Question

How do you rewrite using scientific notation: 0.003?

Answer 1

Hint: As we know that in scientific notation we express the numbers that are too big or too small in the convenient decimal form. To solve this question we use the general form of writing the scientific notation which is given as $N\times {{10}^{m}}$
Where, $N$ is the number between 1 and 10 and $m$ is any integer either positive or negative.

Complete step-by-step solution:
We have to rewrite $0.003$ using scientific notation.
We know that scientific notation is the method of expressing any numbers that are too big or too small in the convenient decimal form.
In scientific notation all numbers are written in the general form $N\times {{10}^{m}}$.
Where, $N$ is the number between 1 and 10 and $m$ is any integer either positive or negative.
Now, we have to write $0.003$ in scientific notation.
So by using the general form we need to shift the decimal point to the right of $0.003$ up to 3 places and we get the negative exponent for the 10. Then we will get
$\Rightarrow 3\times {{10}^{-3}}$
Hence above is the required scientific notation.

Note: The point to remember is that if the given number is greater than 1 then the decimal point has to move to the left and power of 10 will be positive. If the given number is smaller than 1 then the decimal point has to move to the right and power of 10 will be negative.