Transcript
MultiplicationLearn to:Multiply
The properties of MultiplicationMake an ARRAY
Multiplication Terminologies
MultiplicationThe result of multiplication is the total number (product) that would be obtained by combining several (multiplier) groups of similar size (multiplicand).
Multiplication
3 x 4 = 12
The result of multiplication is the total number (product) that would be obtained by combining several (multiplier) groups of similar size (multiplicand).
Multiplication
3 x 4 = 12Multiplicand
The result of multiplication is the total number (product) that would be obtained by combining several (multiplier) groups of similar size (multiplicand).
Multiplication
3 x 4 = 12Multiplicand
Multiplier
The result of multiplication is the total number (product) that would be obtained by combining several (multiplier) groups of similar size (multiplicand).
Multiplication
3 x 4 = 12Multiplicand
Multiplier
Product
The result of multiplication is the total number (product) that would be obtained by combining several (multiplier) groups of similar size (multiplicand).
Multiplication
3x 4 1 2
Multiplication
3x 4 1 2
Multiplicand
Multiplier
Product
Factors
Multiplication vs. Addition
Multiplication vs. Addition
3 + 3 + 3 + 3 = 12
Multiplication vs. Addition
3 + 3 + 3 + 3 = 12
Multiplication vs. Addition
3 + 3 + 3 + 3 = 12
3 x 4 = 12
Multiplication vs. Addition
3 + 3 + 3 + 3 = 12
3 x 4 = 12
4 x 3 = 12
Multiplication vs. Addition
3 + 3 + 3 + 3 = 12
3 x 4 = 12
4 x 3 = 12
Multiplication!
Multiplication!Combining several groups with same size
Multiplication!Combining several groups with same size
Multiplication!Combining several groups with same size
Three groups of four, twelve total :)
Multiplication!Combining several groups with same size
Three groups of four, twelve total :)
3 x 4 = 12
MultiplicationYou try it...
MultiplicationYou try it...
_________ Groups of ________, total of _________
MultiplicationYou try it...
_________ Groups of ________, total of _________Six
MultiplicationYou try it...
_________ Groups of ________, total of _________Six Two
MultiplicationYou try it...
_________ Groups of ________, total of _________Six Two Twelve
MultiplicationYou try it...
_________ Groups of ________, total of _________Six Two Twelve
_____ x ______ = _______
MultiplicationYou try it...
_________ Groups of ________, total of _________Six Two Twelve
_____ x ______ = _______6
MultiplicationYou try it...
_________ Groups of ________, total of _________Six Two Twelve
_____ x ______ = _______6 2
MultiplicationYou try it...
_________ Groups of ________, total of _________Six Two Twelve
_____ x ______ = _______6 2 12
MultiplicationYou try it...
Four groups of six, total of 24
4 x 7 = 28
MultiplicationYou try it...
Four groups of six, total of 24
4 x 7 = 28
Properties of Multiplication
Properties of MultiplicationCommutative Property
Properties of MultiplicationCommutative Property
3x4 = 12
Properties of MultiplicationCommutative Property
3x4 = 12
4x3 = 12
Properties of MultiplicationCommutative Property
3x4 = 12
4x3 = 12
Associative Property
Properties of MultiplicationCommutative Property
3x4 = 12
4x3 = 12
Associative Property
(3 x 4) x 2 = 24
Properties of MultiplicationCommutative Property
3x4 = 12
4x3 = 12
Associative Property
(3 x 4) x 2 = 24
3 x (4 x 2 ) = 24
Properties of MultiplicationCommutative Property
3x4 = 12
4x3 = 12
Associative Property
(3 x 4) x 2 = 24
3 x (4 x 2 ) = 24
Zero Property
Properties of MultiplicationCommutative Property
3x4 = 12
4x3 = 12
Associative Property
(3 x 4) x 2 = 24
3 x (4 x 2 ) = 24
Zero Property
5 x 0 = 0 1,234,567,890 x 0 = 0
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
3 row of 4
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
3 row of 4 4 row of 3
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
3 row of 4 4 row of 3
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
3 row of 4 4 row of 3
3 x 4 =
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
3 row of 4 4 row of 3
3 x 4 =
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
3 row of 4 4 row of 3
3 x 4 = 4 x 3 =
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
3 row of 4 4 row of 3
123 x 4 = 4 x 3 =
ARRAY in MultiplicationAn Array is when you arrange the pieces in rows and columns
An array is like the Commutative Property, you can flip flop the factors and the product is still the same
3 row of 4 4 row of 3
12 123 x 4 = 4 x 3 =
Multiply by 4Use what you know about Multiply by 2 and DOUBLE IT!
