Question

MULTIPLYING AND DIVIDING IN SCIENTIFIC NOTATION

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

$(2.8\times {10}^4)÷(2.5\times {10}^6)$

Answer 1

Find product

$\frac{(2.8\times {10}^4)}{(2.5\times {10}^6)}$

$\frac{2.8}{2.5}\times \frac{{10}^4}{{10}^6}$ (Multiplying digits and powers simultaneously)

$=1.12\times \left({10}^{4-6}\right)$ (Using exponent $\frac{{\mathrm{a}}^{\mathrm{m}}}{{\mathrm{a}}^{\mathrm{n}}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}$)

$=1.12\times {10}^{-2}$

Hence, the product (in scientific notation) is $1.12\times {10}^{-2}$ .