More Dividing Decimals by Decimals
What is a Repeating Decimal?
What is a terminating Decimal?
When do I use Bar Notation?
Parts of a division problem
Remember:
Remember:
How do I know where to put a
decimal in partial quotient?
Example# 1 of zero in the quotient:
A decimal that shows a repeating pattern and does not
end – goes on infinitely.
A decimal number that ends or terminate.
Represent a repeating decimal using bar notation. The
bar goes above the number(s) that repeat.
quotient
Divisor| dividend
The divisor cannot have a decimal. Multiply by a
power of 10 or SWOOP to make the divisor a whole
number.
Use zeros as place-holders in the quotient.
1. SWOOP your decimal to make the divisor a
whole number.
2. Divide like you normally would.
3. Once you have found your sum you will need to
place your decimal in your answer. The number
of places after the decimal in your answer
should match the number of places after the
decimal in your dividend.
0.012  0.6
0.6 | 0.012
Need zero
to hold the
tenths
place!
Example #2 of zero in quotient
What if I use long division and there
is a remainder?
What if I use partial quotient and
there is a remainder?
0.02
6 | 0.12
- 12
0
45.05  2.5 = 18.02
* answer is a terminating decimal
If there is a remainder in long division add zeros to the
end of the dividend and bring them down. This can be
done as many times as necessary. Remember to put a
decimal after the ones place.
1. If you have a remainder find the sum of the
partial quotients you have listed.
2. Move the decimal so the decimal places in your
answer matches the number of decimal places in
your dividend.
Example #3 of zero in quotient
Remember:
Example #1 of zero in dividend
3. Add a zero to your last remainder.
4. Find the next partial quotient.
5. Write the partial quotient at the end of the
answer.
6. Continue adding zeros and adding the next
partial quotient to the end of your answer until
you have enough information to solve the
problem.
.844  .12 = 7.03…
* answer is a repeating decimal
No remainders allowed! Instead – keep adding
“Phantom Zeros” to the dividend until an answer is
arrived.
20.7 0.6
A zero here
0.6 | 20.7
doesn’t change
the value of the
dividend, but
helps to solve
the problem.
Example #2 of zero in dividend
Example #3 of zero in dividend
34.5
6 | 207.0
18
27
24
30
30
0
.184  .24 = .76…
* answer is a repeating decimal
32.5  2.6 = 12.5
* answer is terminating decimal
Dividing Decimals by Decimals
What is a Repeating Decimal?
What is a terminating Decimal?
When do I use Bar Notation?
A ______________ that shows a ______________
pattern and does __________ end – goes on
__________________________.
A decimal number that ______________ or
___________________________.
Represent a ___________________ decimal using
_______ notation. The bar goes above the
____________________ that _________________.
Parts of a division problem
|
Remember:
The ______________ cannot have a
_____________. _____________ by a power of 10
or ____________ to make the divisor a
Remember:
How do I know where to put a
decimal in partial quotient?
Example# 1 of zero in the quotient:
_____________ number.
Use _____________ as place-holders in the
_________________.
1. ___________ your decimal to make the
______________ a ____________ number.
2. _____________ like you normally would.
3. Once you have found your ___________ you
will need to___________ your
_____________ in your answer. The number
of _____________ after the _____________
in your ______________ should match the
number of _______________ after the
________________ in your
__________________.
0.012  0.6
0.6 | 0.012
Need zero
to hold the
tenths
place!
Example #2 of zero in quotient
45.05  2.5
What if I use long division and there
is a remainder?
If there is a __________________ in long division
add ______________ to the end of the
_______________ and bring them ___________.
This can be done as many times as __________.
Remember to put a _______________ after the
__________ place.
What if I use partial quotient and
there is a remainder?
Example #3 of zero in quotient
1. If you have a remainder find the __________of
the ______________ quotients you have listed.
2. _______________ the decimal so the decimal
places in your ______________ matches the
number of _____________places in your
______________________.
3. Add a ___________ to your last
_________________.
4. Find the ____________ partial quotient.
5. Write the partial quotient at the ___________
of the ___________________.
6. Continue adding ___________ and writing
the next partial quotient at the __________of
your answer until you have enough
__________________ to __________ the
problem.
.844  .12 =
Example #1 of zero in dividend
20.7 0.6