How do you write 2.22 times 10 ^ -6 in standard notation?

Jun 11, 2016

In standard notation $2.22 \times {10}^{- 6} = 0.00000222$

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 (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 $2.22 \times {10}^{- 6}$, we need to move decimal digit to the left by six points. For this, let us write $2.22$ as $0000002.22$ and moving decimal point six points to left means $0.00000222$

Hence in standard notation $2.22 \times {10}^{- 6} = 0.00000222$