Because 4 is double of 2, right?
Multiply by 4Use what you know about Multiply by 2 and DOUBLE IT!
Because 4 is double of 2, right?
7 x 4 = ?
Multiply by 4Use what you know about Multiply by 2 and DOUBLE IT!
Because 4 is double of 2, right?
7 x 4 = ?You know that 7 x 2 = 14
So, DOUBLE THAT...you will have the answer...
Multiply by 4Use what you know about Multiply by 2 and DOUBLE IT!
Because 4 is double of 2, right?
7 x 4 = ?You know that 7 x 2 = 14
So, DOUBLE THAT...you will have the answer... 28
Multiply by 4...
Multiply by 4... You try it...
Multiply by 4... You try it...
6 x 4 = ?
Multiply by 4... You try it...
6 x 4 = ?
think... 6 x 2 (or 2 x 6) = ?
Multiply by 4... You try it...
6 x 4 = ?
think... 6 x 2 (or 2 x 6) = ?
Double that...
Multiply by 4... You try it...
6 x 4 = ?
think... 6 x 2 (or 2 x 6) = ?
Double that...
The answer is...
Multiply by 4... You try it...
6 x 4 = ?
think... 6 x 2 (or 2 x 6) = ?
Double that...
The answer is...
12
Multiply by 4... You try it...
6 x 4 = ?
think... 6 x 2 (or 2 x 6) = ?
Double that...
The answer is...
12
24
Multiply by 4...Practice
1. 8 x 4 =
2. 4 x 9 =
3. 10 x 4 =
4. 4 x 4 =
5. 4 x 6 =
Multiply by 4...Practice
1. 8 x 4 =
2. 4 x 9 =
3. 10 x 4 =
4. 4 x 4 =
5. 4 x 6 =
32
36
40
16
24
Multiply by 9
Multiply.
1. 8! 9
2. 10! 9
3. 3! 9
4. 9! 6
5. 7! 9
6. 9! 9
7. 9 ! 5 = 8. 2 ! 9 = 9. 4 ! 9 =
Writing Math Look at the products in the table above. What do you notice about the sum of the digits?
Multiply with 9You can use patterns to fi nd a product when 9 is a factor.
Look at each 9s fact in the table. Notice that the tens digit of each product is 1 less than the number multiplied by 9.
Look at each product. The ones digit is the difference of 9 and the tens digit.
Antwon has 6 bags of marbles. There are 9 marbles in each bag. How many marbles does Antwon have in all?
Use a pattern to find the product of 6 ! 9.
Think: 1 less than 6 is 5, so the tens digit in the product is 5.
9 ! 5 = 4, so the ones digit in the product is 4.
6 ! 9 = 5_
6 ! 9 = 54
Factors Product
1 ! 9 "
2 ! 9 "
3 ! 9 "
4 ! 9 "
5 ! 9 "
1 # 1 " 0
2 # 1 " 1
3 # 1 " 2
4 # 1 " 3
5 # 1 " 4
9
18
27
36
45
Factors Product
1 ! 9 "
2 ! 9 "
3 ! 9 "
4 ! 9 "
5 ! 9 "
9
18
27
36
45
9 # 0 " 9
9 # 1 " 8
9 # 2 " 7
9 # 3 " 6
9 # 4 " 5
Solution: Antwon has 54 marbles.
