What is the scientific notation for 8 million?

Jun 25, 2018

$8 \cdot {10}^{6}$

Explanation:

$8$ million is $8000000$, which in turn can be written as $8 \cdot 1000000$

This is exactly the idea behind scientific notation: you are interested in the magnitude of the number (in this case millions), and so you express numbers as a certain coefficient times the most significative magnitude.

In this case we literally say "eight millions", which means that the coefficient is $8$ and the number is of the order of millions in magnitude.

The last step is to write $1000000$ as ${10}^{6}$. In fact, each time we multiply by $10$ we add a zero at the end of the number, so $1000000$ is just a one followed by six zeroes, which means that we multiplied six times by $10$.