Properties of Real Numbers
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
Standards-aligned
Brian Cox
Used 4+ times
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15 Slides • 4 Questions
1
By Brian Cox
2
The commutative property allows us to switch the order of an expression, without changing the expressions value.
3
Multiplication
Addition
4
Multiple Select
Which example(s) below illustrates the commutative property?
4+(−3)+8=4+8+(−3)
5(x+2)=5x+10
3(2x)=(3⋅2)x
4⋅9⋅5=9⋅4⋅5
5
The associative property allows us to change the grouping of an expression without changing the expressions value.
6
Multiplication
Addition
7
Multiple Select
Which example(s) below illustrates the associative property?
4+(6+3)=(4+6)+3
5(x+2)=(x+2)5
3x+24=3(x+8)
6x⋅3=(6⋅3)x
8
The distributive property states that the product of a number and the sum or difference of two numbers is the same as the sum or difference of their products.
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Division
Multiplication
10
Multiple Select
Which example(s) below illustrates the distributive property?
4(x+7)=(x+7)4
15x+60=15(x+4)
6(3x)=(6⋅3)x
34+311=34+11
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The additive identity of a number is the value that when added to the original value, leaves the value unchanged.
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The additive identity is 0.
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The multiplicative identity of a number is the value that when multiplied by the original value, leaves the value unchanged.
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The multiplicative identity is 1.
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The additive inverse of a number is the value that when added to the original value, results in the identify value.
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The additive inverse of a number is the opposite of the original number.
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The multiplicative inverse of a number is the reciprocal of the original number.
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The multiplicative inverse of a number is the value that when multiplied by the original value, results in the identify value.
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Categorize
4n+0=4n
x2⋅1=x2
4y+−4y=0
83⋅38=1
Match each example with the correct property.
By Brian Cox
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