Question

Question 18

Which of the following has the largest value?
(a) 0.0001
(b) $\frac{1}{10000}$
(c) $\frac{1}{{10}^6}$
(d) $\frac{1}{{10}^6}÷0.1$

Answer 1

For option (a), $0.0001=\frac{1}{10000}$
For option (b), $\frac{1}{10000}$
For option (c), $\frac{1}{{10}^6}=\frac{1}{10\times 10\times 10\times 10\times 10\times 10}=\frac{1}{1000000}$
For option (d), $\frac{1}{{10}^6}÷0.1=\frac{1}{{10}^6}\times \frac{1}{0.1}=\frac{1}{{10}^6}\times \frac{10}{1}=\frac{10}{{10}^6}=\frac{1}{{10}^5}=\frac{1}{10\times 10\times 10\times 10\times 10}=\frac{1}{100000}$

The fraction whose denominator is smallest will be largest.
Hence, (a) and (b) are the largest.