Properties of Addition Lesson 1 4 Three Properties
- Slides: 26
Properties of Addition Lesson 1 -4
Three Properties of Addition 1. Commutative 2. Associative 3. Identity
The Commutative Property • Background – The word commutative comes from the verb “to commute. ” – Definition on dictionary. com • Commuting means changing, replacing, or exchanging – People who travel back and forth to work are called commuters. • Traffic Reports given during rush hours are also called commuter reports.
Here are two families of commuters. Commuter B Commuter A & Commuter B changed lanes. Remember… commute means to change. Commuter B Commuter A
Home School The distance from Home to School is the same as the distance from school to home. Home + School = School + Home H+S=S+H A+B=B+A
The Commutative Property A+B=B+A
Three Properties of Addition 1. Commutative 2. Associative 3. Identity
The Associative Property • Background – The word associative comes from the verb “to associate. ” – Definition on dictionary. com • Associate means connected, joined, or related – People who work together are called associates. • They are joined together by business, and they do talk to one another.
Let’s look at another hypothetical situation Three people work together. Associate B needs to call Associates A and C to share some news. Does it matter who he calls first?
Here are three associates. B calls A first He calls C last B A If he called C first, then called A, would it have made a difference? NO! C
(The Role of Parentheses) • In math, we use parentheses to show groups. So….
The Associative Property The parentheses identify which two associates talked first. (A + B) + C = A + (B + C) B A B THEN C A C
Three Properties of Addition 1. Commutative 2. Associative 3. Identity
The Identity Property of Addition I am me! You cannot change My identity!
Zero is the only number you can add to something and see no change.
Identity Property of Addition +0= A+0=A
Let’s practice ! Look at the problem. Identify which property it represents.
(9 + 8) + 7 = 9 + (8 + 7) The Associative Property of Addition It is the only addition property that has parentheses.
12 + 0 = 12 The Identity Property of Addition It is the only addition property that has two addends and one of them is a zero.
9+7=7+9 The Commutative Property of Addition It is the only addition property that has numbers that change places.
4+6=6+4 The Commutative Property of Addition Numbers change places.
3+0=3 The Identity Property of Addition See the zero?
(4 + 3) + 2 = 4 + (3 + 2) The Associative Property of Addition It has parentheses!
a+0=a The Identity Property of Addition Zero!
a+b=b+a The Commutative Property of Addition Moving numbers!
(a + b) + c = a + (b + c) The Associative Property of Addition Parentheses! B A C
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