Evaluate numerical expressions involving whole numbers

Learning Objectives Identify whole numbers and operation symbols within numerical expressions. Recall and state the standard order of operations (PEMDAS/BODMAS). Apply the order of operations to simplify numerical expressions containing whole numbers. Accurately evaluate expressions involving parentheses, exponents, multiplication, division, addition, and subtraction. Solve multi-step numerical problems by constructing and evaluating appropriate expressions. Interpret real-world scenarios and translate them into numerical expressions for evaluation. Ever wonder how calculators know what to do first when you type in a long math problem like '5 + 3 × 2'? 🤔 It's all about following a universal set of rules! In this lesson, you'll master the essential rules...

TermDefinitionExample Numerical ExpressionA mathematical phrase that contains numbers and operation symbols (like +, -, ×, ÷), but does not contain an equality sign (=). It represents a single value.$15 - (3 \times 2) + 7$ Whole NumbersThe set of non-negative integers: 0, 1, 2, 3, and so on. They are used for counting and measuring discrete quantities.In the expression $8 + 2 \times 5$, the numbers 8, 2, and 5 are whole numbers. EvaluateTo find the numerical value of an expression by performing all the indicated operations. The goal is to simplify the expression down to a single number.To evaluate $4 + 5$, you perform the addition to get $9$. Order of OperationsA standard set of rules that dictates the sequence in which mathematical operations should be performed in an expression to ensur...

Rule 1: Parentheses/Brackets Perform all operations inside grouping symbols (parentheses, brackets, braces) first. If there are nested grouping symbols, work from the innermost outwards. Grouping symbols dictate that the operations within them take precedence over all other operations. This ensures that a specific part of the expression is evaluated as a single unit before interacting with the rest of the expression. Rule 2: Exponents Evaluate all exponents (powers) after addressing grouping symbols. Exponents represent repeated multiplication of a base number. They are performed before multiplication, division, addition, or subtraction, as indicated by the 'E' or 'O' in PEMDAS/BODMAS. Rule 3: Multiplication and Division Perform all multiplication a...