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Properties of Real Numbers
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 Properties of Real Numbers Properties of Real Numbers Properties of Real Numbers Properties of Real Numbers Properties of Real Numbers 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Final Question

x + 9 = 9 + x
x + 9 = 9 + x
Commutative
( 5 y ) • ( 1 ) = 5 y
( 5 y ) • ( 1 ) = 5 y
identity
2( x + 3 ) = 2x + 6
2( x + 3 ) = 2x + 6
distributive
x + ( y + 3 ) = x + ( 3 + y )
x + ( y + 3 ) = x + ( 3 + y )
commutative
Write your own associative property example
Write your own associative property example

( x y ) z = x ( y z )
( x y ) z = x ( y z )
associative
1+2+3+4=4+3+2+1
1+2+3+4=4+3+2+1
commutative
2(x + y) = 2x + 2y
2(x + y) = 2x + 2y
distributive
This artist sings 'Just the way you are'
This artist sings 'Just the way you are'
Bruno Mars
4x – 8 = 4(x – 2)
4x – 8 = 4(x – 2)
distributive
a + 0 = a
a + 0 = a
identity
Mike from the show Jersey Shore, has this nickname
Mike from the show Jersey Shore, has this nickname
'The situation'
2(3×4) = (2×3)4
2(3×4) = (2×3)4
associative
2 + (3 + 4) = (4 + 3) + 2
2 + (3 + 4) = (4 + 3) + 2
commutative
3x + 3y = 3(x+y)
3x + 3y = 3(x+y)
distributive
This L.A. Laker wears number 16 and was born from Barcelona, Spain
This L.A. Laker wears number 16 and was born from Barcelona, Spain
Pau Gasol
3+4=4+3
3+4=4+3
commutative
1 + (2 + 3) = (1 + 2) + 3
1 + (2 + 3) = (1 + 2) + 3
associative
(4 + y) + 0 = 4 + y
(4 + y) + 0 = 4 + y
identity
In family guy, who does Chris live in fear of?
In family guy, who does Chris live in fear of?
The angry monkey in his closet
0 + a = a
0 + a = a
identity
2 * (4 * 3) = (2 * 4) * 3
2 * (4 * 3) = (2 * 4) * 3
associative
What LA sports team has a mascot named 'Cozmo,' a frog like alien? You might see him at the Home Depot Center
What LA sports team has a mascot named 'Cozmo,' a frog like alien? You might see him at the Home Depot Center
LA Galaxy
b * (c * d) = (c * d) * b
b * (c * d) = (c * d) * b
commutative
This rapper is 'Not Afraid'
This rapper is 'Not Afraid'
Eminem
Often said by Mike 'The Situation,' on Jersey Shore, what does 'GTL' mean?
Often said by Mike 'The Situation,' on Jersey Shore, what does 'GTL' mean?
Gym, tanning, laundry

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