# How do you write 13,400 in scientific notation?

Mar 30, 2016

$1.3400 \times {10}^{4}$

#### Explanation:

Scientific notation is of a format where there is just 1 non zero value to the left of the decimal point and everything else to the right of it.

By changing the number in this way we change its value. Consequently a mathematical correction is included in the answer but not applied.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given: 13400.0

$\text{ Number Correction}$

$\text{ "13400.0" } \times 1$
$\text{ "1340.0" } \times 10$
$\text{ "134.0" } \times 100$
$\text{ "13.4" } \times 1000$
$\text{ "1.34" } \times 10000$

But instead of writing the correction as $10000$ we write it as${10}^{4}$

So $13400$ is the same value as $1.3400 \times {10}^{4}$