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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Multiplication and Division of Whole Numbers." Each problem is accompanied with a reference link pointing back to the module that discusses the type of problem demonstrated in the question. The problems in this exam are accompanied by solutions.

Proficiency exam

( [link] ) In the multiplication of 8 × 7 = 56 size 12{8 times 7="56"} {} , what are the names given to the 8 and 7 and the 56?

8 and 7 are factors; 56 is the product

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( [link] ) Multiplication is a description of what repeated process?

Addition

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( [link] ) In the division 12 ÷ 3 = 4 size 12{"12" div 3=4} {} , what are the names given to the 3 and the 4?

3 is the divisor; 4 is the quotient

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( [link] ) Name the digits that a number must end in to be divisible by 2.

0, 2, 4, 6, or 8

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( [link] ) Name the property of multiplication that states that the order of the factors in a multiplication can be changed without changing the product.

commutative

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( [link] ) Which number is called the multiplicative identity?

1

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For problems 7-17, find the product or quotient.

( [link] ) 14 × 6 size 12{"14" times 6} {}

84

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( [link] ) 37 × 0 size 12{"37" times 0} {}

0

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( [link] ) 352 × 1000 size 12{"352" times "1000"} {}

352,000

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( [link] ) 5986 × 70 size 12{"5986" times "70"} {}

419,020

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( [link] ) 12 × 12 size 12{"12" times "12"} {}

252

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( [link] ) 856 ÷ 0 size 12{"856" div 0} {}

not defined

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( [link] ) 0 ÷ 8 size 12{0 div 8} {}

0

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( [link] ) 136 ÷ 8 size 12{"136" div 8} {}

17

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( [link] ) 432 ÷ 24 size 12{"432" div "24"} {}

18

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( [link] ) 5286 ÷ 37 size 12{"5286" div "37"} {}

142 remainder 32

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( [link] ) 211 × 1 size 12{"211" times 1} {}

211

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For problems 18-20, use the numbers 216, 1,005, and 640.

( [link] ) Which numbers are divisible by 3?

216; 1,005

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( [link] ) Which number is divisible by 4?

216; 640

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( [link] ) Which number(s) is divisible by 5?

1,005; 640

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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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