Math 105 Basic Arithmetic

 Skill Sample Problem Notes Videos Practice Preparing for a Math Test Taking a Math Test 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: BA-9 Dividing Whole Numbers Divide: BA-10 Performing Long Division on Whole Numbers Divide: BA-11 Performing Combined Operations on Whole Numbers Evaluate: 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: BA-20 Multiplying Fractions Multiply: BA-21 Multiplying a Whole Number and a Fraction Multiply: BA-22 Multiplying Three or More Fractions Multiply: BA-23 Dividing Fractions Divide: BA-24 Adding Fractions with the Same Denominator Add: BA-25 Subtracting Fractions with the Same Denominator Subtract: BA-26 Writing Equivalent Fractions Write as a fraction with denominator of 60. BA-27 Finding the Least Common Denominator Find the LCD of . BA-28 Adding/Subtracting Fractions with Different Denominators Evaluate: BA-29 Raising Fractions to Nonzero Whole Numbers Evaluate: BA-30 Performing Combined Operations on Fractions I Evaluate: BA-31 Performing Combined Operations on Fractions II Evaluate: BA-32 Simplifying Complex Fractions Evaluate: MIXED NUMBERS BA-33 Mixed Numbers and Improper Fractions Write as a mixed number. Write as an improper fraction. BA-34 Simplifying Mixed Numbers Simplify: Simplify: BA-35 Multiplying Mixed Numbers Multiply: BA-36 Dividing Mixed Numbers Divide: BA-37 Adding Mixed Numbers: Same Denominator Add: BA-38 Adding Mixed Numbers: Different Denominators Add: BA-39 Subtracting Mixed Numbers I Subtract: BA-40 Subtracting Mixed Numbers II Subtract: BA-41 Subtracting a Mixed Number from a Whole Number Subtract: BA-42 More on Adding/Subtracting Mixed Numbers Evaluate: BA-43 Raising Mixed Numbers to Nonzero Whole Numbers Evaluate: BA-44 Performing Combined Operations on Mixed Numbers Evaluate: BA-45 Simplifying Complex Fractions Involving Mixed Numbers Evaluate: 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: BA-54 Multiplying Decimal Numbers Multiply: BA-55 Dividing Decimal Numbers Divide: BA-56 Raising Decimal Numbers to Nonzero Whole Numbers Evaluate: BA-57 Performing Combined Operations on Decimal Numbers Evaluate: FRACTIONS AND DECIMALS BA-58 Writing a Terminating Decimal as a Fraction Write 2.75 as a fraction in lowest terms. BA-59 Writing a Fraction as a Decimal Write as a decimal. RATIOS, RATES, PROPORTIONS BA-60 Writing Ratios as Fractions in Lowest Terms Write the ratio 56 to 72 as a fraction in lowest terms. BA-61 Finding Rates/Unit Rates Find the unit rate in miles per gallon: 320 miles for 15 gallons BA-62 Understanding What Proportions Are Determine if the given proportion is true or false: BA-63 Solving Proportions Solve: 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. PERCENTS, FRACTIONS, DECIMALS BA-65 Understanding Percent BA-66 Writing a Fraction as a Percent Write as a percent. BA-67 Writing a Percent as a Fraction Write 30% as a fraction in lowest terms. BA-68 Writing a Decimal as a Percent Write 0.204 as a percent. BA-69 Writing a Percent as a Decimal Write 52% as a decimal. BA-70 Converting Percent-Fraction-Decimal PERCENT APPLICATIONS BA-71 Solving Simple Percent Problems 32 is 20% of what number? 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. 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. 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. BA-75 Finding the Circumference of a Circle Find the circumference of a circle with radius 6 units.  Use . BA-76 Finding the Area of a Circle Find the area of a circle with diameter 2 ft.  Use . 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. OTHER TOPICS BA-78 Using Correct Vocabulary In the expression , 4 is called the _____ and 7 is called the ______. BA-79 Translating and Evaluating Verbal Expressions Translate and then evaluate: The square of 6 added to the product of 3 and 5.