Question
Compare the number: $4 \times 10^{14} ; 3 \times 10^{17}$
✓
Answer
In order to compare $4 \times 10^{14} ; 3 \times 10^{17}$, we should expand and then compare the values.
$3 \times 10^{17}=3 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10=3$
$\times 1000 \times 10^{14}$
$=3000 \times 10^{14}$
Clearly, $3000 \times 10^{14}>4 \times 10^{14}$
Hence, $3 \times 10^{17}>4 \times 10^{14}$
$3 \times 10^{17}=3 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10=3$
$\times 1000 \times 10^{14}$
$=3000 \times 10^{14}$
Clearly, $3000 \times 10^{14}>4 \times 10^{14}$
Hence, $3 \times 10^{17}>4 \times 10^{14}$
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