Download Properties (Part 2)

Assignment # _____ Properties of Numbers (Part 2)
Name _________________________
Standard: AF 1.3 Use properties of rational numbers
Pre-Algebra, Period ________
Date __________________________
A.
B.
C.
D.
E.
F.
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Additive Identity (Identity Prop. of Addition)
Multiplicative Identity (Identity Prop. of multiplication)
G. Inverse Property of Addition (Additive Inverse)
H. Inverse Property of Multiplication (Multiplicative Inverse)

2+3=3+2
45=54
(1 + 3) + 5 = 1 + (3 + 5)
(3  4)  5 = 3  (4  5)
7+0=7
71=7
1 3  3
 
4 3  12
8 + (–8) = 0
1
5  1
5
Using the letters above (the ones in bold), identify each property shown.
1. 19 + 11 = 11 + 19 _______
4.

1
 7  1 _______
7

2. 8 + 0 = 8 ______
3.
2 6  12
______
 
3 6  18

5. (3 + 4) + x = 3 + (4 + x) _______
6. 6  1 = 6 _______
7. –20 + 20 = 0 _______
9. (9 + 0) + 4 = 9 + 4 _______

10. (3  4)25 = 3(4  25) ______
1
11. –  9  1 _______
9
12. (2 x 3)(4 x 5) = (4 x 5)(2 x 3) _______
13. 30 + (–30) = 0 ______
14. (3 + 5)(6 + 8) = (6 + 8)(3 + 5) ______
8. 3 
1
 1_____
3

More on the back…
15. Which operation will change the value of any nonzero number?
A adding zero
B dividing by one
15. __________
C multiplying by one
D multiplying by zero
16. Which property is used in the following equation? (3  4)  5 = 3  (4  5)
16. __________
A associative property of addition
B commutative property of addition
C distributive property
D associative property of multiplication
17. Which property is used in the following equation? 3 + 5 + 7 = 3 + 7 + 5
17. __________
A associative property of addition
B commutative property of addition
C distributive property
D commutative property of multiplication
18. Which statement demonstrates the commutative property of addition?
A (x + y) + z = x + (y + z)
B x+y–z=x+z–y
C xyz = xzy
D x+y+z=y+x+z
18. __________
19. Which of the following equations illustrates the inverse property of multiplication?
A 8

1
1
8
B 8 1  8

Simplify each expression.

10

23. 3–9  34 =
D 8  8  64

23  4 5 • 68
21. 5

2  4 5 • 66
20. 7  7 =
5
C 800
24. (xy)–2(xy)7 =
19. __________
22.

25.
410

43
4 3
  
5 
26. Mandy bought a sweater that was on sale for 60% off of $70.00. Including sales tax (8%), how

much did she spend on the sweater?