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MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

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MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10
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Page 1: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

MTH 11203Algebra

PROPERTIES OF THE REAL NUMBER SYSTEM

CHAPTER 1 SECTION 10

If a and b represent any real numbers thena + b = b + a

Commutative property involves a change in order

The order that you add does not matter same results

Exp 5 + 2 = 2+ 5 7 = 7

Exp -3 + (-5) = -5 + (-3) -8 = -8

Commutative property will not work for subtraction

Commutative Property of Addition

If a and b represent any real numbers thena b = b a

The order that you multiply does not matter same results

Exp (5)(6) = (6)(5) 30 = 30

Exp (r)(g) = (g)(r) rg = rg

Commutative property will not work for division

Commutative property changes the order

Commutative Property of Multiplication

If a and b represent any real numbers then(a + b) + c = a + (b + c)

The associative property involves a change in grouping

The order that you add does not matter same results

Exp (2 + 3) + 4 = 2 + (3 + 4) Exp 6 + (w + 1) = (6 + w) + 1

5 + 4 = 2 + 7 7 + w = 7 + w 9 = 9

Exp (3 + 4) + x = 3 + (4 + x) 7 + x = 7 + x

Associative property will not work for subtraction

Associative Property of Addition

If a and b represent any real numbers then(a b) c = a (b c)

The order that you multiply does not matter same results

Exp (2 6) 4 = 2 (6 4) 12 4 = 2 24 48 = 48

Exp (3 7) x = 3 (7 x) 21 x = 21 x 21x = 21x

Associative property will not work for divisionThe associative property changes grouping

Associative Property of Multiplication

If a and b represent any real numbers thena(b + c) = ab + ac

The order that you multiply does not matter same results

Exp 3(2 + 4) = (3)(2) + (3)(4) (3)(6) = 6 + 12 18 = 18

Exp 6(x ndash 9) = (6)(x) ndash (6)(9)6x ndash (6)(9) = 6x ndash 546x ndash 54 = 6x ndash 54

Expand a (b + c + d + e + f + hellip + n) = ab + ac + ad + ae + af + hellip + an

Distributive Property

Identity Property of AdditionIf a and b represent any real numbers thena + 0 = a and 0 + a = a Zero is the identity element of addition

Exps 3 + 0 = 3 6 + 0 = 6 50 + 0 = 50

Identity Property of MultiplicationIf a and b represent any real numbers thena 1 = a and 1 a = a One is the identity element of Multiplication

Exp 3 1 = 3 6 1 = 6 50 1 = 50

Identity Property

Inverse Property of AdditionIf a and b represent any real numbers thena + (-a) = 0 and -a + a = 0 Additive inverses are any two numbers whose sum is 0 or opposites

Exp 3 + (-3) = 0 6 + (-6) = 0 50 + (-50) = 0

Inverse Property of MultiplicationIf a and b represent any real numbers thena = 1 and a = 1 a ne 0

Multiplicative inverses are any two numbers whose product is 1 or reciprocal

Exp 3 = 1 6 = 1 50 = 1

Inverse Property

1

a

1

a

1

50

1

6

1

3

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 2: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

If a and b represent any real numbers thena + b = b + a

Commutative property involves a change in order

The order that you add does not matter same results

Exp 5 + 2 = 2+ 5 7 = 7

Exp -3 + (-5) = -5 + (-3) -8 = -8

Commutative property will not work for subtraction

Commutative Property of Addition

If a and b represent any real numbers thena b = b a

The order that you multiply does not matter same results

Exp (5)(6) = (6)(5) 30 = 30

Exp (r)(g) = (g)(r) rg = rg

Commutative property will not work for division

Commutative property changes the order

Commutative Property of Multiplication

If a and b represent any real numbers then(a + b) + c = a + (b + c)

The associative property involves a change in grouping

The order that you add does not matter same results

Exp (2 + 3) + 4 = 2 + (3 + 4) Exp 6 + (w + 1) = (6 + w) + 1

5 + 4 = 2 + 7 7 + w = 7 + w 9 = 9

Exp (3 + 4) + x = 3 + (4 + x) 7 + x = 7 + x

Associative property will not work for subtraction

Associative Property of Addition

If a and b represent any real numbers then(a b) c = a (b c)

