Numbers and QuantitiesMenu1The Decimal System and Numbers up to 100Activity Set 12The Number Line3How to compare the size of numbers4What Are Number Pairs to 10?Activity Set 15What Are Even and Odd NumbersActivity Set 16The Place Value SystemActivity Set 17Sets of NumbersActivity Set 18Set Notation and Intervals9Number PatternsActivity Set 110Exploring Number PatternsActivity Set 111Number Sequences and PatternsActivity Set 112What are arithmetic sequences?Activity Set 113Square numbers, cubic numbers, rectangular numbers, and triangular numbersActivity Set 114Recursive and Explicit FormulasActivity Set 115What Are Series in Math?Activity Set 116Arithmetic SeriesActivity Set 117How to Calculate Amortizing Loans with Series FormulasActivity Set 1Find the fixed principal payment per period for each amortizing loan described below. Each loan is repaid with equal principal payments (principal divided evenly across all repayment periods). For questions that ask per month, divide by the number of months (years × 12); for per year, divide by the number of years. Provide each answer in the same numeric format.CheckResetContinue18Geometric Series FormulasActivity Set 119Infinite Geometric Series and Convergence IntervalsActivity Set 120How Is Fixed-rate Mortgage Calciulated?Activity Set 121How to Calculate Present Values Using Timelines22How to Calculate Future Values Using Timelines23Examples of Calculations with Series24What Is Decimal Notation?25Which Number is In the Tenths PlaceActivity Set 126Which Number Is in the Hundredths Place?Activity Set 127What Does Negative Numbers Mean?Activity Set 128How to Calculate with Negative Numbers29What Are Prime Numbers?Activity Set 130Prime Factorization Using the Division Method31Prime Factorization Using a Factor Tree32Scientific NotationActivity Set 133Calculate with Scientific Notation?Activity Set 134Scientific Notation and Standard NotationActivity Set 135What Are Complex Numbers?36What Does the Complex Plane Mean?Activity Set 1Activity Set 237What Is Polar Form for Complex Numbers?38What Is the Norm and the Argument of a Complex Number?39What Is Euler’s Formula for Complex Numbers?40What Are Complex Conjugates?Activity Set 1Activity Set 241Addition and Subtraction of Complex NumbersActivity Set 142How to Multiply Complex NumbersActivity Set 1Activity Set 2Activity Set 343How Can You Simplify Complex Fractions44What Are the Roots of a Complex Number?45What Is de Moivre's Formula and How Do You Use It?46How to Find the Distance Between Two Complex NumbersActivity Set 147How to Find the Midpoint of Two Complex NumbersActivity Set 148How to Solve Linear Equations with Complex Numbers49How to Solve Quadratic Equations with Complex Numbers50How to Factorize Complex Polynomials51What Is the Fundamental Theorem of Algebra?Activity Set 152Addition with Help from the Number LineActivity Set 153Subtraction with Help from the Number LineActivity Set 154Addition and Subtraction (The Place-value System)Activity Set 155How to Add Using the Column MethodActivity Set 156How to Subtract Using the Column MethodActivity Set 157Multiplication as Repeated Addition58The Times Tables59Which Products Give the Answers in the Times Tables?60How to Multiply by 1061How to Multiply by 10062How to Multiply by 100063How Long Multiplication Works64What Is Doubling in Math?65What Does Halving Mean in Math?66Division as Inverse Multiplication67What Are the Divisibility Rules?68How to Divide by 1069How to Divide by 10070How to Divide by 100071How to Do Long Division72Examples of Long Division73What Are Powers in Math?74What Are the Power Rules?75What Are Powers of 10?76How Square Roots Work77Square Roots of Products and Fractions78Order of Operations (MDAS)79Parentheses and Order of OperationsActivity Set 180Order of Operations (PEMDAS)81Signs in Math (Positive or Negative)82How to Do Mental Math (Rounding)Activity Set 183How to Do Mental Math (Estimates)84How to Round a NumberActivity Set 185How to Make Estimates (Mental Math)Activity Set 186How to Calculate the Cost per Unit87What Are Fractions?88What Is the Value of a Fraction?89Proper Fraction, Improper Fraction and Mixed Fraction90How Do You Expand Fractions?91How Do You Simplify Fractions?92How to Simplify a Fraction by Canceling93Add and Subtract Fractions with Equal Denominators94Add and Subtract Fractions with Different Denominators95Find the Common Denominator by Multiplying Denominators96Find the Common Denominator by Expanding or Simplifying97Find the Common Denominator Using the Times Tables98How to Find the Common Denominator Using Factorization99How to Multiply Fractions100How to Multiply Fractions by Cross-canceling101How to Divide Fractions102What Does Percentage Mean?103How Can You Calculate Percentages?104How to Find Relative Percent Change105How to Calculate Growth Factor106How to Use Growth Factors in Calculations107How Do Percentage Points Work?108Convert Percentages to Fractions and Decimal Numbers109Convert Fractions and Decimal Numbers to Percentages110How to Convert Between Decimal Numbers and Fractions111Converting Fractions, Decimal Numbers and Percentages112What are the units of measurement in the metric system?Activity Set 1113What are the metric units for length?Activity Set 1114What are the metric units for area?Activity Set 1115What are the metric units for volume?Activity Set 1116What are the metric units for weight?Activity Set 1117What Are the Prefixed for SI