Compare the relationships of these numbers: 0.25 is _______ to 25%.

Rationale

0.25 is equal to 25%.

The decimal 0.25 and the percentage 25% represent the same value, as 25% is simply another way of expressing the decimal fraction 0.25. When converting percentages to decimals, one divides by 100, confirming the equivalence of these two forms.

A (equal) CORRECT

Both 0.25 and 25% represent the same numerical value. To convert 25% to a decimal, divide by 100, resulting in 0.25. This equality shows that they are two representations of the same quantity, affirming that 0.25 is indeed equal to 25%.

B (greater) YOUR ANSWER

This choice suggests that 0.25 exceeds 25%, which is incorrect. Since 0.25 converts to 25%, it cannot be greater than itself. Therefore, this option misrepresents the relationship between the two values.

C (less) YOUR ANSWER

Choosing this option implies that 0.25 is smaller than 25%. However, since they are equivalent, this statement is false. 0.25 is neither less than nor greater than 25%, making this option incorrect.

D (not comparable) YOUR ANSWER

This choice indicates that the two numbers cannot be compared, which is untrue. Both 0.25 and 25% are comparable as they represent the same quantity in different formats. Thus, this option mischaracterizes their relationship.

Conclusion

The relationship between 0.25 and 25% is one of equality, as both values signify the same amount. Understanding that percentages can be converted to decimals enables clearer comparisons and reinforces the idea that different numerical representations can convey identical meanings. In this case, 0.25 is equal to 25%, confirming their direct equivalence.

Compare the relationships of these numbers: 0.25 is _______ to 25%.

0.25 is equal to 25%.

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