# How do you write 0.00206 in scientific notation?

Oct 31, 2015

$2.06 \times {10}^{- 3}$

#### Explanation:

When writing a number $a$ in scientific notation, we write it in the form

$a ' \times {10}^{b}$

where

$1 \le a ' < 10$

To do this, we shift $a$'s decimal point such that we satisfy the above condition. The amount of shift of would translate to the value of $b$ while the direction of the shift would translate to the sign. Shifting the decimal point to the right means $b$ is negative. On the other hand, shifting the decimal point to the left would mean $b$ is positive

Using the given number in the question as an example:

$a = 0.00206$

$a ' = 2.06$

To get $a '$, we shifted the decimal point 3 places to the right.
This means

$b = - 3$

Hence,

$0.00206 = 2.06 \times {10}^{-} 3$