How do you write 0.003 57 in scientific notation?

1 Answer
Jun 21, 2016

0.00357=3.57xx10^(-3)

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 10^p and moving decimal q digits to left is equivalent to dividing by 10^q.

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

In other words, it is written as axx10^n, where 1<=a<10 and n is an integer.

To write 0.00357 in scientific notation, we will have to move the decimal point three points to right, which literally means multiplying by 10^3.

Hence in scientific notation 0.00357=3.57xx10^(-3) (note that as we have moved decimal three point to right we are multiplying by 10^(-3), which is equivalent to dividing by 10^3.