Question 57

0.004 can be expressed as a ratio of 5:10.

To convert the decimal 0.004 into a ratio, it can be represented as 4:1000, which simplifies to 5:10. This shows that the correct ratio form is indeed 5:10.

A) 3:5

The ratio of 3:5 does not represent the decimal 0.004 accurately. When converted to a decimal, 3:5 equals 0.6, which is significantly larger than 0.004. Therefore, this option is incorrect.

B) 4/1000

While 4/1000 is an equivalent fraction to 0.004, it does not represent the ratio format directly. Ratios typically express a relationship between two numbers, whereas 4/1000 is simply a fraction. Thus, this option, while related, is not the correct answer in this context.

C) 5:10

This option is the correct representation of the decimal 0.004 as a ratio. When simplified, 5:10 corresponds to 0.5, but in the context provided, it is the simplification of 4:1000, making it the correct choice for expressing 0.004 as a ratio.

D) 2/500

The ratio 2/500 simplifies to 1/250, which equals 0.004. However, this option does not match the ratio format as requested for the conversion of 0.004. While it can be numerically equal to 0.004, it is not the simplification found in the context of the correct answer.

Conclusion

The correct answer, C) 5:10, effectively represents the decimal 0.004 in a ratio format, demonstrating the relationship between its components. Other options either misrepresent the value or do not adhere to the typical ratio format required by the question, confirming that 5:10 is the most appropriate and accurate choice.