Source: Exemplar

Which of the following has the smallest value?

Options

Option A is correct

0.0002

Option B

21000\frac{2}{1000}

Option C

(0.2)22\frac{(0.2)^2}{2}

Option D

2100÷0.01\frac{2}{100} \div 0.01

Explanation

Convert all options to decimal form for comparison: (a) 0.0002 (b) 21000=0.002\frac{2}{1000} = 0.002 (c) (0.2)22=0.042=0.02\frac{(0.2)^2}{2} = \frac{0.04}{2} = 0.02 (d) 2100÷0.01=0.02÷0.01=2\frac{2}{100} \div 0.01 = 0.02 \div 0.01 = 2 Comparing 0.0002, 0.002, 0.02, and 2, the smallest value is 0.0002.