Math 105 Basic Arithmetic

 

Skill

Sample Problem

Notes

Videos

Practice

 

Preparing for a Math Test

 

 

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Taking a Math Test

 

 

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WHOLE NUMBERS

 

 

 

 

BA-1

Identifying the Place Value of a Digit

Give the place value of the underlined digit: 12,034,567

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BA-2

Identifying the Value of a Digit

Give the value of the underlined digit: 301,876,123

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BA-3

Writing Numerals Given Word Names

Write the numeral corresponding to:

eight thousand one hundred sixty seven

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BA-4

Writing Word Names Given Numerals

Give the word name for 9,045.

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BA-5

Adding Whole Numbers

Add: 3,056 + 32,005

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BA-6

Subtracting Whole Numbers

Subtract: 10,874 7,968

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BA-7

Multiplying Whole Numbers

 

Multiplying Whole Numbers with Trailing Zeros

Multiply: 348 x 712

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-8

Raising Whole Numbers to Nonzero Whole Numbers

Evaluate:

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BA-9

Dividing Whole Numbers

Divide:

 

 

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BA-10

Performing Long Division on Whole Numbers

Divide:

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BA-11

Performing Combined Operations on Whole Numbers

Evaluate:

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-12

Rounding Whole Numbers

Round 823,477 to the nearest ten thousand.

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BA-13

Estimating

Estimate by first rounding each addend to the nearest hundred:

1208 + 681 + 10,450

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BA-14

Determining the Divisibility of a Whole Number

Determine if 201,120 is divisible by 2, by 3, and by 5. Explain why or why not.

 

 

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BA-15

Finding the Prime Factorization of a Whole Number

Write the prime factorization of 480.

 

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BA-16

Finding the Greatest Common Factor (GCF)

Use the method of prime factorization to find the GCF of 20, 28, and 52.

 

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BA-17

Finding the Least Common Multiple (LCM)

Use the method of prime factorization to find the LCM of 12, 20, and 36.

 

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BA-18

Finding the GCF and LCM

Use the method of prime factorization to find the GCF and LCM of 8, 12, 20, and 32.

 

 

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FRACTIONS

 

 

 

 

BA-19

Simplifying Fractions

Simplify:

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BA-20

Multiplying Fractions

Multiply:

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BA-21

Multiplying a Whole Number and a Fraction

Multiply:

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BA-22

Multiplying Three or More Fractions

Multiply:

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BA-23

Dividing Fractions

Divide:

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BA-24

Adding Fractions with the Same Denominator

Add:

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BA-25

Subtracting Fractions with the Same Denominator

Subtract:

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BA-26

Writing Equivalent Fractions

Write as a fraction with denominator of 60.

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BA-27

Finding the Least Common Denominator

Find the LCD of .

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BA-28

Adding/Subtracting Fractions with Different Denominators

Evaluate:

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BA-29

Raising Fractions to Nonzero Whole Numbers

Evaluate:

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BA-30

Performing Combined Operations on Fractions I

Evaluate:

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BA-31

Performing Combined Operations on Fractions II

Evaluate:

 

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-32

Simplifying Complex Fractions

Evaluate:

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

MIXED NUMBERS

 

 

 

 

BA-33

Mixed Numbers and Improper Fractions

Write as a mixed number.

Write as an improper fraction.

 

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BA-34

Simplifying Mixed Numbers

Simplify:

Simplify:

 

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BA-35

Multiplying Mixed Numbers

Multiply:

 

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-36

Dividing Mixed Numbers

Divide:

 

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-37

Adding Mixed Numbers: Same Denominator

Add:

 

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BA-38

Adding Mixed Numbers: Different Denominators

Add:

 

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BA-39

Subtracting Mixed Numbers I

Subtract:

 

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BA-40

Subtracting Mixed Numbers II

Subtract:

 

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-41

Subtracting a Mixed Number from a Whole Number

Subtract:

 

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BA-42

More on Adding/Subtracting Mixed Numbers

Evaluate:

 

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BA-43

Raising Mixed Numbers to Nonzero Whole Numbers

Evaluate:

 

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BA-44

Performing Combined Operations on Mixed Numbers

Evaluate:

 

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-45

Simplifying Complex Fractions Involving Mixed Numbers

Evaluate:

 

 

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DECIMAL NUMBERS

 

 

 

 

BA-46

Naming the Place Value of a Digit

Give the place value of the underlined digit:

612.06783

 

 

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BA-47

Identifying the Value of a Digit

Give the value of the underlined digit:

12,354.103591

 

 

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BA-48

Writing Word Names Given the Decimal Numbers

Write the word name for

72.00452

 

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BA-49

Writing Decimal Numbers Given the Word Names

Write the decimal number for:

Thirty four and two hundred twelve hundred millionths

 

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BA-50

More on Word Names and Decimal Numbers

 

 

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BA-51

Comparing Decimal Numbers

Arrange from smallest to largest:

30.304, 303.04, 0.30304, 0.0030404

 

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BA-52

Rounding Decimal Numbers

Round 321.078456 to the nearest ten thousandth

 

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-53

Adding/Subtracting Decimal Numbers

Evaluate:

 

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Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-54

Multiplying Decimal Numbers

Multiply:

 

Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

BA-55

Dividing Decimal Numbers

Divide:

 

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BA-56

Raising Decimal Numbers to Nonzero Whole Numbers

Evaluate:

 

 

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BA-57

Performing Combined Operations on Decimal Numbers

Evaluate:

 

 

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FRACTIONS AND DECIMALS

 

 

 

 

BA-58

Writing a Terminating Decimal as a Fraction

Write 2.75 as a fraction in lowest terms.

 

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BA-59

Writing a Fraction as a Decimal

Write as a decimal.

 

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RATIOS, RATES, PROPORTIONS

 

 

 

 

BA-60

Writing Ratios as Fractions in Lowest Terms

Write the ratio 56 to 72 as a fraction in lowest terms.

 

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BA-61

Finding Rates/Unit Rates

Find the unit rate in miles per gallon:

320 miles for 15 gallons

 

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BA-62

Understanding What Proportions Are

Determine if the given proportion is true or false:

 

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BA-63

Solving Proportions

Solve:

 

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BA-64

Solving Word Problems Involving Proportions

A camera that originally sold for $150 now sells for $100. Find the percent decrease in the price of the camera.

 

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PERCENTS, FRACTIONS, DECIMALS

 

 

 

 

BA-65

Understanding Percent

 

 

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BA-66

Writing a Fraction as a Percent

Write as a percent.

 

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BA-67

Writing a Percent as a Fraction

Write 30% as a fraction in lowest terms.

 

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BA-68

Writing a Decimal as a Percent

Write 0.204 as a percent.

 

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BA-69

Writing a Percent as a Decimal

Write 52% as a decimal.

 

 

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BA-70

Converting Percent-Fraction-Decimal

 

 

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PERCENT APPLICATIONS

 

 

 

 

BA-71

Solving Simple Percent Problems

32 is 20% of what number?

 

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BA-72

Solving Word Problems Involving Percent

A camera that originally sold for $150 now sells for $100. Find the percent decrease in the price of the camera.

 

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GEOMETRY APPLICATIONS

 

 

 

 

BA-73

Finding the Perimeter of a Square/Rectangle

Find the perimeter of a rectangle whose length is inches and whose width is 11 inches.

 

 

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BA-74

Finding the Area of a Square/Rectangle

The width of a rectangle is 4.3 cm and the length is twice the width. Find the area of the rectangle.

 

 

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BA-75

Finding the Circumference of a Circle

Find the circumference of a circle with radius 6 units. Use .

 

 

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BA-76

Finding the Area of a Circle

Find the area of a circle with diameter 2 ft. Use .

 

 

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BA-77

Finding the Volume of a Rectangular Prism

Find the volume of a rectangular box with height 3 units and a square base with a side of 5 units.

 

 

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OTHER TOPICS

 

 

 

 

BA-78

Using Correct Vocabulary

In the expression , 4 is called the _____ and 7 is called the ______.

 

 

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BA-79

Translating and Evaluating Verbal Expressions

Translate and then evaluate:

The square of 6 added to the product of 3 and 5.

 

 

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