# 1.6 Math

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1. For any real number a,

0 + a =a + 0
What property is this?
2. 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. 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
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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.
11. 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

For any real number a, finish line
For any real number a, a + (-a) = -a + a = 0
13. what property is this

For any real number a, a + (-a) = -a + a = 0
14. 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
• -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.
15. 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
• 4. Associative Property of Addition
16. 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
 Author: Nayja ID: 168658 Card Set: 1.6 Math Updated: 2012-09-03 15:10:29 Tags: Properties Folders: Description: Types of Properties Show Answers: