1. Understanding Division and Dividing With Decimals
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2. For Learning To Happen:
Remove all other thoughts from your mind.
Pay close attention.
Try all the examples.
Ignore all other distractions.
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3. copyright©amberpasillas2010
Understanding Division
This block
represents 1/100
or 1 square.
This flat
represents 1 whole.
or 100 squares.
This rod
represents 1/10
or 10 squares.
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4. copyright©amberpasillas2010
Understanding Division
0.01
1 hundredth
1.0
0.1
1 whole
1 tenth
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5. How many rods fit into a flat?
Understanding Division
Flat 10
How many rods fit into a flat?
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6. How many blocks fit into a flat?
Understanding Division
100
Flat
How many blocks fit into a flat?
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7. How many blocks fit into a rod?
Understanding Division 10
rod
How many blocks fit into a rod?
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Understanding Division
What does 36 ÷ 4 really mean?
How many 4’s does it take to make 36.
Or how many 4’s fit into 36? 9
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Understanding Division
What does 50 ÷ 5 really mean?
How many 5’s does it take to make 50.
Or how many 5’s fit into 50? 10
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Understanding Division
What does 1.2 ÷ 0.1 mean?
How many one tenths does it take to make whole and 2 tenths?
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Understanding Division
What does 1.2 ÷ 0.1 mean?
How many 0.1’s fit to make 1.2?
How many rods are there?
How many one tenths fit to make 1.2? 10 1 1
The answer is 12
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12. copyright©amberpasillas2010
Understanding Division
What does 1.2 ÷ 0.1 mean?
LOOK FOR A PATTERN:
1.2 ÷ 0.1
We get the problem
1 2 ÷ 0 1
If we multiply both sides by 10
BOTH DIVISION PROBLEMS GIVE YOU THE SAME ANSWER!
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13. copyright©amberpasillas2010
Understanding Division
What does 1.02 ÷ 0.1 mean?
How many one tenths does it take to make whole and 2 hundreds?
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14. copyright©amberpasillas2010
Understanding Division
What does 1.02 ÷ 0.1 mean?
How many 0.1’s fit to make 1.02?
How many one tenths fit to make 1.02?
How many rods fit into 1.02? .1
It takes ten full rods and two-tenths of another 10 .1
The answer is 10.2
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15. copyright©amberpasillas2010
Understanding Division
What does 1.02 ÷ 0.01 mean?
How many one hundredths does it take to make whole and 2 hundreds?
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16. Understanding Division
What does 1.02 ÷ 0.01 mean?
How many 0.01’s fit to make 1.02?
How many blocks are there?
How many one hundredths fit to make 1.02? 1
100
The answer is 102 1
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17. copyright©amberpasillas2010
Understanding Division
What does 1.02 ÷ 0.01 mean?
LOOK FOR A PATTERN:
1.02 ÷ 0.01
x 100
= 102
100 x
102 ÷ 01
= 102
Then we get the problem
If we multiply both sides by 100
Notice the answer is the SAME for both problems!
So to make decimal problems easier multiply your decimals by powers of 10 to work with whole numbers instead of decimals.
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18. copyright©amberpasillas2010
Dividing With Decimals
There are many ways to write a division problem.
There are two symbols , /
24  2 = 12
24 / 2 = 12
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19. Dividing With Decimals
There are 2 types of division problems involving decimal points:
1.) NO decimal in the divisor
Divide  8
2.) YES Decimal in the divisor
Divide  0.8
Divisor Dividend
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20. TRICK FOR LONG DIVISION
Dividing With Decimals
TRICK FOR LONG DIVISION
Dead Monkeys Smell Bad
IVIDE
ULTIPLY
RING
DOWN
UBTRACT
Daffodils Make Spring Beautiful
Dad Mom Sister Brother
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Dividing With Decimals
Divide  3 =
0.27  3
0.09
0.27
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22. copyright©amberpasillas2010
Dividing With Decimals
Divisor Dividend
Divide  3
Step 1: Write the problem in the long division format 9 .
Step 2: Move the decimal point in the dividend straight up into the quotient
0 0 2 7 27
Step 3: Divide as usual
TRICK: Dead Monkeys Smell Bad!
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Dividing With Decimals
Divide  2 =
0.14  2
0.07
0.14
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24. copyright©amberpasillas2010
Dividing With Decimals
LOOK FOR A PATTERN
When dividing a decimal by a decimal,
multiply both numbers by a power of 10 so
you can divide by a whole number.
To decide which power of 10 to multiply by, look at
the denominator. The number of decimal places
represents the number of zeros after the 1 in
the power of 10.
1.32
0.4
1.32
0.4 10
13.2 4 = =
1 decimal place
1 zero
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25. copyright©amberpasillas2010
Dividing With Decimals
Divide ÷ 0.22
0.22 )0.352
0.22 has two decimal places so multiply both numbers by 100 to make the divisor a whole number. 1 .6 1
22 )35.2
- 22
Then divide as usual. 1 3 2 2 13
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26. copyright©amberpasillas2010
Dividing With Decimals
Dividend  Divisor
Step 1: Write the problem in the traditional long division
Divide 0.75  0.15
Step 2: Move the decimal point in the divisor to the far right of the divisor . 5 . .
Step 3: Move the decimal point the SAME number of places in the dividend
0 0 7 5 75
Step 4: Move the decimal point in the dividend straight up into the quotient
Step 5: Divide as usual
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27. copyright©amberpasillas2010
Dividing With Decimals
Divide 0.45 ÷ 0.25
0.25 has two decimal places so multiply both numbers by 100 to make the divisor a whole number.
0.25 )0.45 1 8
25 )45
Then divide as usual.
- 25 2
– 200
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28. Take out your Study Guide!
That’s All Folks!
THE END!!!
Take out your Study Guide!
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29. NO decimal point in the divisor. #8
Divisor Dividend
Divide  3
Step 1: Write the problem as long division. 9 .
Step 2: Move the decimal point in the dividend straight up.
0 0 2 7 27
Step 3: Divide as usual
TRICK: Dead Monkeys Smell Bad!

30. Divide Decimals . #9 Divide 0.42  0.6 . . . . Dividend  Divisor 7
Step 1: Write as long division
Yes, decimal point in the divisor.
Step 2: Make the divisor a whole number by moving the decimal point to the far right . 7 . . . .
Step 3: Inside the dividend move the decimal point the SAME NUMBER of places
0 0 4 2 42
Step 4: Move the decimal point from the dividend straight up
Step 5: Divide