Change 0.004 to a ratio.

Rationale

0.004 can be expressed as the ratio 4:1000.

To convert 0.004 to a ratio, we can express it as a fraction, which simplifies to 4/1000. This can also be represented as a ratio by comparing the numerator to the denominator, yielding the ratio 4:1000.

A (3:5) YOUR ANSWER

This ratio compares two numbers that do not relate to the decimal 0.004. The equivalent fraction for 3:5 would be 0.6, which is significantly larger than 0.004. Thus, this option is incorrect as it represents a value far different from the intended decimal.

B (4/1000) YOUR ANSWER

While this fraction is indeed equivalent to 0.004, it does not represent the correct answer in ratio format, which typically compares two whole numbers. Although related, this option is not the answer as the question specifically asks for a ratio representation.

C (5:10) CORRECT

This ratio simplifies to 1:2, which again does not represent 0.004. The values in this ratio do not maintain the same relationship as the values derived from 0.004, making this option incorrect.

D (2/500) YOUR ANSWER

This fraction simplifies to 1/250, which is also not equivalent to 0.004. The value is significantly less than 0.004, making it an incorrect choice when attempting to express the decimal in ratio format.

Conclusion

To convert the decimal 0.004 to a ratio, it can be accurately expressed as 4:1000. While the other options provide various forms, none accurately represent the relationship defined by 0.004 in ratio format. Understanding these conversions is essential for clarity in mathematical expressions and their practical applications.

Change 0.004 to a ratio.

0.004 can be expressed as the ratio 4:1000.

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