# How do you write 2.74times10^-5 in standard form?

Sep 9, 2016

$2.74 \times {10}^{- 5} = 0.0000274$

#### 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 $10$.

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

To write the number in normal or standard notation one just needs to multiply by the power ${10}^{n}$ (or divide if $n$ is negative). This means moving decimal $n$ digits to right if multiplying by ${10}^{n}$ and moving decimal $n$ digits to left if dividing by ${10}^{n}$ (i.e. multiplying by ${10}^{- n}$).

In the given case, as we have the number as $2.74 \times {10}^{- 5}$, we need to move decimal digit to the left by five points. For this, let us write $2.74$ as $000002.74$ and moving decimal point five points to left means $0.0000274$

Hence in standard notation $2.74 \times {10}^{- 5} = 0.0000274$