Dividing Decimal Numbers

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Transcript Dividing Decimal Numbers

Name __________________________
Learning Objective
Today, we will divide decimal numbers.
CFU
What are we going to do today?
Activate (or provide) Prior Knowledge
Long Division
Long division is a process used to divide numbers.
 The quotient is the answer to a division problem.
 The dividend is the number being divided.
 The divisor is the number we divide by.
quotient
divisor dividend
Identify each part of the division problem below.
1.
14
7 98
7
28
28
0
2.
14
Quotient: ______
Dividend: ______
98
Divisor: ______
7
12
8 96
8
16
16
1
2
Quotient: ______
96
Dividend: ______
Divisor: ______
8
0
CFU
Students, you already know the parts of a long division problem. Today, we will use this skill to divide decimal numbers.
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5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Concept Development
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
• If the divisor is a decimal number, move the decimal point to the
right until it becomes a whole number.
 The decimal point in the dividend will move the same number of places.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6 7.2
divisor dividend
Dividing Decimal Numbers
Dividing $3.75 between 3 friends
Dividing a 7.2 ft rope into 0.6 ft pieces
1.25
3 3.75
0.6 7.2
The divisor is a whole number.
We can begin long division.
12
6. 72.
The divisor is NOT a whole number.
Move the decimal point one place.
CFU
Which situation below can we use division to solve? How do you know?
A sharing 28 marbles equally between 4 friends
B counting 4 bags of marbles containing 7 in each bag
Which is the correct long division form of 27.6 ÷ 3? How do you know?
A
27.6 3
B
Flashcards
Change to Long Division
3 27.6
In which problem can we begin long division? Why are the others not ready?
A 0.7 16.1
B 1.1 2.64
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C
4 37.2
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Flashcards
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
Decimal Number Divisor
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1. 19.5 ÷ 3
2. 9.8 ÷ 7
6 .5
3 19.5
– 18
15
–1 5
0
1 .4
7 9.8
– 7
28
–2 8
0
CFU
(#3) How did I/you divide the decimal numbers?
(#4) How did I/you know where to put the decimal point in the quotient?
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5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
3.
1 2.6
0.6. 7.56
.
–6
1 5
–1 2
36
–3 6
0
4.
0.6
7.2
divisor dividend
1 7.3
0.5. 8.65
.
–5
3 6
–3 5
15
–1 5
0
CFU
(#2) How did I/you change the divisor into a whole number?
(#3) How did I/you divide the decimal numbers?
(#4) How did I/you know where to put the decimal point in the quotient?
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5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
5.
1 9 3.7
0.03. 5.811
.
–3
2 8
–2 7
11
– 9
21
– 21
0
6.
0.6
7.2
divisor dividend
6 3 8.
0.02. 12.76.
– 12
07
– 6
16
– 16
0
CFU
(#2) How did I/you change the divisor into a whole number?
(#3) How did I/you divide the decimal numbers?
(#4) How did I/you know where to put the decimal point in the quotient?
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
7.
2. 4
1.1. 2.64
.
– 22
44
– 44
0
8.
0.6
7.2
divisor dividend
2. 3
1.2. 2.76
.
– 24
36
– 36
0
CFU
(#2) How did I/you change the divisor into a whole number?
(#3) How did I/you divide the decimal numbers?
(#4) How did I/you know where to put the decimal point in the quotient?
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Relevance
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
1. Dividing decimal numbers will help you find more precise1 answers.
1
exact
Juan bought 5.2 pounds of almonds. He shared
them equally with his sister. How many pounds of
almonds did they each get?
They each got
2.6 pounds of almonds.
2.6
2 5.2
4
12
1 2
0
2. Dividing decimal numbers will help you do well on tests.
Sample Test Question
21. 15.12 ÷ 2.4
A
0.513
B
0.63
C
5.13
D
6.3
CFU
Does anyone else have another reason why it is relevant to divide decimal numbers? (pair-share) Why is it relevant to divide decimal
numbers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why?
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5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
Skill Closure
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1. 8.4 ÷ 6
.
6 8.4
6
2.
14
0.6
7.2
divisor dividend
.
0.4 6.8.4
4
17 1
28
28
04
4
0
24
24
0
Constructed Response Closure
Victor is cutting a 12.5 cm piece of string into pieces that
are 2.5 cm. Explain why division would help him find the
number of pieces he is able to cut.
Summary Closure
What did you learn today about dividing decimal
numbers?
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Day 1 ________________________________________
Day 2 ________________________________________
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name _____________________________
To divide is to separate a number into equal groups.
Change to
To divide decimal numbers, the problem must be in long division form.
Long Division Form
• To begin long division, the divisor must be a whole number.
Independent Practice
quotient
7.2 ÷ 0.6 0.6
7.2
Divide decimal numbers.
divisor dividend
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
2.
1. 34.5 ÷ 5
6 .9
5 34.5
– 30
45
–4 5
0
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1 5.1
0.6. 9.06
.
–6
3 0
–3 0
06
– 6
0
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name _____________________________
To divide is to separate a number into equal groups.
Change to
To divide decimal numbers, the problem must be in long division form.
Long Division Form
• To begin long division, the divisor must be a whole number.
