Perform multiple operations with integers

Learning Objectives Apply the order of operations (PEMDAS/BODMAS) to expressions involving multiple integers. Accurately perform addition, subtraction, multiplication, and division with positive and negative integers. Solve multi-step problems involving integers, including those presented in real-world contexts related to units of measurement. Identify and correct common errors related to integer operations and order of operations. Simplify complex integer expressions using properties of operations. Translate word problems involving quantities and changes (units) into mathematical expressions with integers. Ever wonder how scientists calculate temperature changes over time, or how engineers manage altitude adjustments for a drone? 🌡️✈️ These real-world scenarios often involv...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. Examples include -3, 0, 5.In a temperature reading, -5°C is an integer representing 5 degrees below zero. Order of Operations (PEMDAS/BODMAS)A set of rules that dictates the sequence in which mathematical operations should be performed to ensure a unique and correct answer. It stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).In $5 + 2 \times 3$, multiplication is done before addition, so $5 + 6 = 11$, not $7 \times 3 = 21$. Absolute ValueThe distance of a number from zero on the number line, always expressed as a non-negative value. It is denoted by vertical bars around the number....

Order of Operations (PEMDAS/BODMAS) 1. Parentheses/Brackets (innermost first) 2. Exponents/Orders 3. Multiplication and Division (from left to right) 4. Addition and Subtraction (from left to right) This rule ensures consistency in evaluating expressions. Operations at the same level (e.g., multiplication and division) are performed from left to right. Rules for Adding and Subtracting Integers $\bullet$ Same Signs: Add the absolute values and keep the common sign. (e.g., $-3 + (-5) = -8$) $\bullet$ Different Signs: Subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. (e.g., $-7 + 4 = -3$) $\bullet$ Subtracting an integer is the same as adding its additive inverse. (e.g., $5 - (-3) = 5 + 3 = 8$) The...