Bell Work

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Bell Work

• Use the Order of Operations to evaluate
• 1.
• 2.
• 3.

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Go over HW

• Pg 47 15 20

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Sums and Products
SUMS SUMS
Column A Column B
56 11 11 56
28 32 32 28
13 87 87 13
Products Products
Column A Column B
6 11 11 6
8 9 9 8
10 54 54 10
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Commutative Property of Real Numbers
Commutative Property of Addition Commutative Property of Multiplication
a b b a a b b a
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Sums and Products
SUMS SUMS
Column A Column B
(12 8) 15 12 (8 15)
(39 4) 16 39 (4 16)
(24 36) 7 24 (36 7)
Products Products
Column A Column B
(2 5) 16 2 (5 16)
(20 5) 13 20 (5 13)
(3 11) 10 3 (11 10)
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Associative Property of Real Numbers
Associative Property of Addition Associative Property of Multiplication
(a b) c a (b c) (a b) c a (b c)
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Distributive Property
Distributive Property of Multiplication over Addition Distributive Property of Multiplication Over Subtraction
a(b c) ab ac a(b c) ab - ac
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Identity Property of Real Numbers
Identity Property of Addition Identity Property of Multiplication
a 0 0 a a a 1 1 a a
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Inverse Property of Real Numbers
Inverse Property of Addition Inverse Property of Multiplication
-a is the additive inverse of a 1/a is the multiplicative inverse of a
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Properties of Equality For Real Numbers
Reflexive a a
Symmetric If a b, then b a.
Transitive If a b and b c, then a c.
Substitution If a b, then b can be substituted in for a.
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Using these Properties

• Complete each step, and name the property used.

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Using these Properties

• Complete each step, and name the property used.

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(No Transcript)
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Summary

• Why do we need to justify our answers?
• What are the properties of real numbers?
• What did you learn today?

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Homework

• Worksheet