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Distributive Property Worksheets

Distributive Property Worksheets
  • Page 1
 1.  
Each person in a factory makes 49 shoes per day. If there are 77 people working in the factory, how many shoes are made per day?
a.
3783
b.
3763
c.
3778
d.
3773


Solution:

Number of shoes made per day = Number of shoes made by each person × Number of people in the factory

= 49 × 77
[Substitute]

= 49 × (80 - 3)
[Rewrite 77 as (80 - 3).]

= 49 × 80 - 49 × 3
[Use distributive property.]

= 3920 - 147 = 3773
[Multiply and then subtract.]

So, 3773 shoes are made per day.


Correct answer : (4)
 2.  
A box containing corn flakes costs $3. How much would 206 boxes cost?
a.
$628
b.
$623
c.
$608
d.
$618


Solution:

Cost of 206 boxes of corn flakes = Cost of 1 box of corn flakes × Number of boxes = $3 × 206
[Substitute.]

3 × 206 = 3 × (200 + 6)
[Break 206 apart. 206 = 200 + 6.]

= (3 × 200) + (3 × 6)

= 600 + 18
[Multiply.]

= 618
[Add.]

So, 206 boxes of corn flakes cost $618.


Correct answer : (4)
 3.  
There are 29 balls in a basket. How many balls are there in 8 such baskets?
a.
222
b.
232
c.
233
d.
242


Solution:

Total number of balls in 8 baskets = Number of balls in a basket × Number of baskets = 29 × 8
[Substitute.]

29 × 8 = 29 × (10 - 2)
[Break 8 apart. 8 = 10 - 2.]

= (29 × 10) - (29 × 2)

= 290 - 58
[Multiply.]

= 232
[Subtract.]

So, there are 232 balls in 8 baskets.


Correct answer : (2)
 4.  
Tim has traveled a distance of 104 miles in a day. How much distance does he travel in 12 days, if he covers the same distance each day?
a.
1258 miles
b.
1238 miles
c.
1249 miles
d.
1248 miles


Solution:

Distance traveled in 104 days = Distance traveled in a day × Number of days = 104 × 12
[Substitute.]

104 × 12 = (100 + 4) × 12
[Break 104 apart. 104 = 100 + 4.]

= (100 × 12) + (4 × 12)

= 1200 + 48
[Multiply.]

= 1248
[Add.]

So, Tim traveled a distance of 1248 miles in 12 days.


Correct answer : (4)
 5.  
Would you use the distributive property to solve 3 × 109?
a.
Yes
b.
No


Solution:

3 × 109 = 3 × (100 + 9)
[Break 109 apart. 109 = 100 + 9.]

109 is broken apart to benchmark number, 100 to make the multiplication easier.

So, the distributive property would be used to find out the product of 3 × 109.


Correct answer : (1)
 6.  
Find:
106 × 16
a.
1696
b.
2000
c.
1856
d.
11200


Solution:

106 × 16 = (100 + 6) × 16
[Break 106 apart. 106 = 100 + 6.]

= (100 × 16) + (6 × 16)

= 1600 + 96
[Multiply.]

= 1696
[Add.]


Correct answer : (1)
 7.  
What is the product of 98 and 2?
a.
197
b.
196
c.
206
d.
195


Solution:

98 × 2 = (100 - 2) × 2
[Break 98 apart. 98 = 100 - 2.]

= (100 × 2) - (2 × 2)

= 200 - 4
[Multiply.]

= 196
[Subtract.]


Correct answer : (2)
 8.  
Find the product of 7 and 93.
a.
650
b.
652
c.
661
d.
651


Solution:

7 × 93 = 7 × (100 - 7)
[Break 93 apart. 93 = 100 - 7.]

= (7 × 100) - (7 × 7)

= 700 - 49
[Multiply.]

= 651
[Subtract.]


Correct answer : (4)
 9.  
Multiply 12 and 104.
a.
1258
b.
1249
c.
1247
d.
1248


Solution:

12 × 104 = 12 × (100 + 4)
[Break 104 apart. 104 = 100 + 4.]

= (12 × 100) + (12 × 4)

= 1200 + 48
[Multiply.]

= 1248
[Add.]


Correct answer : (4)
 10.  
Find the product of 7 and 185.
a.
1300
b.
1285
c.
1305
d.
1295


Solution:

7 × 185 = 7 × (200 - 15)
[Break 185 apart. 185 = 200 - 15.]

= (7 × 200) - (7 × 15)

= 1400 - 105
[Multiply.]

= 1295
[Subtract.]


Correct answer : (4)

More Distributive Property Worksheets
Factoring Using the Distributive Property Worksheet Distributive Property Word Problems
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