Question

How do you write 67.2 million in scientific notation?

Answer 1

`67.2` million is `6.72xx10^7` in scientific notation.

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.

Now `67.2` million is `67.2xx1000000`

= `6.72xx10000000`

= `6.72xx10^7`