Express 0.025 as a ratio.
0.025 can be expressed as the ratio 1:40.
To convert the decimal 0.025 into a ratio, we can express it as 25/1000, which simplifies to 1/40. This indicates that 0.025 is equivalent to the ratio of 1 to 40.
This choice accurately represents the simplified form of the decimal 0.025. By dividing both the numerator (25) and the denominator (1000) by 25, we arrive at the ratio 1:40, confirming its correctness.
This ratio suggests that for every 4 parts of one quantity, there is 1 part of another, which is not reflective of the decimal given. A ratio of 4:1 would imply a value of 4.0, far greater than 0.025, indicating a misunderstanding of the conversion process.
A ratio of 400:1 implies that for every 400 parts of one quantity, there is only 1 part of another, which also significantly exceeds the value represented by 0.025. This choice misrepresents the decimal by suggesting an unduly large ratio.
This format represents a time or a more complex ratio rather than a simple two-part ratio. It does not effectively communicate the relationship expressed by the decimal 0.025 and is therefore irrelevant to the question at hand.
To express the decimal 0.025 as a ratio, the correct conversion yields 1:40, signifying a clear relationship between the two quantities. The other options either misrepresent the decimal or use incorrect formatting, making them unsuitable as correct answers. Understanding how to convert decimals into ratios is essential for accurate mathematical representation and interpretation.
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