Distributive Property
Use the distributive property to write an equivalent expression then simplify.
1. 5(9 + 8)
2. 8(50 + 8)
3. 7(6 + 7)
4. 8(100 – 4)
5. 6(5 + 8)
6. 4(50 – 1)
Use the distributive property to help you evaluate the expression. Show your work.
7. 8(29) + 8(11)
8. 12(13) + 12(7)
9. 34(7) + 34(3)
10. 6(18) – 6(8)
11. 3(7.3) + 3(0.7)
12. 4( /16) – 4( /16)
Finish this problem:
13. 300 × 29 = 300(30 – 1)=
13
Use the distributive property
14. 500 × 99 = 500(
–
5
On your own now!
)=
15. 800 × 39 =
16. Explain how the distributive property can help you find the cost of 12 stuffed
animals mentally, if each one costs $3.95. Then find the total cost. Show your work!
17. You are carpeting two rooms in your home: one that is 7 feet long and 6 feet wide
and the other that is 8 feet long and 6 feet wide. Use the distributive property to write two
equivalent expressions to represent the total area of the two rooms. Then find the total
area.
18. You want to find the product of 5 × 215, but the “2” button on your calculator is
broken. Explain how you can use the distributive property to help you find the product on
your calculator.