The order that you multiply does not matter same results

Exp (2 6) 4 = 2 (6 4) 12 4 = 2 24 48 = 48

Exp (3 7) x = 3 (7 x) 21 x = 21 x 21x = 21x

Associative property will not work for divisionThe associative property changes grouping

Associative Property of Multiplication

If a and b represent any real numbers thena(b + c) = ab + ac

The order that you multiply does not matter same results

Exp 3(2 + 4) = (3)(2) + (3)(4) (3)(6) = 6 + 12 18 = 18

Exp 6(x ndash 9) = (6)(x) ndash (6)(9)6x ndash (6)(9) = 6x ndash 546x ndash 54 = 6x ndash 54

Expand a (b + c + d + e + f + hellip + n) = ab + ac + ad + ae + af + hellip + an

Distributive Property

Identity Property of AdditionIf a and b represent any real numbers thena + 0 = a and 0 + a = a Zero is the identity element of addition

Exps 3 + 0 = 3 6 + 0 = 6 50 + 0 = 50

Identity Property of MultiplicationIf a and b represent any real numbers thena 1 = a and 1 a = a One is the identity element of Multiplication

Exp 3 1 = 3 6 1 = 6 50 1 = 50

Identity Property

Inverse Property of AdditionIf a and b represent any real numbers thena + (-a) = 0 and -a + a = 0 Additive inverses are any two numbers whose sum is 0 or opposites

Exp 3 + (-3) = 0 6 + (-6) = 0 50 + (-50) = 0

Inverse Property of MultiplicationIf a and b represent any real numbers thena = 1 and a = 1 a ne 0

Multiplicative inverses are any two numbers whose product is 1 or reciprocal

Exp 3 = 1 6 = 1 50 = 1

Inverse Property

1

a

1

a

1

50

1

6

1

3

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 3: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

If a and b represent any real numbers thena b = b a

The order that you multiply does not matter same results

Exp (5)(6) = (6)(5) 30 = 30

Exp (r)(g) = (g)(r) rg = rg

Commutative property will not work for division

Commutative property changes the order

Commutative Property of Multiplication

If a and b represent any real numbers then(a + b) + c = a + (b + c)

The associative property involves a change in grouping

The order that you add does not matter same results

Exp (2 + 3) + 4 = 2 + (3 + 4) Exp 6 + (w + 1) = (6 + w) + 1

5 + 4 = 2 + 7 7 + w = 7 + w 9 = 9

Exp (3 + 4) + x = 3 + (4 + x) 7 + x = 7 + x

Associative property will not work for subtraction

Associative Property of Addition

If a and b represent any real numbers then(a b) c = a (b c)

The order that you multiply does not matter same results

Exp (2 6) 4 = 2 (6 4) 12 4 = 2 24 48 = 48

Exp (3 7) x = 3 (7 x) 21 x = 21 x 21x = 21x

Associative property will not work for divisionThe associative property changes grouping

Associative Property of Multiplication

If a and b represent any real numbers thena(b + c) = ab + ac

The order that you multiply does not matter same results

Exp 3(2 + 4) = (3)(2) + (3)(4) (3)(6) = 6 + 12 18 = 18

Exp 6(x ndash 9) = (6)(x) ndash (6)(9)6x ndash (6)(9) = 6x ndash 546x ndash 54 = 6x ndash 54

Expand a (b + c + d + e + f + hellip + n) = ab + ac + ad + ae + af + hellip + an

Distributive Property

Identity Property of AdditionIf a and b represent any real numbers thena + 0 = a and 0 + a = a Zero is the identity element of addition

Exps 3 + 0 = 3 6 + 0 = 6 50 + 0 = 50

Identity Property of MultiplicationIf a and b represent any real numbers thena 1 = a and 1 a = a One is the identity element of Multiplication

Exp 3 1 = 3 6 1 = 6 50 1 = 50

Identity Property

Inverse Property of AdditionIf a and b represent any real numbers thena + (-a) = 0 and -a + a = 0 Additive inverses are any two numbers whose sum is 0 or opposites

Exp 3 + (-3) = 0 6 + (-6) = 0 50 + (-50) = 0

Inverse Property of MultiplicationIf a and b represent any real numbers thena = 1 and a = 1 a ne 0

Multiplicative inverses are any two numbers whose product is 1 or reciprocal

Exp 3 = 1 6 = 1 50 = 1

Inverse Property

1

a

1

a

1

50

1

6

1

3

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 4: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

