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HomeHomework HelpmathematicsArithmetic Operations and Properties

Arithmetic Operations and Properties

Arithmetic operations refer to the basic mathematical operations of addition, subtraction, multiplication, and division, which are governed by specific properties such as commutativity, associativity, and distributivity.

beginner
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Mathematics
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Overview

Arithmetic operations form the foundation of mathematics, allowing us to perform calculations and solve problems in everyday life. Understanding addition, subtraction, multiplication, and division is crucial for developing further mathematical skills. Each operation has unique properties that enhanc...

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Key Terms

Addition
The process of finding the total or sum by combining two or more numbers.

Example: 2 + 3 = 5

Subtraction
The process of taking one number away from another.

Example: 5 - 2 = 3

Multiplication
The process of adding a number to itself a certain number of times.

Example: 4 × 3 = 12

Division
The process of splitting a number into equal parts or groups.

Example: 12 ÷ 4 = 3

Commutative Property
The property that states the order of numbers does not change the sum or product.

Example: a + b = b + a

Associative Property
The property that states how numbers are grouped does not change the sum or product.

Example: (a + b) + c = a + (b + c)

Related Topics

Fractions
Understanding parts of a whole and how to perform operations with them.
intermediate
Decimals
Working with numbers that have a decimal point and their operations.
intermediate
Order of Operations
The rules for the sequence in which operations are performed.
intermediate
Basic Algebra
Introduction to using letters and symbols to represent numbers in equations.
advanced

Key Concepts

AdditionSubtractionMultiplicationDivisionProperties of Operations