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Algebra 2Section 2:
Properties of Real Numbers
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Identity Properties
• What does the word identity mean?
• Additive Identity Property:
• Multiplicative Identity Property:
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Inverse Properties
• What does the word inverse mean?
• Additive Inverse:
• Multiplicative Inverse:
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Example 1: Find the additive and multiplicative inverse of each number.
A) 12 B)
−94
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Closure Property
• Real + Real = _________
• Real * Real = _________
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Commutative Property
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Associative Property
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Distributive Property
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Example 2: Identify the property demonstrated by each equation.
a) b) 2 • 3.9 =3.9 • 2 3(2 8) =(3• 2) 8
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Example 3: Use mental math to find a 15% tip on a bill of $18.52.
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Example 4: Use mental math to find 5% tax on a $42.40 purchase.
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Example 5: Classify each statement as sometimes, always, or never true. Give examples
of properties to support your answers.
A) B) 3(a+1) = 3a + 3 a • b=a when b=3
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Assignment #2
• Page 17 #’s 15-31,(64)