Question 39

0.025 can be expressed as the ratio 1:40.

To express the decimal 0.025 as a ratio, it simplifies to 1:40, indicating that for every 1 part of the quantity, there are 40 parts of another quantity.

A) 1:40

This option is correct because 0.025 can be converted to a fraction, which is 25/1000. Simplifying this fraction gives us 1/40, perfectly representing the ratio of 1:40.

B) 4:1

This option is incorrect as it suggests that 4 parts correspond to 1 part of another quantity. This does not reflect the value of 0.025, which is much smaller and should yield a ratio where the second part is significantly larger.

C) 400:1

This option is also incorrect. A ratio of 400:1 would imply that 0.025 is equal to a much larger fraction, specifically 400 parts of one quantity to 1 part of another, which is inconsistent with the value of 0.025.

D) 26:40:00

This option does not represent a valid ratio format and is incorrect. Ratios should be expressed in a simplified form, and 26:40:00 does not provide a clear relationship reflective of the value 0.025.

Conclusion

The ratio 1:40 accurately represents the decimal 0.025, demonstrating a clear relationship between the two quantities involved. All other options fail to represent this value correctly, either by misrepresenting the ratio or not adhering to the standard ratio format.