# How do you convert 1550 into scientific notation?

Jul 19, 2015

$1550 = 1.55 \times {10}^{3}$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$(into scientific notation)

#### Explanation:

Scientific notation represents numbers as
$\textcolor{w h i t e}{\text{XXXX}}$a mantissa multiplied by $10$ to an exponent
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$where the "mantissa" is a single non-zero digit followed by a decimal point and a sequence of remaining digits, and
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$the exponent indicates the number of decimal digit locations the decimal point needs to be moved to the right to represent the intended value.

The mantissa for $1550$ is $1.550$

The exponent, the number of places to the right we need to move the decimal point of $1.55$ to the right in order to make it equivalent to $1550$ is 3.