If a and b represent any real numbers then(a + b) + c = a + (b + c)

The associative property involves a change in grouping

The order that you add does not matter same results

Exp (2 + 3) + 4 = 2 + (3 + 4) Exp 6 + (w + 1) = (6 + w) + 1

5 + 4 = 2 + 7 7 + w = 7 + w 9 = 9

Exp (3 + 4) + x = 3 + (4 + x) 7 + x = 7 + x

Associative property will not work for subtraction

Associative Property of Addition

If a and b represent any real numbers then(a b) c = a (b c)

The order that you multiply does not matter same results

Exp (2 6) 4 = 2 (6 4) 12 4 = 2 24 48 = 48

Exp (3 7) x = 3 (7 x) 21 x = 21 x 21x = 21x

Associative property will not work for divisionThe associative property changes grouping

Associative Property of Multiplication

If a and b represent any real numbers thena(b + c) = ab + ac

The order that you multiply does not matter same results

Exp 3(2 + 4) = (3)(2) + (3)(4) (3)(6) = 6 + 12 18 = 18

Exp 6(x ndash 9) = (6)(x) ndash (6)(9)6x ndash (6)(9) = 6x ndash 546x ndash 54 = 6x ndash 54

Expand a (b + c + d + e + f + hellip + n) = ab + ac + ad + ae + af + hellip + an

Distributive Property

Identity Property of AdditionIf a and b represent any real numbers thena + 0 = a and 0 + a = a Zero is the identity element of addition

Exps 3 + 0 = 3 6 + 0 = 6 50 + 0 = 50

Identity Property of MultiplicationIf a and b represent any real numbers thena 1 = a and 1 a = a One is the identity element of Multiplication

Exp 3 1 = 3 6 1 = 6 50 1 = 50

Identity Property

Inverse Property of AdditionIf a and b represent any real numbers thena + (-a) = 0 and -a + a = 0 Additive inverses are any two numbers whose sum is 0 or opposites

Exp 3 + (-3) = 0 6 + (-6) = 0 50 + (-50) = 0

Inverse Property of MultiplicationIf a and b represent any real numbers thena = 1 and a = 1 a ne 0

Multiplicative inverses are any two numbers whose product is 1 or reciprocal

Exp 3 = 1 6 = 1 50 = 1

Inverse Property

1

a

1

a

1

50

1

6

1

3

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 5: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

If a and b represent any real numbers then(a b) c = a (b c)

The order that you multiply does not matter same results

Exp (2 6) 4 = 2 (6 4) 12 4 = 2 24 48 = 48

Exp (3 7) x = 3 (7 x) 21 x = 21 x 21x = 21x

Associative property will not work for divisionThe associative property changes grouping

Associative Property of Multiplication

If a and b represent any real numbers thena(b + c) = ab + ac

The order that you multiply does not matter same results

Exp 3(2 + 4) = (3)(2) + (3)(4) (3)(6) = 6 + 12 18 = 18

Exp 6(x ndash 9) = (6)(x) ndash (6)(9)6x ndash (6)(9) = 6x ndash 546x ndash 54 = 6x ndash 54

Expand a (b + c + d + e + f + hellip + n) = ab + ac + ad + ae + af + hellip + an

Distributive Property

Identity Property of AdditionIf a and b represent any real numbers thena + 0 = a and 0 + a = a Zero is the identity element of addition

Exps 3 + 0 = 3 6 + 0 = 6 50 + 0 = 50

Identity Property of MultiplicationIf a and b represent any real numbers thena 1 = a and 1 a = a One is the identity element of Multiplication

Exp 3 1 = 3 6 1 = 6 50 1 = 50

Identity Property

Inverse Property of AdditionIf a and b represent any real numbers thena + (-a) = 0 and -a + a = 0 Additive inverses are any two numbers whose sum is 0 or opposites

Exp 3 + (-3) = 0 6 + (-6) = 0 50 + (-50) = 0

Inverse Property of MultiplicationIf a and b represent any real numbers thena = 1 and a = 1 a ne 0

Multiplicative inverses are any two numbers whose product is 1 or reciprocal

Exp 3 = 1 6 = 1 50 = 1

Inverse Property

1

a

1

a

1

50

1

6

1

3

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 6: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

