Arithmetic and Operations
Arithmetic and operations form the beating heart of mathematics, giving us the universal rules for combining, changing, and understanding numbers. Whether you are calculating simple quantities or balancing complex equations, these fundamental processes are the everyday tools we use to navigate the mathematical world.
In this space, you will build a rock-solid foundation in exactly how numbers interact with one another. From mastering core numerical actions to discovering the structural properties that make math logical and predictable, you will develop the fluency needed to tackle any numerical challenge. You will also uncover how operations perfectly undo one another and learn essential strategies to estimate, organize, and calculate with absolute confidence.
Mathematics is a language, and arithmetic provides your essential vocabulary. Dive into the topics below to strengthen your calculation skills, discover new problem-solving strategies, and unlock the true power of numbers.
Articles in this topic
- Addends and SumAddends and Sum: Definition, Method and ExamplesRead more
- Adding IntegersAdding Integers: Definition, Method and ExamplesRead more
- Adding and Subtracting Positive and Negative NumbersAdding and Subtracting Positive and Negative Numbers: Definition, Method and ExamplesRead more
- AdditionAddition: Definition, Method and ExamplesRead more
- Addition and Subtraction on a Number LineAddition and Subtraction on a Number Line: Definition, Method and ExamplesRead more
- Addition With RegroupingAddition With Regrouping: Definition, Method and ExamplesRead more
- Addition Word ProblemsAddition Word Problems: Definition, Method and ExamplesRead more
- Area Model for MultiplicationArea Model for Multiplication: Definition, Method and ExamplesRead more
- Associative Property of AdditionAssociative Property of Addition: Definition, Method and ExamplesRead more
- Associative Property of MultiplicationAssociative Property of Multiplication: Definition, Method and ExamplesRead more
- Bar Models in MathBar Models in Math: Definition, Method and ExamplesRead more
- BODMAS, BIDMAS and BEDMASBODMAS, BIDMAS and BEDMAS: Definition, Method and ExamplesRead more
- Brackets and Parentheses in MathBrackets and Parentheses in Math: Definition, Method and ExamplesRead more
- Checking Addition and SubtractionChecking Addition and Subtraction: Definition, Method and ExamplesRead more
- Checking Reasonableness of AnswersChecking Reasonableness of Answers: Definition, Method and ExamplesRead more
- Checking Word Problem AnswersChecking Word Problem Answers: Definition, Method and ExamplesRead more
- Choosing Operations in Word ProblemsChoosing Operations in Word Problems: Definition, Method and ExamplesRead more
- Column AdditionColumn Addition: Definition, Method and ExamplesRead more
- Column SubtractionColumn Subtraction: Definition, Method and ExamplesRead more
- Commutative Property of AdditionCommutative Property of Addition: Definition, Method and ExamplesRead more
- Commutative Property of MultiplicationCommutative Property of Multiplication: Definition, Method and ExamplesRead more
- Compatible NumbersCompatible Numbers: Definition, Method and ExamplesRead more
- Distributive Property of MultiplicationDistributive Property of Multiplication: Definition, Method and ExamplesRead more
- Dividend, Divisor and QuotientDividend, Divisor and Quotient: Definition, Method and ExamplesRead more
- DivisionDivision: Definition, Method and ExamplesRead more
- Division Algorithm and CheckingDivision Algorithm and Checking: Definition, Method and ExamplesRead more
- Division by ZeroDivision by Zero: Definition, Method and ExamplesRead more
- Division With RemaindersDivision With Remainders: Definition, Method and ExamplesRead more
- Division as Sharing and GroupingDivision as Sharing and Grouping: Definition, Method and ExamplesRead more
- Division Word ProblemsDivision Word Problems: Definition, Method and ExamplesRead more
- Estimating CalculationsEstimating Calculations: Definition, Method and ExamplesRead more
- Estimating Products and QuotientsEstimating Products and Quotients: Definition, Method and ExamplesRead more
- Estimating Sums and DifferencesEstimating Sums and Differences: Definition, Method and ExamplesRead more
- Estimation StrategiesEstimation Strategies: Definition, Method and ExamplesRead more
