# How do you write 23,000,000 in scientific notation?

Mar 30, 2015

Normalized scientific notation is in the form:
$a \times {10}^{n}$
$a$ is a value $\ge 0$ and $< 10$
and $n$ is an integer

Since
$23 , 000 , 000 = 23 \times 1000 , 000$
or $2.3 \times 10 , 000 , 000$
and
since
$10 , 000 , 000 = {10}^{7}$

$23 , 000 , 000$ in normalized scientific notation $= 2.3 \times {10}^{7}$

Aug 8, 2018

$2.3 \cdot {10}^{7}$

#### Explanation:

The key realization is that when we write numbers in scientific notation, we want one digit before the decimal point.

In our case, we must loop it $7$ times to the left. The number of times we loop it is our exponent, and looping left makes it positive. Thus, we have

$2.3 \cdot {10}^{7}$

Hope this helps!