# How do you write 0.045 in scientific notation?

Nov 9, 2015

$4.5 \times {10}^{-} 2$

#### Explanation:

Move the decimal until you have the smallest whole number you can get.
What ever direction you move the decimal will tell you if it is a positive or negative exponent. In this case it was less than 1, therefore it will be a negative exponent.
Had the number been greater than one, it would've been a positive exponent.

Nov 9, 2015

0.045
$= 4.5 \times {10}^{-} 2$
4.5 is called the initial number or coefficient

#### Explanation:

In writing scientific notations, the initial numbers should follow the General Standard Formula: $1 \le M < 10$, where M is the initial number. Just remember when you move the decimal point to the left, the exponent carries a negative sign. Use this mnemonic: LIP to mean " Left Is Negative "...