Which of the following equations illustrates the distributive property?
- ab = ba
- c( d + e) = cd + ce
- f + g = g + f
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Which of the following is proof that the associative property is not true for subtraction?
- 12 – 8 ≠ 8 – 12
- (12 – 8) – 4 ≠ 12 – (8 – 4)
- 12 – (8 – 4) ≠ (12 – 8) – (12 – 4)
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Which of the following statements is true?
- The distributive property involves addition outside the parentheses and multiplication inside the parentheses.
- The commutative property applies to division.
- Only addition and multiplication have the associative property.
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Which of the following is a false statement?
- a – ( b – c) = ( a – b) – c
- a( b – c ) = ab – ac
- ( a + b) + c = a + ( b + c)
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Which of the following illustrates the identity number for addition?
- 5 + (–5) = 0
- 7 + 0 = 7
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What is the only number that is its own additive inverse?
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What is the only number that is its own multiplicative inverse?
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- 0
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What is the multiplicative inverse of 5?
- –5
- 1
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Which one of the following sets is closed for addition?
- the set of prime numbers
- the set of positive odd integers
- the set of positive even integers
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Which of the following illustrates the associative property for multiplication?
- 7[(8)(9)] = [(7)(8)](9)
- 12(13) = 13(12)
- 5(2 + 3) = 5(2) + 5(3)
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Which of the following is a true statement?
- 17 – 3 = 3 – 17
- 23 – (5 – 6) = (23 – 5) – 6
- 12[(32)(24)] = 12[(24)(32)]
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If a # b = b # a for all possible values of a and b, then we would say that # has what property?
- commutative property
- associative property
- closure property
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- – x
- cannot be determined
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Which of the following is a true statement?
- All numbers have a multiplicative inverse.
- All numbers have an additive inverse.
- Both statements are true.
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