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For any real number a,
0 + a =a + 0
What property is this?
Additive Identity

1. Show formula for Additive Identity property
Define it
2. The sum of... Finish this Phrase
3. What Identity do we call zero?
1. For any real number a,
0 + a = a + 0
2. The sum of any number and 0 is that number.
3. The additive identity

Identity Property of Multiplication
1. For any real number a,..Finish formula
2. The product of .... finish senctence
3. what type of identity do we call the answer to two.
For any real number a,
a x 1 = 1 x a = a
 2. The product of any number and 1 is that number
 3. The multiplicative identity

Commutative property of addition and Multiplication
If a and b are....
If a and b are real numbers then
a + b = b + a and a x b = b x a

1. What properties are these?
If a and b are real numbers then
a + b = b + a and a x b = b x a
2. this property makes it ...to evaluate.
 1. Commutative and Multiplication property
 2. easier

Associative Properties of Addition and Multiplication
If ...then...
If a, b, and c are real numbers then
a + (b + c) = (a + b) + c = a + b + c
a x (b x c) = (a x b) x c = a x b x c

What properties are these
If a, b, and c are real numbers then
a + (b + c) = (a + b) + c = a + b + c
a x (b x c) = (a x b) x c = a x b x c
Associative Properties of Addition and Multiplication

Multiplication Property of Zero
For any real number a, the product of a and 0 is always 0; that is,
a x 0 = 0 x a = 0

For any real number a, the product of a and 0 is always 0; that is,
a x 0 = 0 x a = 0
Multiplication Property of Zero

Division Properties of Zero
For any nonzero real number a,
1. The quotient of ....
2. The quotient of a and 0 ....
1. The quotient of 0 and a is 0. That is 0/a= 0
2. The quotient of a and 0 is undefined. That is, a/0 is undefined.

What properties are these
For any nonzero real number a,
1. The quotient of 0 and a is 0. That is 0/a= 0
2.The quotient of a and 0 is undefined. That is, a/0 is undefined.
Division Properties of Zero

Additive Inverse Property
For any real number a, finish line
For any real number a, a + (a) = a + a = 0

what property is this
For any real number a, a + (a) = a + a = 0
additive inverse property

What four properties of addition are there?
What are their formulas?
 1. Identity Property of addition
 For any real number a, 0 + a = a + 0 = a
 2. Commutative property of addition
 If a and b are real numbers, then a + b = b + a
 3. Additive Inverse Property
 For any real number a, a + (a) = a + a = 0
 4. Associative Property of Addition
 If a, b, and c are real numbers, then a+(b+c)=(a+b)+c.

Match the properties with the numbers
1. For any real number a, 0 + a = a + 0 = a
2.If a and b are real numbers, then a + b = b + a
3. For any real number a, a + (a) = a + a = 03. 4. If a, b, and c are real numbers, then a+(b+c)=(a+b)+c.
 1. Identity Property of addition
 2. Communtative Property of addition
 3. Additive Inverse Property
 4. Associative Property of Addition

Properties of Multiplication include
include their formulas
 1. Identity Property of Multiplication
 a x 1 = 1 x a = a for any ral number a
 2. Commutative Property of Mulctiplication
 If a and b are real numbers, then a x b = b x a
 3. Multiplicative Inverse Property
 a x 1/a = 1/a x a = 1 ( a cant = a)
 4. Associative Property of Multiplication
 If a,b,and c are real numbers, then a x (bxc)=(axb)xc
 5. Multiplication Property of Zero
 For any real number a, the product of a and 0 is always 0; that is, a x 0 = 0 x a 0
 6. Division Properties of Zero
 For any nonzero number a,
 (A) the quotient of 0 and a is 0. That is, 0/a = 0
 (B) the quotient of a and 0 is undefined. That is, a/0 is undefined

