Question

Which of the following has the largest value?

1. 0.0001
2. `1/10000`
3. `1/10^6`
4. `1/10^6 ÷ 0.1`

Answer 1

a and b

Explanation:

a. 0.0001 = `1/10000`

b. `1/10000`

c. `1/10^6 = 1/(10 xx 10 xx 10 xx 10 xx 10 xx 10) = 1/1000000`

d. `1/10^6 ÷ 0.1 = 1/10^6 xx 1/0.1 = 1/10^6 xx 10/1 = 10/10^6 = 1/10^5`

= `1/(10 xx 10 xx 10 xx 10 xx 10)` = `1/100000`

The fraction whose denominator is smallest will be largest. Hence,  0.0001 and `1/10000` are the largest.