Question

MULTIPLYING AND DIVIDING IN SCIENTIFIC NOTATION

Find the product or quotient. Write your answer in scientific notation.

$(5.8\times {10}^{-6})÷(2\times {10}^{-3})$

Answer 1

Find quotient

$(5.8\times {10}^{-6})÷(2\times {10}^{-3})$

$=\frac{(5.8\times {10}^{-6})}{(2\times {10}^{-3})}$ (Writing in the form of $\frac{\mathrm{p}}{\mathrm{q}}$)

$=2.9\times \frac{{10}^{-6}}{{10}^{-3}}$ (Solving division between digits and powers simultaneously)

$=2.9\times {10}^{-6-(-3)}$ (Using exponent $\frac{{\mathrm{a}}^{\mathrm{m}}}{{\mathrm{a}}^{\mathrm{n}}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}$)

$=2.9\times {10}^{-6+3}$

$=2.9\times {10}^{-3}$