Example

Basic Arithmetic Calculations

Arithmetic calculations involve fundamental mathematical operations such as addition, subtraction, multiplication, and division. These operations are essential in solving various mathematical and real-life problems.

Understanding Basic Arithmetic Operations

Arithmetic consists of four primary operations:

• Addition (+): Combining two or more numbers to get a sum.
• Subtraction (−): Finding the difference between two numbers.
• Multiplication (×): Scaling a number by another.
• Division (÷): Splitting a number into equal parts.

Examples of Arithmetic Operations

Example 1: Addition

Adding two numbers together:

\[ a + b = \text{Sum} \]

Example:

• Step 1: Given numbers \( 12 + 8 \).
• Step 2: Perform the addition: \( 12 + 8 = 20 \).

Example 2: Subtraction

Finding the difference between numbers:

\[ a - b = \text{Difference} \]

Example:

• Step 1: Given numbers \( 20 - 5 \).
• Step 2: Perform the subtraction: \( 20 - 5 = 15 \).

Example 3: Multiplication

Multiplying two numbers:

\[ a \times b = \text{Product} \]

Example:

• Step 1: Given numbers \( 6 \times 4 \).
• Step 2: Perform the multiplication: \( 6 \times 4 = 24 \).

Example 4: Division

Dividing one number by another:

\[ a \div b = \text{Quotient} \]

Example:

• Step 1: Given numbers \( 30 \div 5 \).
• Step 2: Perform the division: \( 30 \div 5 = 6 \).

Real-life Applications of Arithmetic

Arithmetic is widely used in daily life for various purposes, such as:

• Managing finances, such as budgeting and expense calculations.
• Calculating discounts and total amounts while shopping.
• Determining travel distances and estimated time of arrival.
• Solving engineering and scientific problems.

Common Arithmetic Formulas

Addition: \( a + b = \text{Sum} \)

Subtraction: \( a - b = \text{Difference} \)

Multiplication: \( a \times b = \text{Product} \)

Division: \( a \div b = \text{Quotient} \)