Question

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

Answer 1

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

Solution:

The given equation is,
`\left(2.77 * 10^(-5)\right) *\left(3.29 * 10^(-4)\right)`

Simplifying the equation we get,
`\left(\left((277)/(100)\right) * 10^(-5)\right) *\left((329)/(100) * 10^(-4)\right)`

`\Rightarrow \left(\left((277)/(10^(2))\right) * 10^(-5)\right) *\left(\left((329)/(10^(2))\right) * 10^(-4)\right)`

`\Rightarrow \left(\left(277 * 10^(-2)\right) * 10^(-5)\right) *\left(\left(329 * 10^(-2)\right) * 10^(-4)\right)`

`\Rightarrow \left(277 *\left(10^(-2) * 10^(-5)\right)\right) *\left(329 *\left(10^(-2) * 10^(-4)\right)\right)`

`\Rightarrow \left(277 * 10^(-2-5)\right) *\left(329 * 10^(-2-4)\right)`

`\Rightarrow \left(277 * 10^(-7)\right) *\left(329 * 10^(-6)\right)`

`\Rightarrow 277 * 329 *\left(10^(-7) * 10^(-6)\right)`

`\Rightarrow 277 * 329 * 10^(-13)`

`\Rightarrow 91133 * 10^(-13) \text { or } 0.0000000091133`