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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

18 Properties

MathScience Innovation Center

Mrs. B. Davis

properties of real numbers
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers1
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers2
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers3
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers4
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers5
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers6
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers7
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers8
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers9
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers10
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers11
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers12
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

properties of real numbers13
Properties of Real Numbers

18 Properties B. Davis MathScience Innovation Center

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

18 Properties B. Davis MathScience Innovation Center

properties of equality1

Addition

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 equality2
Properties of Equality
  • Reflexive
  • Symmetric
  • Transitive

18 Properties B. Davis MathScience Innovation Center

properties of equality3
Properties of Equality
  • Reflexive 1
  • Symmetric 2
  • Transitive 3

18 Properties B. Davis MathScience Innovation Center

properties of equality4
Properties of Equality
  • Reflexive 1 a= a
  • Symmetric 2
  • Transitive 3

18 Properties B. Davis MathScience Innovation Center

properties of equality5
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 equality6
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

properties of equality7

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
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 it1
Which property is it?

Commutative Property of Multiplication

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

18 Properties B. Davis MathScience Innovation Center

which property is it2
Which property is it?

Reflexive

Property of Equality

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

18 Properties B. Davis MathScience Innovation Center

which property is it3
Which property is it?

Identity

Property of Multiplication

1(b+c) = b+ c

18 Properties B. Davis MathScience Innovation Center

which property is it4
Which property is it?

Symmetric Property of Equality

If 2 + 3x = 5

Then 5 = 2 + 3x

18 Properties B. Davis MathScience Innovation Center

which is an example for the property

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

which example for the property

Identity Property

of Addition

4 + 0 = 4

And

0 + 4 = 4

Which example for the property?

Property of Additive Inverses

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

which is an example for the property1

Commutative Property for Addition

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