Question

(2.77 x 10^-5)x (3.29 x 10^-4) Perform using scientific notation

Answer 1

Answer:

$\left(2.77 \times 10^{-5}\right) \times\left(3.29 \times 10^{-4}\right) = 91133 \times 10^{-13} \text { or } 0.0000000091133$

Solution:

The given equation is,  $\left(2.77 \times 10^{-5}\right) \times\left(3.29 \times 10^{-4}\right)$

Simplifying the equation we get, $\left(\left(\frac{277}{100}\right) \times 10^{-5}\right) \times\left(\frac{329}{100} \times 10^{-4}\right)$

$\Rightarrow \left(\left(\frac{277}{10^{2}}\right) \times 10^{-5}\right) \times\left(\left(\frac{329}{10^{2}}\right) \times 10^{-4}\right)$

$\Rightarrow \left(\left(277 \times 10^{-2}\right) \times 10^{-5}\right) \times\left(\left(329 \times 10^{-2}\right) \times 10^{-4}\right)$

$\Rightarrow \left(277 \times\left(10^{-2} \times 10^{-5}\right)\right) \times\left(329 \times\left(10^{-2} \times 10^{-4}\right)\right)$

$\Rightarrow \left(277 \times 10^{-2-5}\right) \times\left(329 \times 10^{-2-4}\right)$

$\Rightarrow \left(277 \times 10^{-7}\right) \times\left(329 \times 10^{-6}\right)$

$\Rightarrow 277 \times 329 \times\left(10^{-7} \times 10^{-6}\right)$

$\Rightarrow 277 \times 329 \times 10^{-13}$

$\Rightarrow 91133 \times 10^{-13} \text { or } 0.0000000091133$