Change 9/16 to a decimal rounded to the nearest thousandth.

Rationale

0.563 is the decimal equivalent of 9/16 when rounded to the nearest thousandth.

To convert a fraction to a decimal, you divide the numerator by the denominator. In this case, dividing 9 by 16 gives a decimal of 0.5625. When rounding to the nearest thousandth, this becomes 0.563.

A (0.56) YOUR ANSWER

This choice rounds the number to the nearest hundredth, which is not as precise as rounding to the nearest thousandth. The decimal 0.56 omits the third digit after the decimal point, resulting in less precision than the correct answer.

B (0.57) YOUR ANSWER

This choice incorrectly rounds the decimal to the nearest hundredth. When rounding to the nearest hundredth, the correct decimal equivalent of 9/16 should be 0.56, not 0.57. The choice of 0.57 suggests an overestimation in the rounding process.

C (0.563) CORRECT

This is the correct answer. When 9 is divided by 16, the result is 0.5625. Rounding this to the nearest thousandth gives 0.563.

D (0.563) YOUR ANSWER

The answer is not rounded to the required state

Conclusion

When converting the fraction 9/16 to a decimal and rounding to the nearest thousandth, the correct answer is 0.563. The other choices represent either errors in rounding or are less precise due to being rounded to the nearest hundredth instead of the nearest thousandth. The presence of an identical choice might be a mistake in the question design.

Change 9/16 to a decimal rounded to the nearest thousandth.

0.563 is the decimal equivalent of 9/16 when rounded to the nearest thousandth.

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