Units?Activity Set 1118Volumetric Mass Density (Metric)Activity Set 1119What Is Temperature and What Are Degrees Celsius?Activity Set 1120How Do You Calculate Metric Units of Measurement?Activity Set 1121Choosing Appropriate Metric Units of MeasurementActivity Set 1122What Are the Units of Measurement in the Imperial System?Activity Set 1123What Are the Imperial Units for Length?Activity Set 1124What Are the Imperial Units for Area?Activity Set 1125What Are the Imperial Units for Volume?Activity Set 1126What Are the Imperial Units for Weight?Activity Set 1127How to Find Volumetric Mass Density (Imperial)Activity Set 1128What Is Temperature and What Are Degrees Fahrenheit?Activity Set 1129How Do You Calculate Imperial Units of Measurement?Activity Set 1130How Do You Convert Imperial to Metric?Activity Set 1131How Do You Convert Metric to Imperial?132The Digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)133How Do Significant Figures Work?Activity Set 1134Measurement Uncertainty MeanActivity Set 1135What Does Relative Measurement Uncertainty Mean?Activity Set 1136What Is Digital and Analog Clock?137Learning About the Clock (Seconds)Activity Set 1138Learning About the Clock (Minutes)Activity Set 1139Learning About the Clock (Hours)Activity Set 1140Learning About the Clock (Whole and Half Hours)141Learning About the Clock (Quarters of an Hour)142Learning About the Clock (Ten To and Ten Past)143Learning About the Clock (Five To and Five Past)144Mental Arithmetic with Time145Calculations with the ClockActivity Set 1146What Is Day and Night?147What Are Days and Weeks?148What Are Months?149What Are the Seasons of the Year?150Scale RatioActivity Set 1151Read Blueprint ScaleActivity Set 1152What Is the ratio Between Two Numbers?Activity Set 1153What Does Mixing Ratio Mean?154How to Find Distance if You Have Velocity and TimeActivity Set 1155What Is a Speed Diagram?156Coins of the United States Dollar157Banknotes of the United States Dollar158How Do You Count MoneyActivity Set 1159How Math Is Used in ShoppingActivity Set 1160How Currency Exchange WorksActivity Set 1161How Can Personal Finance Best Be Managed?Activity Set 1162What Are the Different Types of Income?Activity Set 1163How Does Commission Salary Work?Activity Set 1164How Does Tax and Tax Basis Work?Activity Set 1Activity Set 2165How Do Bonus Payments Work?166How Value-added Tax is CalculatedActivity Set 1167How Credit Card Interest Rates WorkActivity Set 1168Krone value and consumer price indexActivity Set 1169What Are Price Index and Consumer Price Index?170What Are Real Wages in Economics?171How Do Loans Work?Activity Set 1172What Is an Amortizing Loan?Activity Set 1173Fixed-rate MortgageActivity Set 1174How to Budget Your Money?Activity Set 1175How to Use Spreadsheets for Accounting176Interest over one periodActivity Set 1177Interest Over Several PeriodsActivity Set 1178How to Compute Compound Interest on SavingsActivity Set 1179What Do Revenue, Cost, Unit Cost and Profit Mean?180How Do Price and Demand Affect Revenue?181Marginal Revenue, Marginal Cost and Marginal Profit182How to Find Cost-minimizing Input183How to Find Profit-maximizing Input184What is a vector?Activity Set 1185What Does Vector Coordinates MeanActivity Set 1186Position VectorActivity Set 1187How Does Vector Addition WorkActivity Set 1188Multiplying Vector by ScalarActivity Set 1189Vector Between Two PointsActivity Set 1190Length of a VectorActivity Set 1191Distance Between Two Points Using VectorsActivity Set 1192Parallel VectorsActivity Set 1193Scalar Product of Two Vectors (2D)Activity Set 1194How Can You Find the angle Between Two Vectors?Activity Set 1195Unit VectorActivity Set 1196Basis vectorsActivity Set 1197Medians of a TriangleActivity Set 1198How to Parametrize a Line?Activity Set 1199Vector equationsActivity Set 1200Vector functionsActivity Set 1201Vectors in spaceActivity Set 1202The dot product in three dimensionsActivity Set 1203The vector productActivity Set 1204The right-hand rule205How To Calculate the Area of a Parallelogram with Vectors?Activity Set 1206How to Calculate the Area of a Triangle with VectorsActivity Set 1207The volume of a rectangular prism, pyramid, and tetrahedronActivity Set 1208What does Parametrization mean?209Parametrization of Lines in SpaceActivity Set 1210PlaneActivity Set 1211Angle between two linesActivity Set 1212Angle between a line and a planeActivity Set 1213Angle between two planesActivity Set 1214Distance from a point to a lineActivity Set 1215Distance between linesActivity Set 1216Distance from a point to a planeActivity Set 1217Distance between a line and a planeActivity Set 1218Distance between two planesActivity Set 1219What Is The Equation for a Sphere Activity Set 1220How to Find the Surface Area of a Spherical SegmentActivity Set 1221The Intersection Between Planes and the Coordinate AxesActivity Set 1222How to Find the Intersection Between Line and PlaneActivity Set 1223How to Find the Intersection Between Two PlanesActivity Set 1224Intersection Between a Tangent Plane and a SphereActivity Set 1
Find the fixed principal payment per period for each amortizing loan described below. Each loan is repaid with equal principal payments (principal divided evenly across all repayment periods). For questions that ask per month, divide by the number of months (years × 12); for per year, divide by the number of years. Provide each answer in the same numeric format.CheckResetContinue
