Question

$0.0000837=8.37\times$ .

• A. ${10}^4$
• B. ${10}^5$
• C. ${10}^{-4}$
• D. ${10}^{-5}$

Answer 1

Answer: (A), (B), (D)

The correct options are
A ${10}^4$
B ${10}^5$
D ${10}^{-5}$

To convert 8.37 to 0.0000837, the decimal point has to be moved 5 places to the left.
That means, 8.37 has to be multiplied by ${10}^{-5}$ to get 0.0000837.
In other words,
$0.0000837=\frac{837}{10000000}$
$=\frac{837}{{10}^7}$
$=\frac{8.37\times {10}^2}{{10}^7}$
$=8.37\times {10}^{-5}$
(Using $\frac{a^m}{a^n}=a^{m-n})$