# How do you write 0.00194 in scientific notation?

Oct 1, 2016

$0.00194 = 1.94 \times {10}^{- 3}$

#### Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of $10$.

Note that moving decimal $p$ digits to right is equivalent to multiplying by ${10}^{p}$ and moving decimal $q$ digits to left is equivalent to dividing by ${10}^{q}$.

Hence, we should either divide the number by ${10}^{p}$ i.e. multiply by ${10}^{- p}$ (if moving decimal to right) or multiply the number by ${10}^{q}$ (if moving decimal to left).

In other words, it is written as $a \times {10}^{n}$, where $1 \le a < 10$ and $n$ is an integer.

To write $0 , 00194$ in scientific notation, we will have to move the decimal point three points to right, which literally means multiplying by ${10}^{3}$.

Hence in scientific notation $0.00194 = 1.94 \times {10}^{- 3}$ (note that as we have moved decimal three points to right, we have multiplied by ${10}^{3}$ and to compensate we have multiplied by ${10}^{- 3}$.