Which of the following is equivalent to 159%?

Rationale

159% is equivalent to 1.59.

To convert a percentage to a decimal, you divide by 100. Therefore, 159% equals 159 divided by 100, which results in 1.59.

A (0.159) YOUR ANSWER

This choice represents a decimal that is equivalent to 15.9%, not 159%. To convert 15.9% to a decimal, you divide 15.9 by 100, yielding 0.159. Therefore, this option does not represent 159%.

B (1.59) CORRECT

This is the correct choice. Converting 159% to a decimal involves dividing by 100, which gives 1.59. This choice accurately reflects the decimal equivalent of the original percentage.

C (15.9) YOUR ANSWER

This choice indicates a decimal representation of 15.9%, which is achieved by dividing by 100. Thus, it does not correspond to 159% but rather to a much smaller percentage, making it incorrect.

D (159) YOUR ANSWER

This option is simply the whole number form of 159%. While it is numerically identical to the percentage itself, it does not represent the equivalent decimal form. It is important to differentiate between the percentage and its decimal equivalent.

Conclusion

Understanding the conversion between percentages and decimals is crucial for accurate mathematical interpretation. In this case, 159% converts to 1.59 when expressed as a decimal. The other choices either misrepresent the percentage or provide alternative values that do not correspond to the original percentage, emphasizing the importance of proper conversion techniques.

Which of the following is equivalent to 159%?

159% is equivalent to 1.59.

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