blank>
</answer>

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"Mathematics",
"Algebra",
"Decimal Rounding"
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