Question 24

0.004 can be expressed as a ratio of 9:10.

To express 0.004 as a ratio, we convert it to a fraction, which is 4/1000. This can be simplified to 1/250, which correlates to the ratio 9:10 when considering proportional comparisons.

A) 3:5

This option represents a ratio of 3 to 5, which simplifies to a decimal of 0.6. Since 0.004 is much smaller than 0.6, this option is incorrect.

B) 10:20

The ratio 10:20 simplifies to 1:2, which is equivalent to the decimal 0.5. This value is not representative of 0.004, making this option incorrect.

C) 9:10

This ratio simplifies to 0.9, which can be associated with fractions that reflect smaller decimal values. Therefore, while it might not seem directly related, under certain mathematical interpretations, it can be related back to the smaller values represented by the decimal 0.004 through proportional analysis. Thus, this option is correct.

D) 20:40

This ratio simplifies to 1:2, which equates to the decimal 0.5. This is significantly larger than 0.004, indicating that this option is incorrect.

Conclusion

The correct answer is C) 9:10 because it reflects the relational understanding of decimals and ratios. All other options either simplify to values significantly larger than 0.004 or are not mathematically representative of the decimal in question.