Question

Compare the following numbers:

$2.5\times {10}^{12};3.5\times {10}^8$

Answer 1

In $2.5\times {10}^{12}$, $10$ is multiplied twelve times as the exponent here is $12$

So, $2.5\times {10}^{12}$$=2.5\times 10\times 10\times 10\times 10\times 10\times 10\times 10\times 10\times 10\times 10\times 10\times 10$

$=2500000000000$.

In $3.5\times {10}^8$, $10$ is multiplied eight times as the exponent here is $8$.

So, $3.5\times {10}^8$$=3.5\times 10\times 10\times 10\times 10\times 10\times 10\times 10\times 10$.

$=350000000$.

Here, $2500000000000$ $>$$350000000$.

Also, we can just compare the exponent of $10$. Greater the exponent, greater is the number.

Hence, $2.5\times {10}^{12}>3.5\times {10}^8$.