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Copyright©amberpasillas2010 DECIMALS Understanding Division and Dividing With Decimals.

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Presentation on theme: "Copyright©amberpasillas2010 DECIMALS Understanding Division and Dividing With Decimals."— Presentation transcript:

1 copyright©amberpasillas2010 DECIMALS Understanding Division and Dividing With Decimals

2 copyright©amberpasillas2010 Remove all other thoughts from your mind. Pay close attention. Try all the examples. Ignore all other distractions. For Learning To Happen:

3 copyright©amberpasillas2010 This flat represents 1 whole. or 100 squares. This rod represents 1/10 or 10 squares. This block represents 1/100 or 1 square. Understanding Division

4 copyright©amberpasillas whole tenth 1 hundredth Understanding Division

5 copyright©amberpasillas2010 How many rods fit into a flat? Flat10 Understanding Division

6 copyright©amberpasillas2010 How many blocks fit into a flat? 100 Flat Understanding Division

7 copyright©amberpasillas2010 How many blocks fit into a rod? rod 10 Understanding Division

8 copyright©amberpasillas2010 What does 36 ÷ 4 really mean? How many 4’s does it take to make 36. Or how many 4’s fit into 36? Understanding Division 9

9 copyright©amberpasillas2010 What does 50 ÷ 5 really mean? How many 5’s does it take to make 50. Or how many 5’s fit into 50? Understanding Division 10

10 copyright©amberpasillas2010 What does 1.2 ÷ 0.1 mean? How many one tenths does it take to make 1 whole and 2 tenths ? Understanding Division

11 copyright©amberpasillas2010 What does 1.2 ÷ 0.1 mean? How many 0.1’s fit to make 1.2? 1011 The answer is 12 How many rods are there? Understanding Division How many one tenths fit to make 1.2?

12 copyright©amberpasillas2010 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 Understanding Division BOTH DIVISION PROBLEMS GIVE YOU THE SAME ANSWER!

13 copyright©amberpasillas2010 What does 1.02 ÷ 0.1 mean? How many one tenths does it take to make 1 whole and 2 hundreds ? Understanding Division

14 copyright©amberpasillas2010 What does 1.02 ÷ 0.1 mean? How many 0.1’s fit to make 1.02? The answer is 10.2 It takes ten full rods and two-tenths of another 10.1 How many rods fit into 1.02? Understanding Division How many one tenths fit to make 1.02?

15 copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? How many one hundredths does it take to make 1 whole and 2 hundreds ? Understanding Division

16 copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? How many 0.01’s fit to make 1.02? The answer is How many blocks are there? Understanding Division How many one hundredths fit to make 1.02?

17 copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? 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 Understanding Division x x = 102 So to make decimal problems easier multiply your decimals by powers of 10 to work with whole numbers instead of decimals.

18 copyright©amberpasillas  2 = 12 There are many ways to write a division problem. There are two symbols , / 24 / 2 = 12 Dividing With Decimals

19 copyright©amberpasillas2010 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 Dividing With Decimals

20 copyright©amberpasillas2010 TRICK FOR LONG DIVISION D ead M onkeys S mell B ad ULTIPLYULTIPLY IVIDEIVIDE UBTRACTUBTRACT RINGDOWNRINGDOWN D affodils M ake S pring B eautiful D ad M om S ister B rother Dividing With Decimals

21 copyright©amberpasillas2010 Divide 0.27   3 = 0.09 Dividing With Decimals

22 copyright©amberpasillas2010 Divide 0.27  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 ! Dividing With Decimals

23 copyright©amberpasillas2010 Divide 0.14   2 = 0.07 Dividing With Decimals

24 copyright©amberpasillas2010 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 = = decimal place1 zero 10 Dividing With Decimals

25 copyright©amberpasillas2010 Divide ÷ has two decimal places so multiply both numbers by 100 to make the divisor a whole number ) ) Then divide as usual. 1  Dividing With Decimals

26 copyright©amberpasillas2010 Dividend  Divisor Divide 0.75  0.15 Step 2: Move the decimal point in the divisor to the far right of the divisor Step 5: Divide as usual Step 1: Write the problem in the traditional long division Step 3: Move the decimal point the SAME number of places in the dividend Step 4: Move the decimal point in the dividend straight up into the quotient.. Dividing With Decimals

27 copyright©amberpasillas2010 Divide 0.45 ÷ has two decimal places so multiply both numbers by 100 to make the divisor a whole number ) ) 45 Then divide as usual. 1  – Dividing With Decimals 2 0 0

28 copyright©amberpasillas2010 THE END!!! That’s All Folks! Take out your Study Guide!

29 copyright©amberpasillas2010 NO decimal point in the divisor. Divide 0.27  #8 Divisor Dividend Step 2: Move the decimal point in the dividend straight up. Step 3: Divide as usual Step 1: Write the problem as long division. TRICK: Dead Monkeys Smell Bad !

30 copyright©amberpasillas2010 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  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.... #9 Dividend  Divisor Yes, decimal point in the divisor.


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