# How to Divide by 100

Video Crash Courses

Want to watch animated videos and solve interactive exercises about dividing by 100? Click here to try the Video Crash Course called “Divide by 10, 100 and Beyond”!

When you need to divide a number by $100$, there’s a great trick you can use!

Rule

When you divide a number by $100$, you move the point in the number two places to the left.

There are three special cases you’ll come across:

1.
If the number is not a decimal number, remember that there is always an invisible point behind the last digit. Then you can move that point two places to the left.
2.
If the number ends in a $0$, moving the point past that makes the $0$ disappear.
3.
If you have to move the point past all the digits of the number, you get empty places at the start of the number that you fill up with $0$.

You’ll use the rule in the box below a lot moving forward. Make sure you understand what it says. Below the box there will be some examples.

Rule

Dividing by $100$ is the same as multiplying by $0.01$:

 $1÷100=\frac{1}{100}=0.01$

The trick of moving the decimal point when dividing by 100, is similar to a trick you can use when multiplying by 100.

Example 1

### Dividing by 100

a)
 $61÷100=\text{}0.61\text{}$
b)
 $\text{}763.4\text{}÷100=\text{}7.634\text{}$
c)
 $20÷100=\text{}0.20\text{}=\text{}0.2\text{}$
d)
 $\text{}0.4\text{}÷100=\text{}0.004\text{}$

Example 2

### Multiplying by $\text{}0.01\text{}$

a)
$\begin{array}{llll}\hfill 61\cdot \text{}0.01\text{}& =61÷100\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =\text{}0.61\text{}\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$

 $61\cdot \text{}0.01\text{}=61÷100=\text{}0.61\text{}$

b)
$\begin{array}{llll}\hfill \text{}763.4\text{}\cdot \text{}0.01\text{}& =\text{}763.4\text{}÷100\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =\text{}7.634\text{}\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$

 $\text{}763.4\text{}\cdot \text{}0.01\text{}=\text{}763.4\text{}÷100=\text{}7.634\text{}$

c)
$\begin{array}{llll}\hfill 20\cdot \text{}0.01\text{}& =20÷100\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =\text{}0.20\text{}=\text{}0.2\text{}\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$

 $20\cdot \text{}0.01\text{}=20÷100=\text{}0.20\text{}=\text{}0.2\text{}$

d)
$\begin{array}{llll}\hfill \text{}0.4\text{}\cdot \text{}0.01\text{}& =\text{}0.4\text{}÷100\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & =\text{}0.004\text{}\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$

 $\text{}0.4\text{}\cdot \text{}0.01\text{}=\text{}0.4\text{}÷100=\text{}0.004\text{}$