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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 Addition and Subtraction 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

Exercise 1

((Reference)) What is the largest digit?

Solution

9

Exercise 2

((Reference)) In the Hindu-Arabic number system, each period has three values as­signed to it. These values are the same for each period. From right to left, what are they?

Solution

ones, tens, hundreds

Exercise 3

((Reference)) In the number 42,826, how many hundreds are there?

Solution

8

Exercise 4

((Reference)) Is there a largest whole number? If so, what is it?

Solution

no

Exercise 5

((Reference)) Graph the following whole numbers on the number line: 2, 3, 5.
 A number line from 0 to 8.

Solution

A number line from 0 to 8 with a dot on the marks for 2, 3, and 5.

Exercise 6

((Reference)) Write the number 63,425 as you would read it aloud.

Solution

Sixty-three thousand, four hundred twenty-five

Exercise 7

((Reference)) Write the number eighteen million, three hundred fifty-nine thousand, seventy-two.

Solution

18,359,072

Exercise 8

((Reference)) Round 427 to the nearest hundred.

Solution

400

Exercise 9

((Reference)) Round 18,995 to the nearest ten.

Solution

19,000

Exercise 10

((Reference)) Round to the most reasonable digit: During a semester, a mathematics instructor uses 487 pieces of chalk.

Solution

500

For problems 11-17, find the sums and differences.

Exercise 11

((Reference)) 627 +   48 ̲ 627 +   48 ̲

Solution

675

Exercise 12

((Reference)) 3106+9213106+921 size 12{"3106"+"921"} {}

Solution

4,027

Exercise 13

((Reference)) 152 +   36 ̲ 152 +   36 ̲

Solution

188

Exercise 14

((Reference)) 5,189 6,189 4,122 + 8,001 ̲ 5,189 6,189 4,122 + 8,001 ̲

Solution

23,501

Exercise 15

((Reference)) 21+16+42+1121+16+42+11 size 12{"21"+"16"+"42"+"11"} {}

Solution

90

Exercise 16

((Reference)) 520−216520−216 size 12{"520" - "216"} {}

Solution

304

Exercise 17

((Reference)) 80,001 -   9,878 ̲ 80,001 -   9,878 ̲

Solution

70,123

Exercise 18

((Reference)) Subtract 425 from 816.

Solution

391

Exercise 19

((Reference)) Subtract 712 from the sum of 507 and 387.

Solution

182

Exercise 20

((Reference)) Is the sum of 219 and 412 the same as the sum of 412 and 219? If so, what makes it so?

Solution

Yes, commutative property of addition

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