If a and b represent any real numbers thena(b + c) = ab + ac

The order that you multiply does not matter same results

Exp 3(2 + 4) = (3)(2) + (3)(4) (3)(6) = 6 + 12 18 = 18

Exp 6(x ndash 9) = (6)(x) ndash (6)(9)6x ndash (6)(9) = 6x ndash 546x ndash 54 = 6x ndash 54

Expand a (b + c + d + e + f + hellip + n) = ab + ac + ad + ae + af + hellip + an

Distributive Property

Identity Property of AdditionIf a and b represent any real numbers thena + 0 = a and 0 + a = a Zero is the identity element of addition

Exps 3 + 0 = 3 6 + 0 = 6 50 + 0 = 50

Identity Property of MultiplicationIf a and b represent any real numbers thena 1 = a and 1 a = a One is the identity element of Multiplication

Exp 3 1 = 3 6 1 = 6 50 1 = 50

Identity Property

Inverse Property of AdditionIf a and b represent any real numbers thena + (-a) = 0 and -a + a = 0 Additive inverses are any two numbers whose sum is 0 or opposites

Exp 3 + (-3) = 0 6 + (-6) = 0 50 + (-50) = 0

Inverse Property of MultiplicationIf a and b represent any real numbers thena = 1 and a = 1 a ne 0

Multiplicative inverses are any two numbers whose product is 1 or reciprocal

Exp 3 = 1 6 = 1 50 = 1

Inverse Property

1

a

1

a

1

50

1

6

1

3

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 7: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

Identity Property of AdditionIf a and b represent any real numbers thena + 0 = a and 0 + a = a Zero is the identity element of addition

Exps 3 + 0 = 3 6 + 0 = 6 50 + 0 = 50

Identity Property of MultiplicationIf a and b represent any real numbers thena 1 = a and 1 a = a One is the identity element of Multiplication

Exp 3 1 = 3 6 1 = 6 50 1 = 50

Identity Property

Inverse Property of AdditionIf a and b represent any real numbers thena + (-a) = 0 and -a + a = 0 Additive inverses are any two numbers whose sum is 0 or opposites

Exp 3 + (-3) = 0 6 + (-6) = 0 50 + (-50) = 0

Inverse Property of MultiplicationIf a and b represent any real numbers thena = 1 and a = 1 a ne 0

Multiplicative inverses are any two numbers whose product is 1 or reciprocal

Exp 3 = 1 6 = 1 50 = 1

Inverse Property

1

a

1

a

1

50

1

6

1

3

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 8: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

Inverse Property of AdditionIf a and b represent any real numbers thena + (-a) = 0 and -a + a = 0 Additive inverses are any two numbers whose sum is 0 or opposites

Exp 3 + (-3) = 0 6 + (-6) = 0 50 + (-50) = 0

Inverse Property of MultiplicationIf a and b represent any real numbers thena = 1 and a = 1 a ne 0

Multiplicative inverses are any two numbers whose product is 1 or reciprocal

Exp 3 = 1 6 = 1 50 = 1

Inverse Property

1

a

1

a

1

50

1

6

1

3

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 9: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

29 pg 84) p (q r) = (p q) rAssociative Property of Multiplication

24 pg 84) 3 + y = y + 3Commutative Property of Addition

31 pg 84) 4(d + 3) = 4d + 12Distributive Property

28 pg 84) -4x + 4x = 0Inverse Property of Addition

33 pg 85) 3z 1 = 3zIdentity Property of Multiplication

Name the property

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 10: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

Exp 4(x ndash 7) = 4x + (4)(-7)4(x ndash 7) = 4x ndash 28Distributive Property

Exp 5y + (-5y) = 0Inverse Property of Addition

Name the property

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 11: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

Exp (3 6) 9 =(3 6) 9 = 3 (6 9)Associative Property of Multiplication

Exp 7(x ndash 4) = 7(x ndash 4) = 7x ndash 28 Distributive Property

33 pg 85) 6b + 0 = 6b + 0 = 6bIdentity Property of Addition

Complete the equation and name the property

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53

Page 12: MTH 11203 Algebra PROPERTIES OF THE REAL NUMBER SYSTEM CHAPTER 1 SECTION 10.

HOMEWORK 110

Page 84 ndash 8523 25 27 37 39 41 43 53


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