Question

MULTIPLYING AND DIVIDING IN SCIENTIFIC NOTATION

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

$(6.5\times {10}^8)\times (1.4\times {10}^{-5})$

Answer 1

Find product

$(6.5\times {10}^8)\times (1.4\times {10}^{-5})$

$=(6.5\times 1.4)\times ({10}^8\times {10}^{-5})$ (Multiplying digits and powers simultaneously)

$=9.1\times {10}^{8+(-5)}$ (Using exponent $\frac{{\mathrm{a}}^{\mathrm{m}}}{{\mathrm{a}}^{\mathrm{n}}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}$)

$=9.1\times {10}^3$

Hence, the product (in scientific notation) is $9.1\times {10}^3$ .