Evaluate each expression. See Example 5.10 + 30 ÷ 2 • 3

Verified step by step guidance

1. Identify the order of operations to solve the expression, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.
2. Start with the division operation: calculate \(30 \div 2\).
3. Next, perform the multiplication operation with the result from the division: multiply the result by 3.
4. Finally, add 10 to the result of the multiplication to complete the expression.

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. In the given expression, following these rules is essential to evaluate it correctly.

Division and Multiplication

Division and multiplication are operations that are performed at the same level of precedence in the order of operations. This means that when both operations appear in an expression, they should be evaluated from left to right. In the expression provided, the division (30 ÷ 2) must be calculated before the multiplication (result • 3) to arrive at the correct answer.

Addition

Addition is the operation of combining two or more numbers to obtain a total. In the context of the order of operations, addition is performed after multiplication and division. In the expression given, once the division and multiplication are completed, the result will be added to 10 to finalize the evaluation of the entire expression.