Math Arithmetic

Introduction

Arithmetic is the branch of mathematics concerning the properties and manipulation of numbers. It lays the foundation for more advanced topics and is essential in everyday calculations.

Basic Arithmetic Operations

Addition

Addition is the process of combining two or more numbers to obtain their total or sum.

Example: $3 + 5 = 8$

Subtraction

Subtraction is the process of taking one number away from another.

Example: $10 - 4 = 6$

Multiplication

Multiplication is the process of combining equal groups of numbers. It can be thought of as repeated addition.

Example: $7 \times 3 = 21$

Division

Division is the process of splitting a number into equal parts. It is the inverse operation of multiplication.

Example: $20 \div 4 = 5$

Order of Operations: PEMDAS

To correctly evaluate expressions that contain more than one operation, follow the order of operations known as PEMDAS:

Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)

The acronym can remind you of the order in which to solve equations properly.

Example: In the expression $2 + 3 \times (4 - 1)$

First, solve the parentheses: $4 - 1 = 3$ . Then, do multiplication: $3 \times 3 = 9$ , and finally, addition: $2 + 9 = 11$ .

Conclusion

Arithmetic operations are the building blocks of mathematics. Understanding these operations and the order in which to perform them is essential for solving both simple and complex mathematical problems.

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