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 |

= 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 |

[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 |

[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 |

[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 |

[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 |

[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 |

[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 |

[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 |

[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 |

[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 |