# How do you express 8,400,000 in scientific notation?

##### 1 Answer

#### Explanation:

Expressing a number in scientific notation means you will adjust the given number to result a more compact form of the number that may include rounding it off to match the precision of other numbers given.

Scientific notation is a compact way of writing numbers to reduce complicated computations using very large or very small numbers and to reduce errors.

In our example:

To get this result we divided the given larger number repeatedly by 10, dropping a zero each time. While we did that, we added another

Having run out of zeros, we could stop here and not be numerically incorrect, but there is a definition of scientific notation called "normalized" that requires the first digit to reside between

So to become normalized, we must divide our number again by

Remember to add to the exponent.

Then:

If you understand that method the easy way follows:

Place a dot (decimal point) at the right hand side of the original number of

Now move the decimal point to the left counting each time you pass a digit

If you count each

Then: