DECIMALS Understanding Division and Dividing With Decimals copyrightamberpasillas
DECIMALS Understanding Division and Dividing With Decimals copyright©amberpasillas 2010
For Learning To Happen: • Remove all other thoughts from your mind. • Pay close attention. • Try all the examples. • Ignore all other distractions. copyright©amberpasillas 2010
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. copyright©amberpasillas 2010
Understanding Division 0. 01 1 hundredth 1. 0 1 whole 0. 1 1 tenth copyright©amberpasillas 2010
Understanding Division Flat 10 How many rods fit into a flat? copyright©amberpasillas 2010
Understanding Division 100 Flat How many blocks fit into a flat? copyright©amberpasillas 2010
Understanding Division 10 rod How many blocks fit into a rod? copyright©amberpasillas 2010
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? copyright©amberpasillas 2010 9
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? copyright©amberpasillas 2010 10
Understanding Division What does 1. 2 ÷ 0. 1 mean? How many one tenths does it take to make 1 whole and 2 tenths? copyright©amberpasillas 2010
Understanding Division What does 1. 2 ÷ 0. 1 mean? How many 0. 1’s fit to make 1. 2? How many one tenths fit to make 1. 2? The answer is 12 How many rods are there? 10 copyright©amberpasillas 2010 1 1
Understanding Division What does 1. 2 ÷ 0. 1 mean? LOOK FOR A PATTERN: We get the problem 1. 2 ÷ 0. 1 12÷ 01 If we multiply both sides by 10 BOTH DIVISION PROBLEMS GIVE YOU THE SAME ANSWER! copyright©amberpasillas 2010
Understanding Division What does 1. 02 ÷ 0. 1 mean? How many one tenths does it take to make 1 whole and 2 hundreds? copyright©amberpasillas 2010
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 The answer is 10. 2 copyright©amberpasillas 2010 . 1
Understanding Division What does 1. 02 ÷ 0. 01 mean? How many one hundredths does it take to make 1 whole and 2 hundreds? copyright©amberpasillas 2010
Understanding Division What does 1. 02 ÷ 0. 01 mean? How many 0. 01’s fit to make 1. 02? How many one hundredths fit to make 1. 02? The answer is 102 How many blocks are there? 1 100 copyright©amberpasillas 2010 1
Understanding Division What does 1. 02 ÷ 0. 01 mean? LOOK FOR A PATTERN: 100 x 1. 02 ÷ 0. 01 x 100 = 102 Then we get the problem 102 ÷ 01 = 102 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. copyright©amberpasillas 2010
Dividing With Decimals There are many ways to write a division problem. There are two symbols 24 2 = 12 24 / 2 = 12 copyright©amberpasillas 2010 , /
Dividing With Decimals There are 2 types of division problems involving decimal points: 1. ) NO decimal in the divisor Divide 0. 32 8 2. ) YES Decimal in the divisor Divide 0. 32 0. 8 Divisor Dividend copyright©amberpasillas 2010
Dividing With Decimals TRICK FOR LONG DIVISION Dead Monkeys Smell Bad I V I D E U L T I P L Y U B T R A C T Daffodils Make Spring Beautiful Dad Mom Sister Brother copyright©amberpasillas 2010 R I N G D O W N
Dividing With Decimals Divide 0. 27 3 = 0. 27 3 copyright©amberpasillas 2010 0. 09
Dividing With Decimals Divisor Dividend Divide 0. 27 3. 09 3 0. 27 00 27 27 0 Step 1: Write the problem in the long division format Step 2: Move the decimal point in the dividend straight up into the quotient Step 3: Divide as usual TRICK: Dead Monkeys Smell Bad! copyright©amberpasillas 2010
Dividing With Decimals Divide 0. 14 2 = 0. 14 2 copyright©amberpasillas 2010 0. 07
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 = 1. 32 10 = 13. 2 4 0. 4 10 1 decimal place 1 zero copyright©amberpasillas 2010
Dividing With Decimals Divide 0. 352 ÷ 0. 22 )0. 352 1. 6 1 22 )35. 2 - 22 13 2 0 0. 22 has two decimal places so multiply both numbers by 100 to make the divisor a whole number. Then divide as usual. copyright©amberpasillas 2010
Dividing With Decimals Dividend Divisor 0. 15 0 5. Divide 0. 75 015 00 75 75 0 Step 1: Write the problem in the traditional long division Step 2: Move the decimal point in the divisor to the far right of the divisor 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 Step 5: Divide as usual copyright©amberpasillas 2010
Dividing With Decimals Divide 0. 45 ÷ 0. 25 )0. 45 1 8 25 )450 - 25 2 00 – 200 0 0. 25 has two decimal places so multiply both numbers by 100 to make the divisor a whole number. Then divide as usual. copyright©amberpasillas 2010
That’s All Folks! THE END!!! Take out your Study Guide! copyright©amberpasillas 2010
#8 NO decimal point in the divisor. Divisor Dividend Divide 0. 27 3 Step 1: Write the problem as long division. . 09 Step 2: Move the decimal 3 0. 27 point in the dividend 00 straight up. 27 27 Step 3: Divide as usual 0 TRICK: Dead Monkeys Smell Bad! copyright©amberpasillas 2010
#9 Divide Decimals Dividend Divisor Divide 0. 42 0. 6 Step 1: Write as long division Yes, decimal point in the divisor. Step 2: Make the divisor a whole number by moving the 07 decimal point to the far right . 0. 6. 0. 4. 2 00 42 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 Step 5: Divide copyright©amberpasillas 2010
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