MCQ
Which of the following has the largest value?
- A$0.0001$
- B$\frac{1}{10000}$
- C$\frac{1}{10^{6}}$
- D$\frac{1}{10^{6}}\div0.1$
✓
Answer
For option $(a),0.0001=\frac{1}{10000}$
For option $(b),\frac{1}{10000}$
For option $(c),\frac{1}{10^{6}}=\frac{1}{10\times10\times10\times10\times10\times10}$
$=\frac{1}{1000000}$
For option $(d) , \frac{1}{10^{6}}+0.1=\frac{1}{0.1}\times\frac{1}{0.1}$
$=\frac{1}{10^{6}}\times\frac{10}{1}=\frac{10}{10^{6}}=\frac{1}{10^{5}}$
$=\frac{1}{10\times10\times10\times10\times10}$
$=\frac{1}{100000}$
The fraction whose denominator is smallest wil be largest.
Hence, $(a)$ and $(b)$ are the largest.
For option $(b),\frac{1}{10000}$
For option $(c),\frac{1}{10^{6}}=\frac{1}{10\times10\times10\times10\times10\times10}$
$=\frac{1}{1000000}$
For option $(d) , \frac{1}{10^{6}}+0.1=\frac{1}{0.1}\times\frac{1}{0.1}$
$=\frac{1}{10^{6}}\times\frac{10}{1}=\frac{10}{10^{6}}=\frac{1}{10^{5}}$
$=\frac{1}{10\times10\times10\times10\times10}$
$=\frac{1}{100000}$
The fraction whose denominator is smallest wil be largest.
Hence, $(a)$ and $(b)$ are the largest.
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