Which THREE of the following numbers are equivalent to 40 percent?

Rationale

0.4, 4/10, and 2/5 are equivalent to 40 percent.

These three representations demonstrate the same numerical value as 40 percent when converted into decimal or fractional forms. Percentages can be expressed in various ways, and understanding these conversions is essential for numerical comprehension.

A (0.4) CORRECT

This decimal representation directly corresponds to 40 percent, as 40 out of 100 is equivalent to 0.4 when expressed as a fraction. Hence, 0.4 accurately reflects the percentage value.

B (4/100) YOUR ANSWER

While this fraction represents a numerical value, it simplifies to 0.04 (which is 4 percent), not 40 percent. Therefore, it does not equate to the intended percentage.

C ({4/10}) CORRECT

This fraction simplifies to 0.4, which is equivalent to 40 percent. It is another valid representation of the same value, aligning perfectly with the percentage.

D (0.04) YOUR ANSWER

This decimal is equivalent to 4 percent, not 40 percent. Thus, it does not represent the correct value and is not among the answers.

E (4) YOUR ANSWER

This whole number does not express a percentage value and does not relate to 40 percent. It is entirely different from the intended numerical representation.

F ({2/5}) CORRECT

This fraction simplifies to 0.4, which is equivalent to 40 percent, making it a valid choice along with the other correct answers.

Conclusion

Understanding the equivalences of percentages in different formats is crucial in mathematics. In this case, 0.4, 4/10, and 2/5 all accurately represent 40 percent, while the other options do not. Recognizing these relationships enhances numerical literacy and is essential in various real-world applications.

Which THREE of the following numbers are equivalent to 40 percent?

0.4, 4/10, and 2/5 are equivalent to 40 percent.

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