Question

What will be the standard form for $0.00000698$?

• A. $6.98\times {10}^{-7}$
  
• B. $6.98\times {10}^{-5}$
• C. $6.98\times {10}^{-6}$
• D. $6.98\times {10}^6$

Answer 1

The correct option is C $6.98\times {10}^{-6}$

We've to write $0.00000698$ into the standard form.
We can write $0.00000698$ as $\frac{6.98}{1000000}$.

Now, $1000000={10}^6$
$\Rightarrow \frac{6.98}{1000000}=\frac{6.98}{{10}^6}$

We know that, $\frac{1}{a^m}=a^{-m}$
$\Rightarrow \frac{6.98}{{10}^6}=6.98\times {10}^{-6}$
Hence, option a is the correct answer.