2. Which addition property is illustrated by
the following statement?
40 + 60 = 60 + 40
Number properties
Question # 18
A. Inverse
Identify properties of the real number
system: commutative, associative,
distributive, identity, inverse, and
closure.
return to practice
test
Test index
Last
slide
B. Identity
C. Distributive
worksheets
a • 1/a = 1
*Identity b + 0 = b or
b•1=b
D. Commutative
worksheets
Last
slide
Number properties
*Inverse a + (-a) = 0 or
Test index
3. Which property is illustrated by the
following statement?
4(3 + 2) = 4(3) + 4(2)
Distributive a(b + c) = (a • b) + (a • c)
*Commutative d + e = e + d or
d•e=e•d
*Associative (f + g) + h = f + (g + h) or
A. Inverse
(f • g) • h = f • (g • h
Reflective j = j or 64 = 64
B. Identity
Closure 3 + 4 = 7 (7 and only 7, which is real) and
C. Distributive
3 • 4 = 12 (12 and only 12, which is real)
* Note the properties with a “*”, can be either “of addition” or “of
multiplication” (i.e. inverse property of addition or inverse property of
multiplication.
return to practice
Test index
Last
slide
test
D. Commutative
worksheets
Test index
worksheets
Last
slide
4. Which addition property is illustrated
by the following statement?
1. Which addition property is illustrated
by the following statement?
4 + (-4) = 0
0+3=3
A. Inverse
Test index
A. Inverse
B. Identity
B. Identity
C. Distributive
C. Distributive
D. Commutative
D. Commutative
Last
slide
worksheets
Test index
worksheets
Last
slide
1
8. Which addition property is illustrated
by the following statement?
5. Which addition property is illustrated
by the following statement?
10 + (8 + 5) = (10 + 8) + 5
0+5=5
A. associative
A. associative
B. Identity
B. Identity
C. reflective
C. reflective
D. closure
D. closure
Test index
worksheets
Test index
Last
slide
9. Which multiplication property is
illustrated by the following statement?
6. Which property is illustrated by the
following statement?
1•b=b
63 = 63
A. Inverse
A. associative
B. Identity
B. Identity
C. Distributive
C. reflective
D. Commutative
D. closure
Test index
worksheets
Last
slide
worksheets
Test index
Last
slide
worksheets
Last
slide
7. Which property is illustrated by the
following statement?
10. Which multiplication property is
illustrated by the following statement?
c•d=d•c
3 + 4 = 7 (7 and only 7, which is real)
And
3 • 4 = 12 (12 and only 12, which is real)
Test index
A. Inverse
A. associative
B. Identity
B. Identity
C. Distributive
C. reflective
D. Commutative
D. closure
Last
slide
worksheets
Test index
worksheets
Last
slide
2
11. Which property is illustrated by the
following statement?
14. Which property is illustrated by the
following statement?
c(b + a) = cb + ca
-b = -b
A. Inverse
A. associative
B. Identity
B. Identity
C. Distributive
C. reflective
D. Commutative
D. closure
Test index
worksheets
Test index
Last
slide
worksheets
Last
slide
12. Which multiplication property is
illustrated by the following statement?
15. Which property is illustrated by the
following statement?
4 • 1/4 = 1
5 + 4 = 9 (9 and only 9, which is real)
And
5 • 4 = 20 (20 and only 20, which is real)
A. Inverse
B. Identity
A. associative
C. Distributive
B. Identity
D. Commutative
C. reflective
Test index
worksheets
Test index
Last
slide
D. closure
13. Which multiplication property is
illustrated by the following statement?
16. Which multiplication property is
illustrated by the following statement?
1•a=a
a • (b • c) = (a • b) • c
A. associative
A. associative
B. Identity
B. Identity
C. reflective
C. reflective
D. closure
D. closure
Test index
worksheets
Last
slide
worksheets
Last
slide
Test index
worksheets
Last
slide
3
17. Which addition property is illustrated
by the following statement?
20. Which addition property is illustrated
by the following statement?
a + 60 = 60 + a
0 + (-5) = -5
A. Inverse
A. Inverse
B. Identity
B. Identity
C. Distributive
C. Distributive
D. Commutative
D. Commutative
Test index
worksheets
Test index
worksheets
Last
slide
Last
slide
18. Which property is illustrated by the
following statement?
Answers Question # 18
Number properties
a(3 + 2) = a(3) + a(2)
1. B
5. B
9. B
13. B
17. D
A. Inverse
B. Identity
C. Distributive
2. D
6. C
10. D
14. C
18. C
3. C
7. D
11. C
15. D
19. A
4. A
8. A
12. A
16. A
20. B
D. Commutative
Test index
worksheets
Last
slide
Test index
worksheets
Last
slide
19. Which addition property is illustrated
by the following statement?
b + (-b) = 0
A. Inverse
B. Identity
C. Distributive
D. Commutative
Test index
worksheets
Last
slide
4