How do you write 66,793 in scientific notation?

1 Answer
Jun 21, 2016

66793=6.6793×104

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 66793 in scientific notation, we will have to move the decimal point four points to left, which literally means dividing by 104.

Hence in scientific notation 66793=6.6793×104 (note that as we have moved decimal four points to left we are multiplying by 104 to compensate for dividing by 104..