Question

The standard form of $0.0005361$ is ___.

• A. $5361\times {10}^{-6}$
• B. $53.61\times {10}^4$
• C. $5.361\times {10}^{-4}$
• D. $5.361\times {10}^{-3}$

Answer 1

The correct option is C $5.361\times {10}^{-4}$

$0.0005361=\frac{5361}{10000000}$
$=\frac{5361}{{10}^7}$
$=\frac{5.361\times {10}^3}{{10}^7}$
$=5.361\times {10}^{-4}(\because \frac{a^m}{a^n}=a^{m-n})$

Thus, the standard form of $0.0005361$ is $5.361\times {10}^{-4}.$