# Dividing by decimals Mr. Johnk 2015 ```Dividing by
decimals
Mr. Johnk 2015
•
3
4
=
30
40
=
300
400
• Each of the fractions are equivalent
•
•
3 10 30
x =
4 10 40
10
=1
10
x
10
10
=
300
400
• Any number multiplied by 1 equals that same number!
•
3
4
means 3 &divide; 4
• 3 &divide; 4 can be written
43
• So when we divide by decimals, we just multiply our divisor by
10, 100, 1,000 or some other power of ten to make it a whole
number.
Whatever you multiply
must also do to the
dividend!
divisor dividend
The shortcut is to just move the decimal the
same number of places on each number!
• 64.24 &divide; 0.4
Place the decimal
straight up in the
● quotient
0.4 64.24
You multiplied by
10 so the decimal
is now between
the 2 and 4.
Now just divide 642.4 by 4!
Decimal out of
sight-decimal to
the right!
• 525 &divide; 1.25
bigger or smaller?
●
• 1.25 525 0 0●
4 20●
125 52500 ●
-500
250
- 250
00
• However many times you move the decimal to the right
on the outside, is how many times you have to move it on
the inside!
• How many places would you move the decimal in 76.325
&divide; 0.0357?