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WorksheetsMastering the Distributive Property
Total questions: 145
Worksheet time: 7hrs 40mins
Which of the following is an example of the distributive property?
a+b=b+a
a×(b+c)=a×b+a×c
a×b=b×a
a+(b+c)=(a+b)+c
What is the result of 7×(10+2) using the distributive property?
7×12
7×10+7×2
7+10+2
7×10×2
Which property allows you to break apart 6×14 into 6×10+6×4 ?
Associative Property
Distributive Property
Commutative Property
Identity Property
What is 8×5 ?
35
40
45
48
What is 9×13 ?
117
112
119
123
Break down the number 16 into two parts.
10 and 6
8 and 8
12 and 4
All of the above
Which of the following is the correct way to write 5×18 using the distributive property?
5×10+5×8
5+18
5×18×1
5×(10+8)
What is 7×12 ?
72
84
96
64
Which of the following shows the distributive property for 4×(9+3) ?
4×9+4×3
4+9+3
4×12
4+(9+3)
What is 6×15 ?
90
80
75
95
Use the distributive property to solve 3×(20+5) .
3×20+3×5=60+15=75
3×25=75
3+20+5=28
3×20×5=300
Which of the following is the correct way to use the distributive property for 8×17 ?
8×10+8×7
8+17
8×17×1
8×(10+7)
Apply the distributive property to 9×(11+3) and solve.
9×11+9×3=99+27=126
9×14=126
9+11+3=23
9×11×3=297
Break down 24 into two parts to help solve 6×24 using the distributive property.
20 and 4
12 and 12
10 and 14
All of the above
Which of the following is the correct application of the distributive property for 7×16 ?
7×10+7×6
7+16
7×16×1
7×(10+6)
Solve 5×(13+7) using the distributive property.
5×13+5×7=65+35=100
5×20=100
5+13+7=25
5×13×7=455
Which of the following is the correct way to use the distributive property for 4×19 ?
4×10+4×9
4+19
4×19×1
4×(10+9)
If you break 15 into 10 and 5, how would you use the distributive property to solve 6×15 ?
6×10+6×5
6+10+5
6×15×1
6×(10+5)
A box has 14 apples. If there are 3 boxes, how many apples are there in total? Use the distributive property to solve.
3×10+3×4=30+12=42
3×14=42
3+14=17
3×14×1=42
Sarah wants to buy 5 packs of pencils. Each pack has 18 pencils. How many pencils does she have in total? Use the distributive property.
5×10+5×8=50+40=90
5×18=90
5+18=23
5×18×1=90
A class has 12 students in each row. There are 7 rows. How many students are there in total? Use the distributive property to solve.
7×10+7×2=70+14=84
7×12=84
7+12=19
7×12×1=84
A baker bakes 9 trays of cookies. Each tray has 16 cookies. How many cookies are there in total? Use the distributive property.
9×10+9×6=90+54=144
9×16=144
9+16=25
9×16×1=144
A gardener plants 8 rows of flowers. Each row has 15 flowers. How many flowers are there in total? Use the distributive property.
8×10+8×5=80+40=120
8×15=120
8+15=23
8×15×1=120
A store sells 6 boxes of crayons. Each box has 14 crayons. How many crayons are there in total? Use the distributive property.
6×10+6×4=60+24=84
6×14=84
6+14=20
6×14×1=84
A farmer has 5 baskets. Each basket has 19 apples. How many apples does the farmer have? Use the distributive property.
5×10+5×9=50+45=95
5×19=95
5+19=24
5×19×1=95
A teacher has 4 boxes of markers. Each box has 18 markers. How many markers are there in total? Use the distributive property.
4×10+4×8=40+32=72
4×18=72
4+18=22
4×18×1=72
A group of friends collects 7 bags of marbles. Each bag has 13 marbles. How many marbles do they have in total? Use the distributive property.
7×10+7×3=70+21=91
7×13=91
7+13=20
7×13×1=91
A library has 8 shelves. Each shelf has 17 books. How many books are there in total? Use the distributive property.
8×10+8×7=80+56=136
8×17=136
8+17=25
8×17×1=136
A coach has 6 teams. Each team has 15 players. How many players are there in total? Use the distributive property.
6×10+6×5=60+30=90
6×15=90
6+15=21
6×15×1=90
A baker makes 9 cakes. Each cake needs 12 strawberries. How many strawberries does the baker need in total? Use the distributive property.
9×10+9×2=90+18=108
9×12=108
9+12=21
9×12×1=108
A teacher arranges 5 rows of desks. Each row has 12 desks. How many desks are there in total? Use the distributive property to solve.
5+12=17
5×12=60
5×10+5×2=50+10=60
5×12×1=60
Apply the distributive property to 8×(9+6) and solve.
8×9×6=432
8+9+6=23
8×15=120
8×9+8×6=72+48=120
Which of the following is the correct way to use the distributive property for 6×17 ?
6×10+6×7
6+17
6×(10+7)
6×17×1
Which of the following is the correct way to use the distributive property for 7×14 ?
7×(10+4)
7×14×1
7×10+7×4
7+14
A farmer packs 6 baskets of apples. Each basket has 13 apples. How many apples are there in total? Use the distributive property.
6+13=19
6×13×1=78
6×13=78
6×10+6×3=60+18=78
Use the distributive property to solve 4×(15+2) .
4+15+2=21
4×17=68
4×15×2=120
4×15+4×2=60+8=68
Use the distributive property to solve 4×(15+6) .
4×15×6=360
4×15+4×6=60+24=84
4×21=84
4+15+6=25
A classroom has 7 tables. Each table has 16 books. How many books are there in total? Use the distributive property.
