copyright©amberpasillas2010 decimals understanding division and dividing with decimals

copyright©amberpasillas2010

DECIMALSUnderstanding Division

andDividing With Decimals


• Remove all other thoughts from your mind.• Pay close attention.• Try all the examples.• Ignore all other distractions.

For Learning To Happen:


This flat represents 1 whole.or 100 squares.

This rod represents 1/10or 10 squares.

This block represents 1/100or 1 square.

Understanding Division


1.01 whole

0.1

0.01

1 tenth

1 hundredth



How many rods fit into a flat?Flat 10



How many blocks fit into a flat?

100

Flat



How many blocks fit into a rod?rod

10



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


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


What does 1.2 ÷ 0.1 mean?

How many one tenths does it take to make 1 whole and 2 tenths?



What does 1.2 ÷ 0.1 mean? How many 0.1’s fit to make 1.2?

10 1 1The answer is 12

How many rods are there?


How many one tenths fit to make 1.2?


What does 1.2 ÷ 0.1 mean? LOOK FOR A PATTERN:

1.2 ÷ 0.1

If we multiply both sides by 10

We get the problem 1 2 ÷ 0 1


BOTH DIVISION PROBLEMS GIVE YOU THE SAME ANSWER!



How many one tenths does it take to make 1 whole and 2 hundreds?




The answer is 10.2

It takes ten full rods and two-tenths of another

10

.1

.1

How many rods fit into 1.02?


How many one tenths fit to make 1.02?



How many one hundredths does it take to make 1 whole and 2 hundreds?




The answer is 102100

1

1

How many blocks are there?


How many one hundredths fit to make 1.02?



Notice the answer is the SAME for both problems!

LOOK FOR A PATTERN:1.02 ÷ 0.01

If we multiply both sides by 100

Then we get the problem 102 ÷ 01


x 100 100 x = 102

= 102

So to make decimal problems easier multiply your decimals by powers of 10 to work with whole numbers instead of decimals.


24 2 = 12

There are many ways to write a division problem.

There are two symbols , /

24 / 2 = 12

Dividing With Decimals


There are 2 types of division problems involving decimal points:

1.) NO decimal in the divisor

2.) YES Decimal in the divisor

Divisor Dividend

Divide 0.32 8

Divide 0.32 0.8



TRICK FOR LONG DIVISION Dead Monkeys Smell Bad

ULTIPLY

IVIDE

UBTRACT

RING DOWN Daffodils Make Spring

Beautiful Dad Mom Sister Brother



Divide 0.27 3

0.27 0.27 3

=

0.09



Divide 0.27 3

3 0 . 27. 0

0 02 7

9

27 0

Divisor Dividend

Step 2: Move the decimal point in the dividend straight up into the quotient

Step 3: Divide as usual

Step 1: Write the problem in the long division format

TRICK: Dead Monkeys Smell Bad!



Divide 0.14 2

0.14 0.14 2

=

0.07



LOOK FOR A PATTERNWhen 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 atthe denominator. The number of decimal places represents the number of zeros after the 1 in the power of 10. 13.2

4=1.32

0.4= 1.32

0.4

1 decimal place 1 zero

1010



Divide 0.352 ÷ 0.22

0.22 has two decimal places so multiply both numbers by 100 to make the divisor a whole number.

0.22 )0.352

22 )35.2

Then divide as usual.

1

- 22 32

.6

20


1

1

13


Dividend Divisor

Divide 0.75 0.15 Step 2: Move the decimal point in the divisor to the far right of the divisor


Step 1: Write the problem in the traditional long division

015 0 75. 0

0 075

5

75 0

Step 3: Move the decimal point the SAME number of places in the dividendStep 4: Move the decimal point in the dividend straight up into the quotient

. .



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

25 )45Then divide as usual.

1

- 25 0

8

– 2000


2

0

0


THE END!!!

That’s All Folks!

Take out your Study Guide!


NO decimal point in the divisor.

Divide 0.27 3

3 0. 27. 0

0 02 7

9

27 0

#8 Divisor Dividend

Step 2: Move the decimal point in the dividend straight up.


Step 1: Write the problem as long division.

TRICK: Dead Monkeys Smell Bad!


Divide Decimals

Step 2: Make the divisor a whole number by moving the decimal point to the far right

Step 5: Divide

Step 1: Write as long division

Divide 0.42 0.6

0 6 0 4 2. 0

0 042

7

42 0

Step 3: Inside the dividend move the decimal point the SAME NUMBER of places

Step 4: Move the decimal point from the dividend straight up

. .. .

#9Dividend Divisor

Yes, decimal point in the divisor.

copyright©amberpasillas2010 decimals understanding division and dividing with decimals

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