Scientific Notation/Examples/Division/Arbitrary Example

Example of Multiplication and Division using Scientific Notation

$\dfrac {\paren {0 \cdotp 006} \paren {80 \, 000} } {0 \cdotp 04} = 12 \, 000$

$\ds \dfrac {\paren {0 \cdotp 006} \paren {80 \, 000} } {0 \cdotp 04}$

$=$

$\ds \dfrac {\paren {6 \times 10^{-3} } \paren {8 \times 10^4} } {4 \times 10^{-2} }$

$\ds $

$=$

$\ds \dfrac {6 \times 8 \times 10^{4 - 3} } {4 \times 10^{-2} }$

$\ds $

$=$

$\ds \dfrac {48} 4 \times 10^{1 - \paren {-2} }$

$\ds $

$=$

$\ds 12 \times 10^3$

$\ds $

$=$

$\ds 12 \, 000$

$\blacksquare$