Associative Properties
( × 5 ) × 4 = 5 × ( × 99 )
( 99 × 5 ) × 4 = 5 × ( 4 × 99 )
6 × 17 = × 6
6 × 17 = 17 × 6
In commutative property, does the order in which we multiply change the answer?
Triple Points
No
What's missing????
38 × 66 = 66 ×
38 × 66 = 66 × 38
73 × 3 = 3 × 73
Commutative
6 × ( × 87 ) = ( 52 × ) × 6
6 × ( 52 × 87 ) = ( 52 × 87 ) × 6
× 8 = 8 × 41
41 × 8 = 8 × 41
Does the way the numbers are grouped in a problem change the product of those numbers.
Triple Points
No
What's missing????
3 × 6 = 6 × 3
Nothing
3 × 6 = 6 × 3
( 76 × ) × 9 = ( × 3 ) × 76
Associative
× ( 42 × 16 ) = 16 × ( × 61 )
61 × ( 42 × 16 ) = 16 × ( 42 × 61 )
23 × 4 = 4 ×__
23 × 4 = 4 × 23
Is this correct? 3 × 74 = 74 × 3
Yes
4 × = 28 ×
What's missing
4 × 28 = 28 × 4
( × 87 ) × 17 = 17 × ( × 4 ) + 20 × ( 31 × 6 ) = ( 6 × 20 ) × 31
Associative
( 39 × 93 ) × = ( 68 × ) × 93
( 39 × 93 ) × 68 = ( 68 × 39 ) × 93
2 × 87 = × 2
2 × 87 = 87 × 2
Is this equation correcct?
27 × ( 67 × 39 ) = 27 × ( 39 × 67 )
27 × ( 67 × 39 ) = 27 × ( 39 × 67 )
93 × 64 = 64 ×
93 × 64 = 64 × 93
( × 7 ) × 6 = ( × 5 ) × 6
2 × 88 = 88 × 2
Triple Points
Both associative and commutative
( 55 × 2 ) × = ( 35 × 2 ) ×
( 55 × 2 ) × 35 = ( 35 × 2 ) × 55
3 × 88 = 88 ×___
3 × 88 = 88 × 3
Is this equation correct?
28 × 97= 79 × 28
No
28 × 79 = 79 × 28
( 6 × 69 ) × = 15 × ( 6 × )
Triple Points
( 6 × 69 ) × 15 = 15 × ( 6 × 69 )
Are these properties going to show up in algebra???
YESSSSSSSSSSSSSSSSSS!!!!!!!