Question

MULTIPLYING AND DIVIDING IN SCIENTIFIC NOTATION

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

$(1.2\times {10}^{-5})÷4$

Answer 1

Find quotient

$(1.2\times {10}^{-5})÷4$

$=\frac{1.2\times {10}^{-5}}{4}$ (Writing in the form of $\frac{\mathrm{p}}{\mathrm{q}}$)

$=\frac{1.2}{4}\times {10}^{-5}$ (Solving division between digits and powers simultaneously)

$=0.3\times {10}^{-5}$

$=3\times {10}^{-1}\times {10}^{-5}$

$=3\times {10}^{-1+(-5)}$ (Using exponent $\frac{{\mathrm{a}}^{\mathrm{m}}}{{\mathrm{a}}^{\mathrm{n}}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}$)

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