# How do you express 56,700,000 in scientific notation?

Feb 20, 2017

$56 , 700 , 000 = 5.67 \times {10}^{7}$

#### 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 $a \times {10}^{n}$, where $1 \le a < 10$ and $n$ is an integer.

To write $56 , 700 , 000$ in scientific notation, we will have to move the decimal point seven points to the left, which literally means dividing by ${10}^{7}$.

Hence in scientific notation $56 , 700 , 000 = 5.67 \times {10}^{7}$ (note that as we have moved decimal seven points to the left we are multiplying by ${10}^{7}$.

May 11, 2017

A = $5.67 \cdot {10}^{7}$

#### Explanation:

Generally scientific notation is as follows:

Have a large integer $a b c 00000$
When we have scientific notation, we normally take the first digit of the integer, $a$ and then place a decimal point then putting the digits $b$ and $c$.

Furthermore, we then find out the total amount of digits need to create the number by using the following formula:

=

$\text{0m} + 2$

Where:

$\text{m}$ = "amount of"

All the best!

Aug 8, 2018

$5.67 \cdot {10}^{7}$

#### 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

$5.67 \cdot {10}^{7}$

Hope this helps!