Scientific Notation 2

Algebra Level 2

Solve the following equation and answer in scientific notation:

$X = \left[\left(1\times10^{-10}\right)\times\left(6.5\times10^{-2}\right)\right]\div\left[8.4\times10^{-14}\right].$

0.77\times 10^2

7.7\times 10^1

77

0.77\times 10^{-2}

2 solutions

Jordan Calmes
Apr 4, 2016

Remove parentheses and rearrange terms in the numerator and denominator: $[1*6.5*10^{-2}*10^{-10}]\div[8.4*10^{-14}]$

Apply the exponent rule for multiplication: $[6.5*10^{-12}]\div[8.4*10^{-14}]$

Apply the exponent rule for division: $[6.5*10^{2}]\div[8.4]$

Divide: $6.5\div8.4=0.77$ , so now we have $0.77*10^{2}$

Put into standard format with one numeral before the decimal point: $7.7*10^1$

Lâm Lê
Oct 5, 2020

You don't actually need to work out the answer for this question. Answer B ( $7.7\times10^1$ ) is the only answer that is in correct scientific notation.

Scientific Notation 2

2 solutions

0 pending reports