Copyright©amberpasillas2010 DECIMALS Understanding Division and Dividing With Decimals.
Dividing by Decimals - American Baccalaureate Schoolhandouts.abs.edu.kw/mshs/Assignments...
Transcript of Dividing by Decimals - American Baccalaureate Schoolhandouts.abs.edu.kw/mshs/Assignments...
Dividing by Decimals
Dividing decimals is a lot like
dividing by a whole number.
There is just one thing you need
to remember before dividing:
You have to make the number
outside the house (divisor) a
whole number (A number
without a decimal).
Division Vocabulary
64.122.
“Inside”
Dividend
“Outside”
Divisor
“Roof”
Quotient
Division Vocabulary
64.122.
12.64 ÷ .2
12.64 divided by .2
Steps in Dividing Decimals
1. Make the divisor (outside number) a whole number by
moving (swingin’) the decimal to the right as many places as
it takes to make it a WHOLE NUMBER.
2. In MONKEY TERMS: Whatever the outside monkey does
(how far it swings) the inside monkey does also. Then the
monkey climbs up and sits on the roof!
It’s simple, move the decimal to
the right until it is at the end of
the number.
Here’s the problem: 1.1 ) 6.3
Move the decimal to the right until you
are at the end of the number. In this
case, we only had to move it once.
1.1 ) 6.3
Since we moved the decimal on the divisor (#
outside the house) we HAVE TO move the
decimal in the dividend the same number of
times. In this case it would also be one time.
Our new problem
becomes:
11. ) 63.
11 ) 63
Or
11 ) 63
Now we just divide like
we always do:
What happens if we have a
decimal in the divisor and not
the dividend?
2.14 ) 797
2.14 ) 797
Just remember, the dividend is a
whole number so there is a
decimal at the end of the
dividend that is not there.
2.14 ) 797.The decimal
would go here
since the number
is whole. You
would still have
to move it two
places to the
right.
Is really…
You try this one:
3.4 ) 30.6
You try this one:
.26 ) 3.38
You try this one:
2.5 ) 400
You try this one:
3.21 ) 5.136
Steps in Dividing Decimals –
Swingin’ Monkeys
64.122.
Steps in Dividing Decimals –
Swingin’ Monkeys
64.122.
3. Place (swing) the decimal point in the answer (quotient)
lined up with the decimal point in the dividend (on the roof).
Steps in Dividing Decimals
4. Now, divide as usual!
4.1262
Steps in Dividing Decimals
4. Divide the numbers. Make sure the decimal point stays
lined up.
4.12626
126
2
6
4
3
What is actually happening . . .
• When you move the
decimal one place to
the right to create a
WHOLE number –
you are actually
multiplying it by 10!
• When you move the
decimal two places to
the right to create a
WHOLE number –
you are actually
multiplying it by 100!
• Three?
Your Turn - Practice
1) 14.2 ÷ 0.2 =
2) 25.5 ÷ 1.5 =