Question

Divide 293 by 1000000 and express the result in standard form.

Answer 1

We've to divide 293 by 1000000. There are 6 zeros in 1000000. So we have to move the decimal 6 places to the left in 293 for dividing 293 by 1000000.
$\Rightarrow 293÷1000000=0.000293$
Now, We've to represent our result in standard form.
For this,
$0.000293=\frac{2.93}{10000}$
We can write 10000 as ${10}^4$.
$\Rightarrow 0.000293=\frac{2.93}{10000}=\frac{2.93}{{10}^4}$
Which can be fruther written as,
$2.93\times \frac{1}{{10}^4}$
Now, We know that $a^{-m}=\frac{1}{a^m}$. So we can write $\frac{1}{{10}^4}$ as ${10}^{-4}$.
$\Rightarrow 2.93\times \frac{1}{{10}^4}=2.93\times {10}^{-4}$
$2.93\times {10}^{-4}$ is in standard form.

Hence, 0.000293 will be represented as $2.93\times {10}^{-4}$ in the standard form.