Name Date
6–12 Use with text pages 124–126.ReteachCopyright © Houghton Mifflin Company. All rights reserved.
CA StandardsNS 2.2, AF 1.2
Chapter 6, Lesson 2Reteach
73743_C6L2_RET.indd 6–1273743_C6L2_RET.indd 6–12 11/27/07 2:19:45 PM11/27/07 2:19:45 PM
Multiply by 9
98
765
43
2
1 10
ChisenbopChisenbop is an ancient computation method using your fi ngers. You can use Chisenbop to multiply when 9 is a factor. The product 9 ! 2 is shown below as an example.
Work with a partner. Show a problem below with your fi ngers. Your partner then fi nds that fact below and writes the product. Take turns until you have completed all of the facts.
1. 9 ! 3 = 2. 9 ! 7 = 3. 9 ! 5 =
4. 9 ! 4 = 5. 9 ! 10 = 6. 9 ! 8 =
7. 9 ! 9 = 8. 9 ! 1 = 9. 9 ! 6 =
Writing Math Can you use Chisenbop to multiply by a factor other than 9? Explain.
Step 1 Hold your hands up with the palms facing you. Mentally give each finger a number 1–10 as shown.
Step 2 Find the factor that is NOT 9 in your multiplication problem. Bend that finger down. So, for 9 ! 2, you bend down your #2 finger as shown.
Step 3 Count the fingers to the left of the bent finger—they are the tens in your product: 1 finger = 1 ten.
Step 4 Count the fingers to the right of the bent finger—they are the ones in your product: 8 fingers = 8 ones.
Your hands show 1 ten and 8 ones. 9 ! 2 = 18.
Name Date
6–14 Use with text pages 124–126.EnrichmentCopyright © Houghton Mifflin Company. All rights reserved.
CA StandardsNS 2.2, AF 1.2
Chapter 6, Lesson 2Enrichment
73743_C6L2_ENR.indd 6–1473743_C6L2_ENR.indd 6–14 11/27/07 2:20:17 PM11/27/07 2:20:17 PM
Multiplication Using Number Line3 x 8 =
0
Multiplication Using Number Line3 x 8 =
0
Multiplication Using Number Line3 x 8 =
30
Multiplication Using Number Line3 x 8 =
3 60
Multiplication Using Number Line3 x 8 =
3 6 90
Multiplication Using Number Line3 x 8 =
3 6 9 120
Multiplication Using Number Line3 x 8 =
3 6 9 12 150
Multiplication Using Number Line3 x 8 =
3 6 9 12 15 180
Multiplication Using Number Line3 x 8 =
3 6 9 12 15 18 210
Multiplication Using Number Line3 x 8 =
3 6 9 12 15 18 21 240
Multiplying with Number LineYou try it...
1. 3 x 9 = 2. 4 x 7 = 3. 6 x 4 = 4. 7 x 3 = 5. 8 x 4 =
Multiplying with Number LineYou try it...
1. 3 x 9 = 2. 4 x 7 = 3. 6 x 4 = 4. 7 x 3 = 5. 8 x 4 =
27
Multiplying with Number LineYou try it...
1. 3 x 9 = 2. 4 x 7 = 3. 6 x 4 = 4. 7 x 3 = 5. 8 x 4 =
2728
Multiplying with Number LineYou try it...
1. 3 x 9 = 2. 4 x 7 = 3. 6 x 4 = 4. 7 x 3 = 5. 8 x 4 =
2728
24
Multiplying with Number LineYou try it...
1. 3 x 9 = 2. 4 x 7 = 3. 6 x 4 = 4. 7 x 3 = 5. 8 x 4 =
2728
2421
Multiplying with Number LineYou try it...
1. 3 x 9 = 2. 4 x 7 = 3. 6 x 4 = 4. 7 x 3 = 5. 8 x 4 =
2728
2421
32
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