Evaluate numerical expressions involving integers

Key Notes :

Understanding Integers

• Integers: Integers are whole numbers that can be positive, negative, or zero.
• Positive Integers: Integers greater than zero, represented by numbers without a minus sign (e.g., 1, 2, 3).
• Negative Integers: Integers less than zero, represented by numbers with a minus sign (e.g., -1, -2, -3).
• Zero: The integer that is neither positive nor negative.

Order of Operations (PEMDAS)

• Parentheses: Perform operations inside parentheses first.
• Exponents: Evaluate expressions with exponents.
• Multiplication and Division: Perform multiplication and division from left to right.
• Addition and Subtraction: Perform addition and subtraction from left to right.  

Evaluating Expressions

1. Identify the operations: Determine the order in which the operations should be performed.
2. Perform the operations: Follow the order of operations to evaluate the expression.
3. Simplify the result: If possible, simplify the final answer.

Example:

Evaluate the expression: 2 * (3 + 4) – 5²

1. Parentheses: 2 * 7 – 5²
2. Exponents: 2 * 7 – 25
3. Multiplication: 14 – 25
4. Subtraction: -11

Key Points to Remember:

• Always follow the order of operations (PEMDAS) when evaluating expressions.
• Pay attention to signs, especially when dealing with negative integers.
• Practice evaluating expressions with different combinations of operations.

Learn with Example

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