Question

Compare the following, and write which one is greater:

(iii) $4\times {10}^{14};3\times {10}^{17}$

Answer 1

STEP 1 : Finding the value of the exponents

$\Rightarrow 4\times {10}^{14}=4\times {10}^{14}$

$\Rightarrow 3\times {10}^{17}=3\times {10}^3\times {10}^{14}$

$3\times {10}^{17}=3000\times {10}^{14}$

STEP 2 : Comparing the value of the exponents

Clearly, $3000\times {10}^{14}>4\times {10}^{14}$

$\Rightarrow 3\times {10}^{17}>4\times {10}^{14}$

Hence, $3\times {10}^{17}$ is greater than $4\times {10}^{14}$.