Question

0.00000000837 is expressed in its standard form as $x.37\times {10}^y$, where $x$ and $y$ are integers. Express the number $y\times {10}^x$ as a numeral.

• A. -90,00,00,000
• B. 90,00,00,000
• C. -9,00,00,000
• D. 9,00,00,000

Answer 1

The correct option is A -90,00,00,000

$0.00000000837=\frac{837}{100000000000}$
$=\frac{8.37\times {10}^2}{{10}^{11}}$
$=8.37\times {10}^{-9}(\because \frac{a^m}{a^n}=a^{m-n})$

Thus, $0.00000000837$ is expressed as $8.37\times {10}^{-9}$ in standard form.
$⟹x=8,y=-9$
$\therefore y\times {10}^x=-9\times {10}^8=-900000000$