Question

Compare the following numbers:

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

Answer 1

Comparing the given numbers

Exponent refers to the number of times a particular number is multiplied.

Understand that here the number $4\times {10}^4$ has $10$ multiplied $4$ times.

Similarly, the number $3\times {10}^{17}$has$10$ multiplied $17$ times.

Therefore, it is clear that $3\times {10}^{17}$is greater than $4\times {10}^4$.

Hence, the required answer is $4\times {10}^4<3\times {10}^{17}$.