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Math 7
Properties of Numbers
Name ∙ 1__________________________
Write the name of the property being used on the line.
__________1. 2 + 10 + 3 = 10 + 3 + 2
__________5. (5)x = x(5)
__________2. 8 + 0 = 8
__________6. (x • 4)2 = x(4 • 2)
__________3. 4 + (3 + 2) = (4 + 3) + 2
__________7. (8)(x)(y) = (x)(8)(y)
__________4. 15 • 0 = 0
__________8. 21 • 1 = 21
Fill in the box with the missing number. Write the name of the property being used on the line.
__________9. 9 +
_________10. t +
=6+9
=t
_________11. 13 • (13 • 8) = (13 •
)•8
_________12. 15 • 0 =
Use the properties and mental math to solve each problem. Show what numbers you are
combining.
_________13. 6 + 30 + 4
_________16. 11 + 16 + 19 + 84
_________14. (5)(18)(2)
_________17. 8 + 16 + 2
_________15. 125 + 38 + 75
_________18. 4(38)(25)
19. Do you think there is a Commutative Property of Subtraction? Give an example to justify
your answer.
20. Anthony collects sports cards. He has 19 packs of football cards, 23 packs of baseball
cards, and 7 packs of basketball cards. Use the properties and mental math to answer each
question.
a. How many packs of cards are in Anthony’s collection?
b. If each pack contains 6 cards, what is the total number of cards in Anthony’s
collection?
21. Jackie mowed 15 lawns in June, 23 lawns in July, and 15 lawns in August. Use the
properties and mental math to answer each question.
a. How many lawns did Jackie mow over the summer?
b. Jackie put $4 in her savings account for each lawn she mowed. How much money did
Jackie save over the summer by mowing lawns?