18 Properties

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# 18 Properties - PowerPoint PPT Presentation

18 Properties. MathScience Innovation Center Mrs. B. Davis. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers.

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### 18 Properties

MathScience Innovation Center

Mrs. B. Davis

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

One more property of real numbers…

Distributive Property

a(b+c) = ab + ac

Or

ab+ac = a(b + c)

18 Properties B. Davis MathScience Innovation Center

Properties of Equality
• You may
• Subtract
• Multiply
• Divide ( by anything except 0)
• As long as you operate on both sides !

18 Properties B. Davis MathScience Innovation Center

Subtraction

Multiplication

Division

If a = 5, then a + 1 = 5 + 1

If a = 5, then a - 3 = 5 - 3

If a = 5, then a x 9 = 5 x 9

If a = 5, then a /2 = 5 /2

Properties of Equality

18 Properties B. Davis MathScience Innovation Center

Properties of Equality
• Reflexive
• Symmetric
• Transitive

18 Properties B. Davis MathScience Innovation Center

Properties of Equality
• Reflexive 1
• Symmetric 2
• Transitive 3

18 Properties B. Davis MathScience Innovation Center

Properties of Equality
• Reflexive 1 a= a
• Symmetric 2
• Transitive 3

18 Properties B. Davis MathScience Innovation Center

Properties of Equality
• Reflexive 1 a= a
• Symmetric 2 If a = b, then b = a.
• Transitive 3

18 Properties B. Davis MathScience Innovation Center

Properties of Equality
• Reflexive 1 a= a
• Symmetric 2 If a = b, then b = a.
• Transitive 3 If a = b, and b = c,

then a = c.

18 Properties B. Davis MathScience Innovation Center

Reflexive

a= a

Properties of Equality

Transitive

Symmetric

If a = b, and b = c,

then a = c.

If a = b, then b = a.

18 Properties B. Davis MathScience Innovation Center

Which property is it?

Distributive Property

a(b+c) = ab + ac

Or

ab+ac = a(b + c)

18 Properties B. Davis MathScience Innovation Center

Which property is it?

Commutative Property of Multiplication

a(b+c) = (b+c)a

18 Properties B. Davis MathScience Innovation Center

Which property is it?

Reflexive

Property of Equality

a(b+c) = a(b+c)

18 Properties B. Davis MathScience Innovation Center

Which property is it?

Identity

Property of Multiplication

1(b+c) = b+ c

18 Properties B. Davis MathScience Innovation Center

Which property is it?

Symmetric Property of Equality

If 2 + 3x = 5

Then 5 = 2 + 3x

18 Properties B. Davis MathScience Innovation Center

Substitution property

If 2 + 3x = 5y, and x= 2

Then 2 + 3(2)= 5y

Which is an example for the property?

Transitive Property of Equality

If 2 + 3x = 5, and 5 = 6b

Then 2 + 3x= 6b

If 2 + 3x = 5, and 5 = 6b

Then 2 + 3x= 6b

If 2 + 3x = 5y, and x= 2

Then 2 + 3(2)= 5y

18 Properties B. Davis MathScience Innovation Center

Identity Property

4 + 0 = 4

And

0 + 4 = 4

Which example for the property?

4 + -4 = 0

And

-4 + 4 = 0

4 + 0 = 4

And

0 + 4 = 4

4 + -4 = 0

And

-4 + 4 = 0

18 Properties B. Davis MathScience Innovation Center

4(x+y)=4(y+x)

Which is an example for the property?

Commutative Property for Multiplication

4(x + y)=(x+y)4

4(x+y)=4(y+x)

4(x+y)=(x+y)4

18 Properties B. Davis MathScience Innovation Center