How do you write 0.0045 in scientific notation?

1 Answer
Jun 10, 2016

0.0045=4.5×103

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.

Note that moving decimal p digits to right is equivalent to multiplying by 10p and moving decimal q digits to left is equivalent to dividing by 10q.

Hence, we should either divide the number by 10p i.e. multiply by 10p (if moving decimal to right) or multiply the number by 10q (if moving decimal to left).

In other words, it is written as a×10n, where 1a<10 and n is an integer.

To write 0,0045 in scientific notation, we will have to move the decimal point three point to right, which literally means multiplying by 1000=103.

Hence in scientific notation 0.0045=4.5×103 (note that as we have moved decimal three point to right we are multiplying by 103.