Download 1 - Maples Elementary School

1.8 Properties of Real Numbers
I can identify properties of real numbers
Property
Commutative Property of
Addition
Commutative Property of
Multiplication
Associative Property of
Addition
Associative Property of
Multiplication
Identity Property of
Addition
Identity Property of
Multiplication
Inverse Property of Addition
Explanation
Example
Inverse Property of
Multiplication
Distributive Property
Multiplication Property of
Zero
Multiplication Property of -1
Name the property that each equation
Name the property that each equation
illustrates.
illustrates.
83 + 6 = 6 + 83
1  4y = 4y
Name the property that each equation
Name the property that each equation
illustrates.
illustrates.
15x + 15y = 15(x + y)
8+x=x+8
Name the property that each equation
Name the property that each equation
illustrates.
illustrates.
15x + 15y = 15(x + y)
(8  7)  6 = 8  (7  6)
Name the property that each equation
Name the property that each equation
illustrates.
illustrates.
7 + (8 + 15) = (7 + 8) + 15
4a + (5b + 6c) = (4a + 5b) + 6c
Name the property that each equation
Name the property that each equation
illustrates.
illustrates.
3w + 5y = 5y + 3w
Name the property that each equation
Name the property that each equation
illustrates.
illustrates.
0 = 30  0
x+y=y+x
Name the property that each equation
Name the property that each equation
illustrates.
illustrates.
6  (x  y) = (6  x)  y
20(a + b) = 20(b + a)
1. Are the expressions 6m + 1 and 1 * 6 + m equivalent? Explain your answer.
2. Are the expressions 9 y and 9 + y equivalent? Explain your answer.
3. Are the expressions -(5 – 9) and 9 – 5 equivalent? Explain your answer.
4. Is subtraction commutative? Explain your answer and give an example.
5. Is division commutative? Explain your answer and give an example.
6. Is addition commutative? Explain your answer and give an example.