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WorksheetsAssociative, Commutative & Distributive Laws
Total questions: 30
Worksheet time: 15mins
5 + 9 = 14, so 9 + 5 =
11
14
9
16
What is the missing number?
3 x ____ = 9 x 3
7
10
9
11
Which one of the following illustrates the Commutative Law of addition?
5 +7 = 7 + 5
5 +7 = 3 + 9
5 + 7 = 4 + 8
5 +7 = 10 + 2
Which of the following illustrates the Commutative Law of multiplication?
3 x 4 = 6 x 2
3 x 4 = 2 x 6
3 x 4 = 12 x 1
3 x 4 = 4 x 3
8 + 4 = 12, so 4 + 8 =
12
13
3
14
What is the missing number?
4 x ____ = 6 x 4
4
6
7
8
What is the missing number?
4 + ( ___ + 5) = (4 + 7) + 5
5
7
8
9
7 + (4 +2) = 13, so (7 + 4) + 2 =
10
13
14
15
What is the missing number?
5 x ( ___ x 9) = (5 x 8) x 9
5
8
9
10
5 x (2 x 9) is also equal to :
5 - (2 - 9)
5 x 2 - 9
(5 x 2) x 9
5 x 11
Which one of the following illustrates the Associative Law of addition?
3 + (2 + 4) = (4 + 4) + 1
3 + (2 + 4) = (3 + 2) + 4
3 + (2 + 4) = (5 + 2) + 2
3 + (2 + 4) = (2 + 6) + 1
Which of the following illustrates the Associative Law of multiplcation ?
4 x (3 x 6) = (6 x 6) x 2
4 x (3 x 6) = (3 x 12) x 2
4 x (3 x 6) = (4 x 3) x 6
4 x (3 x 6) = (3 x 8) x 3
9 + (3 + 4) = 16, so (9 + 3) + 4 =
26
9
17
16
What is the missing number?
2 + (___ + 4) = (2 + 6) + 4
4
7
8
6
Do this without using a calculator
Calculate 39 x 63 + 39 x 37
3.510
3.900
4.290
97.812
Do this without using a calculator
Calculate : 81 x 450 + 81 x 550
20.092.050
89.100
81.000
72.900
Do this without using a calculator
Calculate : 77 x 58 + 23 x 58
6.380
260.362
5.220
5.800
Do this without using a calculator
Calculate : 734 x 11 + 266 x 11
11.000
10.890
91.740
11.110
Do this without using a calculator
Calculate : 50 x 161 - 50 x 81
648.000
4.500
4.000
3.500
Do this without using a calculator
Calculate : 827 x 60 - 327 x 60
24.000
36.000
30.000
2.957.580
Mr. Dale has 2 sticker books. Each sticker book has 4 pages and each page has 4 stickers. How many stickers does Mr. Dale have total?
17 stickers
10 stickers
32 stickers
12 stickers
Mary buys 3 of her friend's a pair of gloves. Those friends buy 2 friends gloves. How many gloves were purchased total?
6 gloves
12 gloves
14 gloves
22 gloves
Which property states that you can change the grouping when adding/multiplying and STILL get the same answer?
commutative property
associative property
distributive property
Which property states that you can change the order of the numbers when adding/multiplying and STILL get the same answer?
commutative property
associative property
distributive property
True or False? Commutative property can be used with subtraction/division.
True, you can change the order with these operations and get the same answer.
False, you cannot change the order because it gives you a different answer.
True or False? Associative property can be used when subtracting/dividing.
True, you can change the grouping in subtraction/division problems.
False, you cannot change the grouping in subtraction/division problems.
Determine which equation shows associative property.
(a + b) + c = a + (b+ c)
abc = cab
a(b+c) = ab + ac
(a+b) + c = (b+a) + c
Determine which equation shows associative property.
2 + 4 + 6 = 6 + 4 + 2
(2 + 4) + 6 = 2 + (4+6)
2 (6-4) = 2(6) - 2(4)
(2+4) + 6 = (4+2)+6
Determine which equation shows commutative property.
7y + 8 + 10 y = 17y + 8
7y + 8 + 10 y = 7y + 10y + 8
7y + 8 + 10y = 8(7y + 10y)
Determine which equation shows distributive property.
8(10-2) = 8(10) - 8(2)
8(10-2) = 8(10) + 8(2)
8(10-2) = 8(10) x 8(2)
8(10-2) = (8x10)-2
