Question

MULTIPLYING AND DIVIDING IN SCIENTIFIC NOTATION

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

$5\times (7\times {10}^7)$

Answer 1

Find product

$5\times (7\times {10}^7)$ (Multiplication of real number is Associative)

$=(5\times 7)\times {10}^7$

$=35\times {10}^7$

$=3.5\times {10}^1\times {10}^7$ (Using exponent ${\mathrm{a}}^{\mathrm{m}}\times {\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$)

$=3.5\times {10}^8$