Question 19

9/16 as a decimal rounded to the nearest thousandth is 0.563.

When converting the fraction 9/16 to a decimal, the result is 0.5625. Rounding this value to the nearest thousandth yields 0.563.

A) 0.56

This option is incorrect because 0.56 is less than the value obtained from rounding 0.5625 to the nearest thousandth. The correct rounded value is 0.563, making this option too low.

B) 0.57

This option is also incorrect. While 0.57 is higher than the actual decimal value of 0.5625, rounding to the nearest thousandth requires us to round down to 0.563, not up to 0.57.

C) 0.563

This is the correct answer. The fraction 9/16 converts to 0.5625, and when rounded to the nearest thousandth, it becomes 0.563. This option accurately reflects the correct rounding.

D) 0.563

This option is correct as well. It is identical to Option C and correctly represents the decimal value of 9/16 rounded to the nearest thousandth. Both C and D provide the same correct answer.

Conclusion

The correct answer is 0.563, as it accurately represents the decimal conversion of 9/16 rounded to the nearest thousandth. Options A and B fail to reflect the correct rounding process, while both C and D correctly state the same value, confirming the accuracy of the conversion.