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EXAMPLE 3 PowerPoint PPT Presentation


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1. 7 + 4 = 4 + 7. 13 = 1. 13. EXAMPLE 3. Identify properties of real numbers. Identify the property that the statement illustrates. SOLUTION. Commutative property of addition. SOLUTION. Inverse property of multiplication. a + (2 – a ). = a + [2 + (– a )]. EXAMPLE 4.

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EXAMPLE 3

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Slide1 l.jpg

1

7 + 4 = 4 + 7

13 = 1

13

EXAMPLE 3

Identify properties of real numbers

Identify the property that the statement illustrates.

SOLUTION

Commutative property of addition

SOLUTION

Inverse property of multiplication


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a + (2 – a)

= a + [2 + (– a)]

EXAMPLE 4

Use properties and definitions of operations

Use properties and definitions of operations to show that a + (2 – a) = 2. Justify each step.

SOLUTION

Definition of subtraction

= a + [(– a) + 2]

Commutative property of addition

= [a + (– a)] + 2

Associative property of addition

= 0 + 2

Inverse property of addition

Identity property of addition

= 2


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(2 3) 9 = 2 (3 9)

15 + 0 = 15

for Examples 3 and 4

GUIDED PRACTICE

Identify the property that the statement illustrates.

SOLUTION

Associative property of multiplication.

SOLUTION

Identityproperty of addition.


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4(5 + 25) = 4(5) + 4(25)

1 500 = 500

for Examples 3 and 4

GUIDED PRACTICE

Identify the property that the statement illustrates.

SOLUTION

Distributive property.

SOLUTION

Identityproperty of multiplication.


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b (4 b) = 4 whenb = 0

1

1

1

b (4 b)

= b (4 )

b

b

b

= b ( 4)

= (b ) 4

= 1 4

for Examples 3 and 4

GUIDED PRACTICE

Use properties and definitions of operations to show that the statement is true. Justify each step.

SOLUTION

Def. of division

Comm. prop. of multiplication

Assoc. prop. of multiplication

Inverse prop. of multiplication

= 4

Identity prop. of multiplication


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3x + (6 + 4x) = 7x + 6

3x + (6 + 4x)

= 3x + (4x + 6)

for Examples 3 and 4

GUIDED PRACTICE

Use properties and definitions of operations to show that the statement is true. Justify each step.

SOLUTION

Comm. prop. of addition

= (3x + 4x) + 6

Assoc. prop. of addition

Combine like terms.

= 7x + 6


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