()

These numbers are all separate = = 6 x 3 x 8 x 4 = 6 x 3 x 8 x 4 =

The numbers with parentheses around them are counted as one number. (4 + 5) = (4 + 5) = 6 x 3 x (8 x 4) = 6 x 3 x (8 x 4) =

Therefore, the operations inside the parentheses must be done first. (4 + 5) = (4 + 5) = 6 x 3 x (8 x 4) = 6 x 3 x (8 x 4) =

Definition Associative Property – the way addends are grouped does not change a sum Associative Property – the way addends are grouped does not change a sum (4 + 3) + 9 = (3 + 9) = 16

Order of Operations The operations within parentheses must be done first before the other operations. (4 + 3) + 9 = = 16

Solve these problems 1. (76 – 13) + 20 = – ( ) = 3. ( ) – 125 = – (25 -13) = (55 – 13) = Associative Property

Check Did you remember to do the operations in the parentheses () first?

Solve these problems Let n = 5 A. (16 – n) + 4 = B. n – (3 + 1) = C. (n + n) – 8 = D. 24 – (n +7) = E (n + 13) = Associative Property

Check Did you remember to do the operations in the parentheses () first?

Insert parentheses to make each equation true – = – 8 = – = – 2 = – (5 + 1) = 5 15 – (10 – 8) = 13 (8 – 2) +7 = 13 (9 + 3) – 2 = 10

i·den·ti·ty –noun, plural -ties. 1.the state or fact of remaining the same one or ones, as under varying aspects or conditions: The identity of the fingerprints on the gun with those on file provided evidence that he was the killer. 2. the condition of being oneself or itself, and not another: He doubted his own identity. 3. condition or character as to who a person or what a thing is: a case of mistaken identity. 4. the state or fact of being the same one as described. 5. exact likeness in nature or qualities: an identity of interests. 6. an instance or point of sameness or likeness

What is an Identity Card? Any document which may be used to verify aspects of a person's personal identity.

Identity Property The sum of any addend and zero equals the addend.

Solve these problems = 2. 6, = = = ,987,402 = 9 6, ,987,402 Identity Property

What do these pictures have in common?

They are all pictures of people going back and forth to work. What is the name for a person who travels back & forth to work?Commuter

Many people commute to work. They get up at home in the morning, dress, eat breakfast, brush their teeth, then drive or take the train or a bus to work. In other words, they change places. In the afternoon they change places again and drive or ride home. So we call them commuters. The commutative property means " to change places."

Commutative Property The order of addends does not change a sum. a+b is the same as b+a They are both commuting. That's the commutative property.

Commutative Property – The order of addends does not change a sum.

Show the commutative property and then solve = 2. a + x = = = = 16 x + a = = = 10 Commutative Property

(2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition

3 + 7 = Commutative Property of Addition

8 + 0 = 8 Identity Property of Addition

(x + c) + b = x + (c + b) Associative Property of Addition

= 4.87 Identity Property of Addition

= Commutative Property of Addition