Independent Practice (continued)
quotient
Divide decimal numbers.
7.2 ÷ 0.6 0.6
7.2
divisor dividend
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
3.
1 8 5.6
0.04. 7.424
.
–4
3 4
–3 2
22
– 20
24
– 24
0
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4.
2.7
1.2. 3.24
.
– 24
84
– 84
0
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name _____________________________
To divide is to separate a number into equal groups.
Change to
To divide decimal numbers, the problem must be in long division form.
Long Division Form
• To begin long division, the divisor must be a whole number.
quotient
Periodic Review 1
7.2 ÷ 0.6 0.6
7.2
Divide decimal numbers.
divisor dividend
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
. .
1.
0 7 9 17
4.
0 0 5 8 71 5
.
.
.
.
13 1
7 91 7
7
21
21
07
7
0
2.
.
.
1 74 3
5 8 71 5
5
37
35
21
20
15
15
5.
.
0.8 9 2. 0
92  0 8 =
.
94 2  20 =
.
20 9 4 2
.
.
3.
.
.
6.
1 15
8 920
8
12
8
40
40
0
04 71
20 9 4 2 0
80
14 2
140
20
20
0
.
.
1 2
6 7 2
6
12
12
0
. .
1 4 4 76
.
.
03 4
14 4 7 66
42
5 6
56
0
0
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5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name _____________________________
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
Change to
• To begin long division, the divisor must be a whole number.
Long Division Form
Periodic Review 2
quotient
Divide decimal numbers.
7.2 ÷ 0.6 0.6
7.2
divisor dividend
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
. .
1.
1 3 4 03
4.
78 5  25 =
.
.
25 7 8 5
.
.
03 1
13 4 0 3
39
13
13
0
.
.
03 14
25 7 8 5 0
75
3 5
25
100
100
0
. .
2.
0 4 5 68
5.
1 7
58 5
5
3 5
35
0
.
.
.
.
14 2
4 5 6 88
4
16
16
08
8
0
3.
6.
.
0.6 8 7. 0
87  0 6 =
.
.
0 0 6 9 7 32
.
.
1 45
6 870
6
27
24
30
30
0
.
.
162 2
6 973 2
6
37
36
13
12
12
12
0
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©2012 All rights reserved.
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5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name _____________________________
To divide is to separate a number into equal groups.
Change to
To divide decimal numbers, the problem must be in long division form.
Long Division Form
• To begin long division, the divisor must be a whole number.
Periodic Review 3
quotient
7.2 ÷ 0.6 0.6
Divide decimal numbers.
7.2
divisor dividend
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers. Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1.
4.
.
.
2.
1 3
79 1
7
21
21
0
.
.
0 0 3 5 373
.
.
1 79 1
3 537 3
3
23
21
27
27
0 3
3
0
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5.
.
.
.
0.4 7 0. 0
1 75
4 700
4
30
28
20
20
0
. .
13 1
6 78 6
6
18
18
0 6
6
0
70  0 4 =
0 6 7 86
.
.
. .
3.
1 2 5 64
6.
97 2  15 =
.
.
15 9 7 2
.
.
04 7
12 5 6 4
48
8 4
84
0
.
.
0 6 48
15 9 7 22 0
90
7 2
60
12 0
120
0
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Change to Long Division)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Teacher
with CFU
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Change the problem to long division.
9.8 ÷ 7
7 9.8
How did I change the problem to long division?
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Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Change to Long Division)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Student
with CFU
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Change the problem to long division.
19.5 ÷ 3
3 19.5
How did you change the problem to long division?
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Change to Long Division)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Student
Change the problem to long division.
7.56 ÷ 0.6
0.6 7.56
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5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Change to Long Division)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Student
Change the problem to long division.
8.65 ÷ 0.5
0.5 8.65
DataWORKS Educational Research
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Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Change to Long Division)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Student
Change the problem to long division.
2.64 ÷ 1.1
1.1 2.64
DataWORKS Educational Research
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Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Change to Long Division)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Student
with CFU
Change the problem to long division.
2.76 ÷ 1.2
1.2 2.76
How did you change the problem to long division?
Back to Concept
Development
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©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Decimal Number Divisor)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Teacher
with CFU
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Change the divisor into a whole number
.
1.2. 2.76
How did I change the change the
divisor into a whole number?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Decimal Number Divisor)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Student
with CFU
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Change the divisor into a whole number
.
1.1. 3.74
How did you change the change the
divisor into a whole number?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Decimal Number Divisor)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Student
Change the divisor into a whole number
0.5. 8.65
.
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Decimal Number Divisor)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Student
Change the divisor into a whole number
.
0.6. 7.56
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Decimal Number Divisor)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Student
Change the divisor into a whole number
.
0.03. 7.811
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Flashcard (Decimal Number Divisor)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
Change to
Long Division Form
quotient
7.2 ÷ 0.6
0.6
7.2
divisor dividend
Student
with CFU
Change the divisor into a whole number
.
0.02. 1.276
How did I change the change the
divisor into a whole number?
Back to
Skill Development
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
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DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative integers; subtract
positive integers from negative integers; and verify the reasonableness of the results.
Demonstrate proficiency with division, including division with positive decimals and long
division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.