Download Commutative, Associative, Identity & Zero Properties of Multiplication

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Transcript 
© 2007 M. Tallman
• Commutative Property
© 2007 M. Tallman
The order of the factors
product
does not change the product.
5 × 3 = 15
5×3=3×5
© 2007 M. Tallman
3 × 5 = 15
5 × 3 = 15
© 2007 M. Tallman
Use the Commutative Property to find the value of the variable.




3×5=j×3
12 × p = 7 × 12
f×6=6×9
9×4=4×s
© 2007 M. Tallman
j=5
p=7
f=9
s=9
• Commutative Property
• Associative Property
© 2007 M. Tallman
The way the factors are grouped does not
change the product.
In math, parentheses are used to group
numbers. They tell us which part of the problem
to solve first.
(3 × 2) × 4 = 24
(3 × 2) × 4 = 3 × (2 × 4)
© 2007 M. Tallman
(3 × 2) × 4 = 24
3 × (2 × 4) = 24
© 2007 M. Tallman
Use the Associative Property to find the value of the variable.




(8 × 5) × 12 = w × (5 × 12)
(8 × e) × 2 = 8 × (9 × 2)
y × (5 × 8) = (4 × 5) × 8
5 × (4 × 1) = (5 × 4) × h
© 2007 M. Tallman
w=8
e=9
y=4
h=1
• Commutative Property
• Associative Property
• Identity Property
© 2007 M. Tallman
The product of any number
and 1 equals the number.
1 × 13 = 13
© 2007 M. Tallman
1 × 13 = 13
© 2007 M. Tallman
Use the Identity Property to find the value of the variable.
 39 × 1 = u
 2,198 × b = 2,198
 z × 68 = 68
901 = 1 × s
© 2007 M. Tallman
u = 39
b=1
z=1
s = 901
• Commutative Property
• Associative Property
• Identity Property
• Zero Property
© 2007 M. Tallman
The product of any number and 0 equals zero.
4×0=0
© 2007 M. Tallman
4 ×0 = 0
© 2007 M. Tallman
Use the Zero Property to find the value of the variable.
 82 × 0 = u
 218 × b = 0
 z × 629 = 0
9,788 = 0 × s
u=0
b=0
z=0
s=0
© 2007 M. Tallman
© 2007 M. Tallman
8×3=3×8
© 2007 M. Tallman
4 × (7 × 8) = (4 × 7) × 8
© 2007 M. Tallman
9×1=9
© 2007 M. Tallman
22 × 0 = 0
© 2007 M. Tallman
(5 × 4) × 3 = 5 × (4 × 3)
© 2007 M. Tallman
4×0=0
© 2007 M. Tallman
34 × 1 = 34
© 2007 M. Tallman
53 × 5 = 5 × 53
© 2007 M. Tallman
11 × 9 = 9 × 11
© 2007 M. Tallman
6 × (9 × 8) = (6 × 9) × 8
© 2007 M. Tallman
0 × 345 = 0
© 2007 M. Tallman
1×8=8
© 2007 M. Tallman
Multiply. Then write a different multiplication
sentence using the Commutative Property.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
3×3
5×3
5×9
6×8
7×9
4×6
3×8
7×4
2 × 11
12 × 3
=9
= 15
= 45
= 48
= 63
= 24
= 24
= 28
= 22
= 36
© 2007 M. Tallman
3×3=9
3 × 5 = 15
9 × 5 = 45
8 × 6 = 48
9 × 7 = 63
6 × 4 = 24
8 × 3 = 24
4 × 7 = 28
11 × 2 = 22
3 × 12 = 36
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