The square of 0.01 can be represented in percentage form by which of the…
2019
The square of 0.01 can be represented in percentage form by which of the following statements?
Statement | Expression |
|---|---|
I | 0.01% |
II | 1/100 |
III | 1% |
IV | 1/100% |
Answer: D. I and IV — ConceptTo convert a decimal to a percentage, multiply it by 100 and attach the percent sign. Conversely, p% means p/100 of one whole. Squaring a decimal…
- A.
I and II
- B.
II and III
- C.
I and III
- D.
I and IV
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Correct answer: D
Concept
To convert a decimal to a percentage, multiply it by 100 and attach the percent sign. Conversely, p% means p/100 of one whole. Squaring a decimal multiplies the decimal by itself before the percentage conversion.
Application
Square the decimal: 0.01 × 0.01 = 0.0001.
Convert the result to a percentage: 0.0001 × 100 = 0.01%.
Interpret the fractional percentage: 1/100% means one hundredth of one percent, which is 0.01%.
Cross-check
Converting 0.01% back to a decimal gives 0.01 ÷ 100 = 0.0001, the same as the square.
Result
Therefore, 0.01% and 1/100% both represent the required percentage.