- Evaluating Numerical ExpressionsEvaluating Numerical Expressions: Definition, Method and ExamplesRead more
- Identity Property of AdditionIdentity Property of Addition: Definition, Method and ExamplesRead more
- Identity Property of MultiplicationIdentity Property of Multiplication: Definition, Method and ExamplesRead more
- Integer OperationsInteger Operations: Definition, Method and ExamplesRead more
- Integer Word ProblemsInteger Word Problems: Definition, Method and ExamplesRead more
- Inverse Relationship Between Addition and SubtractionInverse Relationship Between Addition and Subtraction: Definition, Method and ExamplesRead more
- Long DivisionLong Division: Definition, Method and ExamplesRead more
- Long MultiplicationLong Multiplication: Definition, Method and ExamplesRead more
- Math Operation Words and SymbolsMath Operation Words and Symbols: Definition, Method and ExamplesRead more
- Problem-Solving Strategies in MathProblem-Solving Strategies in Math: Definition, Method and ExamplesRead more
- Math Word ProblemsMath Word Problems: Definition, Method and ExamplesRead more
- Mental MathMental Math: Definition, Method and ExamplesRead more
- Mental Math StrategiesMental Math Strategies: Definition, Method and ExamplesRead more
- Minuend, Subtrahend and DifferenceMinuend, Subtrahend and Difference: Definition, Method and ExamplesRead more
- Missing Number ProblemsMissing Number Problems: Definition, Method and ExamplesRead more
- Multi-Step Word ProblemsMulti-Step Word Problems: Definition, Method and ExamplesRead more
- Multiplicand, Multiplier and ProductMultiplicand, Multiplier and Product: Definition, Method and ExamplesRead more
- MultiplicationMultiplication: Definition, Method and ExamplesRead more
- Multiplication ArraysMultiplication Arrays: Definition, Method and ExamplesRead more
- Multiplication and Division Fact FamiliesMultiplication and Division Fact Families: Definition, Method and ExamplesRead more
- Multiplication Facts and Times TablesMultiplication Facts and Times Tables: Definition, Method and ExamplesRead more
- Multiplication With RegroupingMultiplication With Regrouping: Definition, Method and ExamplesRead more
- Multiplication Word ProblemsMultiplication Word Problems: Definition, Method and ExamplesRead more
- Multiplying by 10, 100 and 1,000Multiplying by 10, 100 and 1,000: Definition, Method and ExamplesRead more
- Multiplying and Dividing IntegersMultiplying and Dividing Integers: Definition, Method and ExamplesRead more
- Numerical ExpressionsNumerical Expressions: Definition, Method and ExamplesRead more
- Operations With Negative NumbersOperations With Negative Numbers: Definition, Method and ExamplesRead more
- Order of OperationsOrder of Operations: Definition, Method and ExamplesRead more
- Order of Operations With IntegersOrder of Operations With Integers: Definition, Method and ExamplesRead more
- PEMDASPEMDAS: Definition, Method and ExamplesRead more
- Properties of AdditionProperties of Addition: Definition, Method and ExamplesRead more
- Properties of IntegersProperties of Integers: Definition, Method and ExamplesRead more
- Properties of MultiplicationProperties of Multiplication: Definition, Method and ExamplesRead more
- Repeated Addition and Equal GroupsRepeated Addition and Equal Groups: Definition, Method and ExamplesRead more
- Short DivisionShort Division: Definition, Method and ExamplesRead more
- Strip Diagrams and Tape DiagramsStrip Diagrams and Tape Diagrams: Definition, Method and ExamplesRead more
- Subtracting IntegersSubtracting Integers: Definition, Method and ExamplesRead more
- SubtractionSubtraction: Definition, Method and ExamplesRead more
- Subtraction With RegroupingSubtraction With Regrouping: Definition, Method and ExamplesRead more
- Subtraction Word ProblemsSubtraction Word Problems: Definition, Method and ExamplesRead more
- Translating Words Into MathTranslating Words Into Math: Definition, Method and ExamplesRead more
- Two-Step Addition and Subtraction Word ProblemsTwo-Step Addition and Subtraction Word Problems: Definition, Method and ExamplesRead more
- Two-Step Multiplication and Division Word ProblemsTwo-Step Multiplication and Division Word Problems: Definition, Method and ExamplesRead more
- Two-Step Word ProblemsTwo-Step Word Problems: Definition, Method and ExamplesRead more
- Zero Property of MultiplicationZero Property of Multiplication: Definition, Method and ExamplesRead more
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