Day 2 ­ Properties of Addition and Multiplication.notebook
Warm­up: Define and give an example for each property.
Commutative Property:
Associative Property:
Essential Question:
What is the relationship between the identity element and the multiplicative or additive inverse?
Day 2 ­ Properties of Addition and Multiplication.notebook
PROPERTIES OF ADDITION AND MULTIPLICATION:
A binary operation is an operation performed on two numbers at a time.
Example: 3 + 4 + 5 = _____________
Essential Question:
What is the relationship between the identity element and the multiplicative or additive inverse?
Distributive Property of Multiplication over Addition or Subtraction:
1) 4 (10 + 3) = 2) (5 ­ 2) 6 =
3) 3(x + 2) =
Essential Question:
What is the relationship between the identity element and the multiplicative or additive inverse?
Day 2 ­ Properties of Addition and Multiplication.notebook
Identity Properties
• Additive Identity Property: 4 + 0 = 4
0 + (­3) = ­3
• Multiplicative Identity Property:
5 • 1 = 5
­7 • 1 = ­7
Zero is the identity number of addition.
One is the identity number of multiplication
Essential Question:
What is the relationship between the identity element and the multiplicative or additive inverse?
Inverse Properties
• Additive Inverse Property ( adding opposites)
• 3 + ­3 = 0
• ­9 + 9 = 0
• Multiplicative Inverse Property (multiplying reciprocals) 2 ______ = 1
1/4 _____ = 1
3/5 _____ = 1
Essential Question:
What is the relationship between the identity element and the multiplicative or additive inverse?
Day 2 ­ Properties of Addition and Multiplication.notebook
Multiplicative Property of Zero:
any number multiplied by zero equals ?
8 • 0 = 0
­ 9 • 0 = 0
Property of Closure: means you only get answers in the given set. Example: {integers}
Closed under addition because any two integers added together equals another integer. 3 + 4 = 7
­9 + 6 = ­3
Not closed under division because you can get a fraction or decimal as an answer. 4 2 = 2, but 2 4 = .5 which is not an integer.
Essential Question:
What is the relationship between the identity element and the multiplicative or additive inverse?