Distribute Property

Fill in the blank

100

3 × (4 + 5) = (3 × 4) + (3 × ___ )

5

200

6 × (10 + 2) = (6 × ___ ) + (6 × 2)

10

300

5 × (20 + 7) = ( ___ × 20) + (5 × 7)

5

400

(8 × 9) + (8 × 1) = 8 × ( ___ + 1)

9

500

9 × (100 - 2) = (9 × 100) - (9 × ___ )

2

Break it Down

100

4 × 13

4 × (10 + 3)  

200

7 × 25

7 × (20 + 5)

300

6 × 48

6 × (50 - 2)

400

5 × 124

5 × (100 + 20 + 4)

500

(3 × 400) + (3 × 60) + (3 × 2) - COMBINE!

3 × 462

Equivalent Expressions

100

Which expression is equal to 2 × (6 + 4) 

A) 2 + 6 + 4

B) (2 × 6) + (2 × 4)

C) 2 × 6 × 4

B) (2 × 6) + (2 × 4)

200

Is (5 × 8) + (5 × 2) equal to 5 × 10? (Yes or No)

Yes (Both equal 50)

300

Which expression equals 8 × 15? 

A) (8 × 10) + 5

B) (8 × 10) + (8 × 5)

C) (8 + 10) × (8 + 5)

B) (8 × 10) + (8 × 5)

400

True or False: 4 × (10 - 3) is equal to (4 × 10) - 3.

False 

(It must be distributed to both numbers: (4 × 10) - (4 × 3))

500

Which of the following expressions has the exact same value as 12 × 9?

A) (12 × 10) - 12

B) (10 × 9) + (2 × 9)

C) Both A and B

C (Both equal 108)

Mental Math Magic

100

Solve 5 × 12 mentally using (5 × 10) + (5 × 2). What is the final answer?

60

200

Solve 4 × 21 mentally using the distributive property.

84 (4 × 20 = 80, 4 × 1 = 4, 80 + 4 = 84)

300

Solve 3 × 49 mentally by thinking of 49 as (50 - 1).

Answer: 147 (3 × 50 = 150, 150 - 3 = 147)

400

Solve 6 × 32 mentally using distributive property.

192 (6 × 30 = 180, 6 × 2 = 12, 180 + 12 = 192)

500

Solve 8 × 99 mentally using subtraction with the distributive property.

792 (8 × 100 = 800, 8 × 1 = 8, 800 - 8 = 792)

Word Problems

100

Maya bought 4 boxes of markers. Each box has 10 blue markers and 2 red markers. Write a distributive expression to find the total number of markers.

4 × (10 + 2) OR (4 × 10) + (4 × 2) (Total: 48 markers)

200

A teacher orders supplies for 25 students. Each student gets 2 pencils and 3 erasers. Write a distributive expression for total supplies ordered.

25 × (2 + 3) OR (25 × 2) + (25 × 3) (Total: 125 supplies)

300

Leo earns $8 per hour. He worked 6 hours on Saturday and 4 hours on Sunday. Show two different distributive expressions to find his total earnings.

8 × (6 + 4) AND (8 × 6) + (8 × 4) (Total: $80)

400

A garden has 5 rows with 12 red flowers each, and 5 rows with 8 yellow flowers each. Use the distributive property to find the total number of flowers easily.

5 × (12 + 8) = 5 × 20 = 100 total flowers

500

Ms. Rivera bought 7 gift bags. Each bag contains 10 stickers, 5 candies, and 2 pencils. Write a distributive expression to find the total items and solve it.

7 × (10 + 5 + 2) = (7 × 10) + (7 × 5) + (7 × 2) = 70 + 35 + 14 = 119