Evaluate numerical expressions involving whole numbers

Learning Objectives Define and identify numerical expressions and whole numbers. Recall and state the standard order of operations (PEMDAS/BODMAS). Apply the order of operations to evaluate numerical expressions involving whole numbers. Accurately perform arithmetic operations within multi-step expressions. Break down complex numerical expressions into manageable steps. Identify and correct common errors made when evaluating expressions. Confidently evaluate expressions with and without grouping symbols. Have you ever followed a recipe or assembly instructions? 📝 Just like those, math has a specific order we must follow to get the right result! In this lesson, you'll learn how to evaluate numerical expressions that use only whole numbers. Understanding the correct o...

TermDefinitionExample Numerical ExpressionA mathematical phrase that contains numbers and at least one operation symbol (like +, -, ×, ÷). It does not contain an equals sign.5 + 3 × 2 Whole NumbersThe set of non-negative integers (0, 1, 2, 3, ...). These are the numbers we use for counting and zero.0, 7, 125, 1000 OperationA mathematical process such as addition, subtraction, multiplication, or division, performed on numbers.In 10 - 4, subtraction (-) is the operation. EvaluateTo find the single numerical value of an expression by performing all indicated operations.To evaluate 3 + 4, you find its value, which is 7. Order of OperationsA set of rules that dictates the sequence in which mathematical operations should be performed to ensure a unique and correct answer.According to the order...

Order of Operations (PEMDAS/BODMAS) 1. **P**arentheses (or **B**rackets) 2. **E**xponents (or **O**rders/Indices) 3. **M**ultiplication and **D**ivision (from left to right) 4. **A**ddition and **S**ubtraction (from left to right) This rule, often remembered by the acronym PEMDAS or BODMAS, tells us the exact sequence to follow when evaluating any numerical expression to ensure everyone gets the same correct answer. Operations at the same level (like multiplication and division, or addition and subtraction) are performed from left to right. Parentheses First $$(a + b) \times c$$ Always perform operations inside grouping symbols (parentheses, brackets, braces) before any operations outside of them. If there are nested grouping symbols, work from the innermost set outwards....