Question

HELP ME!!! Answer in Scientific Notation and explain and show work.

Answer 1

Multiplying means you add the exponents and dividing means you subtract the exponents. Treat the decimals as you normally would.
$(4.3 \times {10}^{8} ) \times (2.0 \times {10}^{6} )$
$4.3 \times 2.0 = 8.6$
$8 + 6 = 14$
$8.6 \times {10}^{14}$

$(6 \times {10}^{3} ) \times (1.5 \times {10}^{ - 2} )$
$6 \times 1.5 = 9$
$3 + - 2 = 1$
$9 \times {10}^{1}$


$(1.5 \times {10}^{ - 2} ) \times (8.0 \times {10}^{ - 1} )$
$1.5 \times 8 = 12$
$- 2 + - 1 = - 3$
$12 \times {10}^{ - 3}$


$\frac{(7.8 \times {10}^{3}) }{(1.2 \times {10}^{4}) }$
$\frac{7.8}{1.2} = 6.5$
$3 - 4 = - 1$
$6.5 \times {10}^{ - 1}$


$\frac{(8.1 \times {10}^{ - 2} )}{(9.0 \times {10}^{2} )}$
$\frac{8.1}{9.0} = 0.9$
$- 2 - 2 = - 4$
$0.9 \times {10}^{ - 4}$


$\frac{6.48 \times {10}^{5} }{(2.4 \times {10}^{4} )(1.8 \times {10}^{ - 2}) }$
$2.4 \times 1.8 = 4.32$
$4 + - 2 = 2$
$\frac{6.48 \times {10}^{5} }{4.32 \times {10}^{2} }$
$\frac{6.48}{4.32} = 1.5$
$5 - 2 = 3$
$1.5 \times {10}^{3}$