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SWBAT: Identify and Apply Properties of Real Numbers
Lesson 1-4.1
Do Now:
1.​ Kyoko’s mathematics teacher gave her the accompanying cards and asked her to arrange the ​
cards in order from least to greatest. In what order should Kyoko arrange the cards? ​
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2.​ Which property of real numbers is illustrated by the equation ​
1) additive identity
2) commutative property of addition
3) associative property of addition
4) additive inverse
3.​ The value of ​
is a real and irrational number when x is equal to
1) 5
2) 0
3)
4) 4
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4.​ Which statement best illustrates the additive identity property?
1)
2)
3)
4)
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5.​ Which statement is not always true?
1) The product of two irrational numbers is irrational.
2) The product of two rational numbers is rational.
3) The sum of two rational numbers is rational.
4) The sum of a rational number and an irrational number is irrational.
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SWBAT: Identify and apply properties of real numbers
Lesson 1-4
Property
Definition
2 Examples
Distributive
Property
Additive Identity
Property
Multiplicative
Identity
Property
Additive Inverse
Property
Multiplicative
Inverse
Property
Zero Property
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SWBAT: Identify and apply properties of real numbers
Lesson 1-4
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Assignment #4
Word Bank:
C ommutative Property of Addition
C ommutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Distributive Property
Additive Identity Property
Multiplicative Identity Property
Additive Inverse Property
Multiplicative Inverse Property
Zero Property
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1)​ ​ Rewrite using the ​commutative property :​ ​
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3 + 7 = _____________ ​
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a + (b + c) = _______________ ​
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2)​ ​ Rewrite using the ​a ssociative property:​ ​
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7*(4*6) = _______________ ​
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(5 + 1) + 4 = ___________________ ​
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3)​ ​ Rewrite using the ​distributive property:​ ​
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2(3 + 5) = _______________________ ​
x(d + m) = ________________________ ​
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4)​ ​ A method for solving 5(x​ ​ – 2) - 2(x​ -​ 5) = 9 is shown below. ​
Identify the property ​ used to obtain each of the two indicated steps. ​
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Identify which property is illustrated for each example. ​
5)
x (yz) = x (zy)
____________________
6)
x(yz) = (xy)z
____________________
7)
(x + y) + z = (y + x) + z
____________________
8)
x + (–x) = (–x) + x
____________________
9)
1(x) = x
____________________
10) (x + y) + z = x + (y + z)
____________________
____________________
11)
____________________
10)
x+0 = x
x(y – z) = xy – xz
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