Express each of the following as a decimal:
A. 8 %
B. 22 %
C. \(\frac{1}{4}\) %
D. 0.05 %
Arrange the above in decreasing order and choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → B, A, C, D
Per cent means “out of 100”, so a percentage becomes a decimal when it is divided by 100. The decimals can then be compared directly.
A. 8% as a decimal: \(8\div100=0.08\)
B. 22% as a decimal: \(22\div100=0.22\)
C. \(\frac{1}{4}\%\) is a quarter of one per cent: \(0.25\div100=0.0025\)
D. 0.05% as a decimal: \(0.05\div100=0.0005\)
In decreasing order: \(0.22\gt0.08\gt0.0025\gt0.0005\), that is, B, A, C, D. Here \(\frac{1}{4}\%\) is far smaller than 8%, even though the fraction looks large.