# 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.

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

So, 206 boxes of corn flakes cost \$618.

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.

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

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

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.

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

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.]

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.]

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

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.]