Math 105 Basic Arithmetic

Skill 
Sample
Problem 
Notes 
Videos 
Practice 

Preparing for a Math Test 





Taking a Math Test 





WHOLE
NUMBERS 




BA1 
Identifying the Place Value of a Digit 
Give the place value
of the underlined digit: 12,034,567 

BA2 
Identifying the Value of a Digit 
Give the value of
the underlined digit: 301,876,123 

BA3 
Writing Numerals Given Word Names 
Write the numeral corresponding to: eight thousand one hundred sixty seven 

BA4 
Writing Word Names Given Numerals 
Give the word name for 9,045. 

BA5 
Adding Whole Numbers 
Add: 3,056 + 32,005 

BA6 
Subtracting Whole Numbers 
Subtract: 10,874 – 7,968 

BA7 
Multiplying Whole Numbers Multiplying Whole Numbers with Trailing Zeros 
Multiply: 348 x 712 

BA8 
Raising Whole Numbers to Nonzero Whole Numbers 
Evaluate: 


BA9 
Dividing Whole Numbers 
Divide: 



BA10 
Performing Long Division on Whole Numbers 
Divide: _{} 

BA11 
Performing Combined Operations on Whole Numbers 
Evaluate: _{} 

BA12 
Rounding Whole Numbers 
Round 823,477 to the nearest ten thousand. 


BA13 
Estimating 
Estimate by first rounding each addend to the nearest hundred: 1208 + 681 + 10,450 


BA14 
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. 



BA15 
Finding the Prime Factorization of a Whole Number 
Write the prime factorization of 480. 


BA16 
Finding the Greatest Common Factor (GCF) 
Use the method of prime factorization to find the GCF of 20, 28, and 52. 


BA17 
Finding the Least Common Multiple (LCM) 
Use the method of prime factorization to find the LCM of 12, 20, and 36. 


BA18 
Finding the GCF and LCM 
Use the method of prime factorization to find the GCF and LCM of 8, 12, 20, and 32. 




FRACTIONS 




BA19 
Simplifying Fractions 
Simplify: _{} 

BA20 
Multiplying Fractions 
Multiply: _{} 

BA21 
Multiplying a Whole Number and a Fraction 
Multiply: _{} 



BA22 
Multiplying Three or More Fractions 
Multiply: _{} 



BA23 
Dividing Fractions 
Divide: _{} 

BA24 
Adding Fractions with the Same Denominator 
Add: _{} 

BA25 
Subtracting Fractions with the Same Denominator 
Subtract: _{} 



BA26 
Writing Equivalent Fractions 
Write _{}as a fraction with denominator of 60. 

BA27 
Finding the Least Common Denominator 
Find the LCD of _{}. 



BA28 
Adding/Subtracting Fractions with Different Denominators 
Evaluate: _{} 

BA29 
Raising Fractions to Nonzero Whole Numbers 
Evaluate: _{} 


BA30 
Performing Combined Operations on Fractions I 
Evaluate: _{} 


BA31 
Performing Combined Operations on Fractions II 
Evaluate: _{} 


BA32 
Simplifying Complex Fractions 
Evaluate: _{} 


MIXED
NUMBERS 




BA33 
Mixed Numbers and Improper Fractions 
Write _{}as a mixed number. Write _{}as an improper fraction. 


BA34 
Simplifying Mixed Numbers 
Simplify: _{} Simplify: _{} 



BA35 
Multiplying Mixed Numbers 
Multiply: _{} 


BA36 
Dividing Mixed Numbers 
Divide: _{} 


BA37 
Adding Mixed Numbers: Same Denominator 
Add: _{} 



BA38 
Adding Mixed Numbers: Different Denominators 
Add: _{} 


BA39 
Subtracting Mixed Numbers I 
Subtract: _{} 



BA40 
Subtracting Mixed Numbers II 
Subtract: _{} 


BA41 
Subtracting a Mixed Number from a Whole Number 
Subtract: _{} 



BA42 
More on Adding/Subtracting Mixed Numbers 
Evaluate: _{} 



BA43 
Raising Mixed Numbers to Nonzero Whole Numbers 
Evaluate: _{} 


BA44 
Performing Combined Operations on Mixed Numbers 
Evaluate: _{} 


BA45 
Simplifying Complex Fractions Involving Mixed Numbers 
Evaluate: _{} 




DECIMAL
NUMBERS 




BA46 
Naming the Place Value of a Digit 
Give the place value of the underlined digit: 612.06783 



BA47 
Identifying the Value of a Digit 
Give the value of the underlined digit: 12,354.103591 



BA48 
Writing Word Names Given the Decimal Numbers 
Write the word name for 72.00452 



BA49 
Writing Decimal Numbers Given the Word Names 
Write the decimal number for: Thirty four and two hundred twelve hundred millionths 



BA50 
More on Word Names and Decimal Numbers 




BA51 
Comparing Decimal Numbers 
Arrange from smallest to largest: 30.304, 303.04, 0.30304, 0.0030404 



BA52 
Rounding Decimal Numbers 
Round 321.078456 to the nearest ten thousandth 


BA53 
Adding/Subtracting Decimal Numbers 
Evaluate: _{} 


BA54 
Multiplying Decimal Numbers 
Multiply: _{} 


BA55 
Dividing Decimal Numbers 
Divide: _{} 


BA56 
Raising Decimal Numbers to Nonzero Whole Numbers 
Evaluate: _{} 



BA57 
Performing Combined Operations on Decimal Numbers 
Evaluate: _{} 




FRACTIONS
AND DECIMALS 




BA58 
Writing a Terminating Decimal as a Fraction 
Write 2.75 as a fraction in lowest terms. 


BA59 
Writing a Fraction as a Decimal 
Write _{}as a decimal. 



RATIOS,
RATES, PROPORTIONS 




BA60 
Writing Ratios as Fractions in Lowest Terms 
Write the ratio 56 to 72 as a fraction in lowest terms. 



BA61 
Finding Rates/Unit Rates 
Find the unit rate in miles per gallon: 320 miles for 15 gallons 



BA62 
Understanding What Proportions Are 
Determine if the given proportion is true or false: _{} 



BA63 
Solving Proportions 
Solve: _{} 


BA64 
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. 



PERCENTS,
FRACTIONS, DECIMALS 




BA65 
Understanding Percent 




BA66 
Writing a Fraction as a Percent 
Write _{}as a percent. 


BA67 
Writing a Percent as a Fraction 
Write 30% as a fraction in lowest terms. 


BA68 
Writing a Decimal as a Percent 
Write 0.204 as a percent. 


BA69 
Writing a Percent as a Decimal 
Write 52% as a decimal. 



BA70 
Converting PercentFractionDecimal 




PERCENT
APPLICATIONS 




BA71 
Solving Simple Percent Problems 
32 is 20% of what number? 


BA72 
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. 



GEOMETRY APPLICATIONS 




BA73 
Finding the Perimeter of a Square/Rectangle 
Find the perimeter of a rectangle whose length is _{}inches and whose width is 11 inches. 



BA74 
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. 



BA75 
Finding the Circumference of a Circle 
Find the circumference of a circle with radius 6 units. Use _{}. 



BA76 
Finding the Area of a Circle 
Find the area of a circle with diameter 2 ft. Use _{}. 



BA77 
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. 




OTHER
TOPICS 




BA78 
Using Correct Vocabulary 
In the expression _{}, 4 is called the _____ and 7 is called the ______. 



BA79 
Translating and Evaluating Verbal Expressions 
Translate and then evaluate: The square of 6 added to the product of 3 and 5. 

