Evaluate numerical expressions involving decimals

Learning Objectives Identify the components of a numerical expression involving decimals. Apply the order of operations (PEMDAS/BODMAS) to expressions containing decimals. Accurately perform addition, subtraction, multiplication, and division with decimals. Evaluate multi-step numerical expressions that include decimal numbers. Solve real-world problems by constructing and evaluating decimal expressions. Check the reasonableness of their answers when evaluating decimal expressions. Ever wondered how stores calculate your total bill with discounts and sales tax? 🛒 It all comes down to evaluating expressions with decimals! In this lesson, you'll learn how to systematically solve mathematical problems that combine different operations and decimal numbers. Mastering this...

TermDefinitionExample Numerical ExpressionA mathematical phrase that contains numbers and operation symbols (like +, -, ×, ÷) but does not have an equality sign (=).3.5 + 2.1 × 4 DecimalA number that uses a decimal point to represent a whole number and fractional parts (tenths, hundredths, thousandths, etc.).0.75, 12.3, 5.001 Order of OperationsA set of rules that dictate the sequence in which mathematical operations should be performed to ensure a single, correct answer. Often remembered by the acronym PEMDAS or BODMAS.In 2 + 3 × 4, multiplication (3 × 4) is done before addition (2 + 12). TermA single number or a product/quotient of numbers within an expression, separated by addition or subtraction signs.In the expression 3.5 + 2.1 × 4, '3.5' is a term and '2.1 × 4' i...

Order of Operations (PEMDAS/BODMAS) 1. Parentheses/Brackets (P/B) 2. Exponents/Orders (E/O) 3. Multiplication and Division (M/D) from left to right 4. Addition and Subtraction (A/S) from left to right This universal rule ensures consistency in evaluating expressions. Always perform operations inside grouping symbols first, then exponents, then multiplication and division (whichever comes first from left to right), and finally addition and subtraction (whichever comes first from left to right). Decimal Addition and Subtraction Rule Align the decimal points vertically, then add or subtract the numbers as you would with whole numbers. Place the decimal point in the answer directly below the aligned decimal points. This rule is critical for maintaining correct place value when c...