How do you write 9.056 times 10^-4 in standard notation?

Aug 30, 2017

$9.056 \times {10}^{- 4} = 0.0009056$

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 $9.056 \times {10}^{- 4}$, we need to move decimal digit to the left by four points. For this, let us write $4.5$ as $00009.056$ and moving decimal point four points to left means $0.0009056$

Hence in standard notation $9.056 \times {10}^{- 4} = 0.0009056$