CONCEPT PREVIEW Evaluate each expression. 2 • 5 - 10 ÷ 2

Verified step by step guidance

1. Identify the operations in the expression: multiplication, subtraction, and division.
2. Apply the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
3. First, perform the multiplication: calculate $2\times 5$.
4. Next, perform the division: calculate $10÷2$.
5. Finally, perform the subtraction: subtract the result of the division from the result of the multiplication.

Key Concepts

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) is commonly used to remember this order. Following these rules is essential for accurately evaluating expressions.

Multiplication and Division

Multiplication and division are fundamental arithmetic operations that are performed at the same level of precedence in the order of operations. When evaluating an expression, any multiplication or division should be carried out from left to right as they appear. This means that if both operations are present, you perform them in the order they occur in the expression.

Basic Arithmetic Operations

Basic arithmetic operations include addition, subtraction, multiplication, and division, which are the foundational operations in mathematics. Understanding how to perform these operations and their properties is crucial for evaluating expressions correctly. Each operation has specific rules and effects on numbers, which are essential for solving mathematical problems.