Download Lesson 2-5 Properties of Numbers

Name_____________________________________ Class____________________________ Date________________
Lesson 2-5
Properties of Numbers
1
Identify properties
NAEP 2005 Strand: Geometry
Topic: Mathematical Reasoning
2
Use deductive reasoning
Local Standards: ____________________________________
Lesson Objectives
Vocabulary and Key Concepts.
Commutative Property of Addition
Commutative Property of Multiplication
Example 3 7 Example 3 ? 7 +
Example (6 4) 5 (
?
Associative Property of Multiplication
)
Example (6 ? 4) ? 5 (
?
?
Identity Property of Addition
Identity Property of Multiplication
Example 9 0 Example 6 ? 1 Inverse Property of Addition
For every a, there is an additive inverse
Example 5 (5) such that
.
Inverse Property of Multiplication
For every a (a 0), there is a multiplicative inverse 1a such that
Example 5 ?
)
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Associative Property of Addition
All rights reserved.
Properties of Real Numbers
For every real number a, b, and c,
.
1
is the process of reasoning logically from given facts to a conclusion.
Examples.
1 Identifying Properties Name the property each equation illustrates. Explain.
a. 3 ? a a ? 3 illustrates
,
because
b. p ? 0 0 illustrates
,
because
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Algebra 1 Lesson 2-5
Daily Notetaking Guide
L1
Name_____________________________________ Class____________________________ Date ________________
2 Justifying Steps Simplify 3x 4(x 8). Justify each step.
3x 4(x 8) 3x (
Property
)x 32
Property
x 32
32
Subtract.
of Multiplication
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Quick Check.
1. Name the property that each equation illustrates. Explain.
a. (3 4) 5 –3 (4 5)
b. 3(8 ? 0) (3 ? 8)0
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
c. np pn
2. Simplify the expression. Justify each step.
5a 6 a
L1
Daily Notetaking Guide
Algebra 1 Lesson 2-5
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