7×16=112
7×16×1=112
7+16=23
7×10+7×6=70+42=112
Which of the following shows the distributive property for 5×(12+8) ?
5×12+5×8
5+(12+8)
5+12+8
5×20
16 x 34
544
545
644
455
41 x 24
856
768
998
984
55 x 31
1700
175
1705
115
Which equivalent expression shows using the Distributive Property to solve: 8 x 49
Which equivalent expression shows using the Distributive Property to solve: 8 x 24
Which equivalent expression shows using the Distributive Property to solve: 2 x 94
What equation can be written by using the area model of multiplication pictured?
74 X 2 =
70 X 2 + 4 X 2
(70 X 2) + (4 X 2)
72 + 6
Using Area Model Multiplication, solve the following equation. (Use your scratch paper)
76
144
148
146
What is this multiplication strategy called?
Array
Area Model
Repeated Addition
Based on the area model, what is the product of 13 and 7?
70
21
91
What is the product of this area model?
1,248
624
2
Which model represents 24 x26?
What is the missing partial product in the area model for 11 x 29?
60
70
90
100
Which model represents 32 x 28?
Which partial product is needed to complete section A.
100
70
90
63
What is the total area for 14 x 14.
280
204
182
196
Which multiplication problem represents the array?
21 x 13
25 x 15
15 x 13
15 x 20
Choose the correct partial products that represents the array.
50 + 50 + 20 + 13
100 + 50 + 30 + 13
100 + 40 + 30 + 12
50 + 40 + 20 + 12
Find the product of 14 x 21.
214
184
284
294
Last autumn, Abby raked leaves in her neighbors' yard 23 times. She earned $15 each time she raked leaves. Use the model to answer the question. How much money did Abby earn raking leaves last autumn?
$110
$275
$245
$345
Which expression makes this equation true?
17 x 15=
(10 x 7) + (10 x 5)
(10 x 10) + (7 x 5)
(17 x 10) + (17 x 5)
(17 x 1) + (17 x 5)
The area model represents 38 X 16.
Which answer shows all the correct partial products?
300 + 180 + 8 + 48
300 + 180 + 80 + 48
30 + 180 + 80 + 48
300 + 18 + 80 + 48
The area model represents 43 X 56.
Which answer shows all the correct partial products?
20 + 24 + 150 + 18
200 + 240 + 150 + 18
2000 + 240 + 150 + 18
2000 + 240 + 15 + 18
What is this multiplication strategy called?
Array
Area Model
Repeated Addition
Based on the area model, what is the product of 13 and 7?
70
21
91
What is the product of this area model?
1,248
624
2
What is the multiplication equation of this area model?
624 x 2
1,248 x 2
600,204 x 2
What is the final step of finding the product of this area model?
600 + 20 + 4
1,200 + 40 + 8
600 + 1,200
What is the multiplication equation of this area model?
13 x 7
103 x 7
91 x 7
What is the final step of finding the product of this area model?
70 + 21
10 + 3
91 + 7 + 13
What is the missing number in the following area model?
225
9
50
Use the area model to solve 4x54
330
220
216
What partial product goes in area A in this area model?
120
1,200
700
What is the right order of steps for multiplication with the Area model?
Add up all the partial products, Break the numbers into expanded form, multiply to find the partial products.
Break the numbers into expanded form, multiply to find the partial products, and then add up all of the partial products.
What number goes in the green rectangle?
35
14
45
What multiplication equation matches this Area Model?
6 + 54
45 x 6
54 x 6
What is the final answer?
300
324
342
What equation matches this Area Model?
334 x 4
4 x 343
165 x 4
Solve this problem. Take your time.
1,272
1,372
12,030
Complete the ratio table.
2
4
0
1
Complete the ratio table.
6
8
9
5
Complete the ratio table.
6 & 15
4 & 12
3 & 8
6 & 18
Complete the ratio table.
9 & 12
8 & 10
6 & 8
4 & 6
What is the value of B in the ratio table?
28
70
49
56
Solve for A in the ratio table.
A= 40
A= 10
A= 9
A= 45
Complete the ratio table.
2
4
0
1
Complete the ratio table.
6
8
9
5
Complete the ratio table.
6 & 15
4 & 12
3 & 8
6 & 18
Complete the ratio table.
9 & 12
8 & 10
6 & 8
4 & 6
What is the value of B in the ratio table?
28
70
49
56
Solve for A in the ratio table.
A= 40
A= 10
A= 9
A= 45
Mila is packing 18 jars into boxes. Each box will hold 4 jars. How many boxes will she fill?
Add 1 to the quotient for the answer
Ignore the remainder
The remainder is the answer
Trey has 34 stickers to put in a sticker book. Each page in the book holds 5 stickers. How many pages will he need to hold his stickers?
Add 1 to quotient for the answer
Ignore the remainder
The remainder is the answer
Daniel has 120 baseball cards. How many cards will he have left over if he gives his seven friends the same amount of cards?
Add 1 to the quotient for the answer
Ignore the remainders
The remainder is the answer
Valerie had a jug that contained 128 fl oz of salsa to put into bowls at a restaurant. She filled each bowl with 6 fl oz of salsa until there was not enough salsa left in the jug to completely fill another bowl. How many fluid ounces of salsa were left in the jug?
Add 1 to the quotient for the answer
Ignore the remainder
The remainder is the answer
A bakery is packaging cookies into bags of 8 cookies. The baker has 154 cookies. How many complete bags of cookies can be made?
Add 1 to the quotient for the answer
Ignore the remainder
The remainder is the answer
There are 139 fourth-grade students going on a field trip. The school is using vans that can hold 9 students. How many vans are needed for the field trip?
Add 1 to the quotient for the answer
Ignore the remainder
The remainder is the answer
66
68
67
70
