Quiz: Properties of Basic Mathematical Operations

1. Which one of the following sets is NOT closed for addition?
a. the set of odd numbers
b. the set of even numbers
c. the set of natural numbers
2. Which of the following correctly illustrates the commutative property for addition?
a. 5 + (3 + 2) = (5 + 3) + 2
b. 4(5 + 3) = 4(5) + 4(3)
c. 6 + 12 = 12 + 6
3. Which of the following is proof that the associative property is not true for subtraction?
a. 12 – 8 ≠ 8 – 12
b. (12 – 8) – 4 ≠ 12 – (8 – 4)
c. 12 – (8 – 4) ≠ (12 – 8) – (12 – 4)
4. Which of the following illustrates the associative property for multiplication?
a. 7[(8)(9)] = [(7)(8)](9)
b. 12(13) = 13(12)
c. 5(2 + 3) = 5(2) + 5(3)
5. Which of the following is a true statement?
a. 17 – 3 = 3 – 17
b. 23 – (5 – 6) = (23 – 5) – 6
c. 12[(32)(24)] = 12[(24)(32)]
6. Which of the following statements is true?
a. The distributive property involves addition outside the parentheses and multiplication inside the parentheses.
b. The commutative property applies to division.
c. Only addition and multiplication have the associative property.
7. Which of the following equations illustrates the distributive property?
a. ab = ba
b. c( d + e) = cd + ce
c. f + g = g + f
8. Which of the following is a false statement?
a. a – ( b – c) = ( a – b) – c
b. a( b – c) = ab – ac
c. ( a + b) + c = a + ( b + c)
9. Which of the following illustrates the identity number for addition?
a. 5 + (–5) = 0
b. 7 + 0 = 7
c. 3 × 1 = 3
10. What is the only number that is its own additive inverse?
a. –1
b. 0
c. 1
11. What is the only number that is its own multiplicative inverse?
a. –1
b. 0
c. 1
12. What is the multiplicative inverse of 5?
a. –5
b. 1
c. equation
13. Which of the following is a true statement?
a. All numbers have a multiplicative inverse.
b. All numbers have an additive inverse.
c. Both statements are true.

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