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Math 105 Basic Arithmetic Student Resources

 

 

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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
BA-2  Identifying the Value of a Digit Give the value of the underlined digit: 301,876,123       
BA-3  Writing Numerals Given Word Names Write the numeral corresponding to:

eight thousand one hundred sixty seven

 
  
BA-4  Writing Word Names Given Numerals Give the word name for 9,045. 
BA-5  Adding Whole Numbers Add: 3,056 + 32,005 
BA-6  Subtracting Whole Numbers Subtract: 10,874 – 7,968    
BA-7

 Multiplying Whole Numbers

 Multiplying Whole Numbers with Trailing Zeros

Multiply: 348 x 712 

BA-8  Raising Whole Numbers to Nonzero Whole Numbers Evaluate:  53   
BA-9  Dividing Whole Numbers Divide:56 ÷ 7    
BA-10  Performing Long Division on Whole Numbers Divide: 63,107 ÷ 28

BA-11  Performing Combined Operations on Whole Numbers Evaluate:
23 · 4 – 28 ÷ 7 · 3
(7–3)2– 3 · 2

BA-12  Rounding Whole Numbers Round 823,477 to the nearest ten thousand.    
BA-13  Estimating Estimate by first rounding each addend to the nearest hundred:

1208 + 681 + 10,450

 
  
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.     
BA-15  Finding the Prime Factorization of a Whole Number Write the prime factorization of 480.   

BA-16  Finding the Greatest Common Factor (GCF) Use the method of prime factorization to find the GCF of 20, 28, and 52.   

BA-17  Finding the Least Common Multiple (LCM) Use the method of prime factorization to find the LCM of 12, 20, and 36.   
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.     
 

FRACTIONS

       
BA-19  Simplifying Fractions

Simplify:

  72 
120

 

BA-20  Multiplying Fractions

Multiply:

18 . 20
 7   54

BA-21  Multiplying a Whole Number and a Fraction Multiply:
12 · 3/4
     
BA-22  Multiplying Three or More Fractions Multiply:
5/3 · 2/7 · 14 · 9/10
    
BA-23  Dividing Fractions

Divide:

24/60 ÷ 40/15
BA-24  Adding Fractions with the Same Denominator

Add:

7/5 + 3/25 + 9/25
BA-25  Subtracting Fractions with the Same Denominator

Subtract:

42/17 - 8/17

     
BA-26  Writing Equivalent Fractions Write 3/5 as a fraction with denominator of 60. 
BA-27  Finding the Least Common Denominator Find the LCD of 3/8 , 1/4 , and 5/12.     
BA-28  Adding/Subtracting Fractions with Different Denominators

Evaluate:

4/5 + 3/10 - 2/15

BA-29  Raising Fractions to Nonzero Whole Numbers

Evaluate:

(3/4)2

  
BA-30  Performing Combined Operations on Fractions I

Evaluate:

1/3 · 1/4 + 3/2 ÷ 1/8

 
BA-31  Performing Combined Operations on Fractions II

Evaluate:

(2/3 - 1/2) ÷ (5/6 + 1/4)

 

BA-32  Simplifying Complex Fractions

Evaluate:

1/2 - (1/2)2 / (1 - 1/2)2

 

MIXED NUMBERS

       
BA-33  Mixed Numbers and Improper Fractions

Write 13/4 as a mixed number.

Write 2 4/5 as an improper fraction.

 

BA-34  Simplifying Mixed Numbers

Simplify: 12 8/20

Simplify: 5 10/7

   
 
BA-35  Multiplying Mixed Numbers Multiply: 2 2/3 · 2 1/4  
BA-36  Dividing Mixed Numbers Divide: 3 1/8 ÷ 3 3/4  
BA-37  Adding Mixed Numbers: Same Denominator Add: 4 5/7 + 2 3/7     
BA-38  Adding Mixed Numbers: Different Denominators Add: 3 1/2 + 4 1/3 + 1 5/6  

BA-39  Subtracting Mixed Numbers I Subtract: 16 3/4 - 9 1/4
 
    
BA-40  Subtracting Mixed Numbers II Subtract: 7 3/8 - 2 3/4  
BA-41  Subtracting a Mixed Number from a Whole Number Subtract: 11 - 3 2/5      
BA-42  More on Adding/Subtracting Mixed Numbers

 Evaluate:

3 1/3 + 2 1/2 + 4 1/4

       
BA-43  Raising Mixed Numbers to Nonzero Whole Numbers

 Evaluate:

(1 1/2)3

 
BA-44  Performing Combined Operations on Mixed Numbers

Evaluate:

4 1/4 ÷ (4 1/2 + 2 1/4)


 
BA-45  Simplifying Complex Fractions Involving Mixed Numbers

 Evaluate:

1 1/5 + 2 3/10   /  4 - 1 7/10

   
 

DECIMAL NUMBERS

       
BA-46  Naming the Place Value of a Digit Give the place value of the underlined digit:

612.06783

   
BA-47  Identifying the Value of a Digit Give the value of the underlined digit:

12,354.103591

   
BA-48  Writing Word Names Given the Decimal Numbers Write the word name for 72.00452      
BA-49  Writing Decimal Numbers Given the Word Names Write the decimal number for:

Thirty four and two hundred twelve hundred millionths

    
BA-50  More on Word Names and Decimal Numbers        
BA-51  Comparing Decimal Numbers Arrange from smallest to largest:

30.304, 303.04, 0.30304, 0.0030404

     
BA-52  Rounding Decimal Numbers  Round 321.078456 to the nearest ten thousandth  
BA-53  Adding/Subtracting Decimal Numbers Evaluate: 10.556 + 201.0678 + 32 - 160.047  
BA-54  Multiplying Decimal Numbers Multiply:  0.02 x 0.003 x 1.2  
BA-55  Dividing Decimal Numbers Divide: 153.056 ÷ 0.12  
BA-56  Raising Decimal Numbers to Nonzero Whole Numbers Evaluate: (0.1)8     
BA-57  Performing Combined Operations on Decimal Numbers Evaluate: (0.2)2 - (0.02)3    
 

FRACTIONS AND DECIMALS

       
BA-58  Writing a Terminating Decimal as a Fraction    
BA-59  Writing a Fraction as a Decimal    
 

RATIOS, RATES, PROPORTIONS

       
BA-60  Writing Ratios as Fractions in Lowest Terms          
BA-61  Finding Rates/Unit Rates        
BA-62  Understanding What Proportions Are       
BA-63  Solving Proportions    
BA-64  Solving Word Problems Involving Proportions    
 

PERCENTS, FRACTIONS, DECIMALS

       
BA-65  Understanding Percent       
BA-66  Writing a Fraction as a Percent    
BA-67  Writing a Percent as a Fraction    
BA-68  Writing a Decimal as a Percent    
BA-69  Writing a Percent as a Decimal      
BA-70  Converting Percent-Fraction-Decimal    
 

PERCENT APPLICATIONS

       
BA-71  Solving Simple Percent Problems    
BA-72  Solving Word Problems Involving Percent    
 

GEOMETRY APPLICATIONS

       
BA-73  Finding the Perimeter of a Square/Rectangle      
BA-74  Finding the Area of a Square/Rectangle      
BA-75  Finding the Circumference of a Circle      
BA-76  Finding the Area of a Circle      
BA-77  Finding the Volume of a Rectangular Prism      
 

OTHER TOPICS

       
BA-78  Using Correct Vocabulary      
BA-79  Translating and Evaluating Verbal Expressions