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Decimals: Proficiency Exam

Module by: Wade Ellis, Denny Burzynski. E-mail the authorsEdited By: Math Editors

Summary: This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Decimals." 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

Exercise 1

((Reference)) The decimal digit that appears three places to the right of the decimal point is in the
position.

Solution

thousandth

Exercise 2

((Reference)) Write, using words, 15.036.

Solution

fifteen and thirty-six thousandths

Exercise 3

((Reference)) Write eighty-one and twelve hundredths using digits. 81.12

Solution

81.12

Exercise 4

((Reference)) Write three thousand seventeen millionths using digits.

Solution

0.003017

Exercise 5

((Reference)) Convert 0.78 to a fraction. Reduce.

Solution

39503950 size 12{ { {"39"} over {"50"} } } {}

Exercise 6

((Reference)) Convert 0.875 to a fraction. Reduce.

Solution

7878 size 12{ { {7} over {8} } } {}

Exercise 7

((Reference)) Round 4.8063 to the nearest tenth.

Solution

4.8

Exercise 8

((Reference)) Round 187.51 to the nearest hundred.

Solution

200

Exercise 9

((Reference)) Round 0.0652 to the nearest hundredth.

Solution

0.07

For problems 10-20, perform each operation.

Exercise 10

((Reference)) 15.026 + 5.97115.026 + 5.971 size 12{"15" "." "026 "+" 5" "." "971"} {}

Solution

20.997

Exercise 11

((Reference)) 72.15−26.58572.15−26.585 size 12{"72" "." "15" - "26" "." "585"} {}

Solution

45.565

Exercise 12

((Reference)) 16.2⋅4.816.2⋅4.8 size 12{"16" "." 2 cdot 4 "." 8} {}

Solution

77.76

Exercise 13

((Reference)) 10,000⋅0.01610,000⋅0.016 size 12{"10","000" cdot 0 "." "016"} {}

Solution

16

Exercise 14

((Reference)) 44.64÷18.644.64÷18.6 size 12{"44" "." "64" div "18" "." 6} {}

Solution

2.4

Exercise 15

((Reference)) 0.21387÷0.190.21387÷0.19 size 12{0 "." "21387" div 0 "." "19"} {}

Solution

1.1256

Exercise 16

((Reference)) 0.27¯−3110.27¯−311 size 12{0 "." {overline {"27"}} - { {3} over {"11"} } } {}

Solution

0

Exercise 17

((Reference)) Convert 62116211 size 12{6 { {2} over {"11"} } } {} to a decimal.

Solution

6.18¯6.18¯ size 12{6 "." {overline {"18"}} } {}

Exercise 18

((Reference)) Convert 0.5916 0.5916  size 12{0 "." 5 { {9} over {"16"} } } {} to a decimal.

Solution

0.055625

Exercise 19

((Reference)) 318+2.325318+2.325 size 12{3 { {1} over {8} } +2 "." "325"} {}

Solution

5.45

Exercise 20

((Reference)) 38×0.562538×0.5625 size 12{ { {3} over {8} } times 0 "." "5625"} {}

Solution

2712827128 size 12{ { {"27"} over {"128"} } } {} or 0.2109375

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

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What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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