# How do you write 3.6 times 10^-5 in standard form?

Mar 9, 2018

0.000036

#### Explanation:

When multiplying a number by 10 to the power of a positive exponent (e.g. ${10}^{3}$), move the decimal in the number that many spaces to the right (e.g. $4.5 \cdot {10}^{3} = 4500$).
When multiplying a number by 10 to the power of a negative exponent (e.g. ${10}^{-} 4$), move the decimal in the number (the absolute value of) that many spaces to the left (e.g. $4.5 \cdot {10}^{-} 4 = 0.00045$).
For $3.6 \cdot {10}^{-} 5$, move the decimal five spaces to the left:
0.000036

Mar 9, 2018

0.000036

#### Explanation:

The standard form is just the normal method of depicting a number. To get from scientific notation to standard form, you would multiply the number from the scientific notation by the increasing / decreasing factor (${10}^{n}$). When the factor decreases, the 10 is raised to a negative power and the decimal moves to the left n amount of times (example the ${10}^{-} 5$ moves your decimal in 3.6 over to the left 5 times leaving you with 0.000036). The opposite is true for increasing factors.