Evaluate numerical expressions involving integers

Learning Objectives Identify integers and numerical expressions. Recall and apply the rules for adding, subtracting, multiplying, and dividing integers. Understand and correctly apply the order of operations (PEMDAS/BODMAS) to numerical expressions. Evaluate numerical expressions containing various operations and grouping symbols with integers. Recognize and correct common errors made when evaluating expressions with integers. Simplify complex numerical expressions involving multiple integer operations. Ever wonder how meteorologists calculate temperature changes 🌡️ or how accountants track money owed and earned 💰? It all involves working with positive and negative numbers! In this lesson, you'll learn how to 'evaluate' or find the value of numerical express...

TermDefinitionExample Numerical ExpressionA mathematical phrase that contains numbers and operation symbols (like +, -, ×, ÷) but no equality sign.5 + (-3) × 2 IntegerWhole numbers (positive, negative, or zero). They do not include fractions or decimals...., -3, -2, -1, 0, 1, 2, 3, ... Order of OperationsA set of rules that dictates the sequence in which operations should be performed in a mathematical expression to ensure a unique result. Often remembered by PEMDAS or BODMAS.In 2 + 3 × 4, multiplication is done before addition. Grouping SymbolsParentheses (), brackets [], braces {}, or fraction bars that indicate which parts of an expression should be evaluated first.In (5 - 2) × 3, 5 - 2 is calculated first. OperatorA symbol that represents a mathematical operation, such as addition (+)...

Order of Operations (PEMDAS/BODMAS) 1. **P**arentheses (or **B**rackets) 2. **E**xponents (or **O**rders/Powers) 3. **M**ultiplication and **D**ivision (from left to right) 4. **A**ddition and **S**ubtraction (from left to right) This rule ensures that everyone gets the same answer when evaluating an expression. Operations within grouping symbols are always done first. Multiplication and division have equal priority, as do addition and subtraction; when they appear together, perform them from left to right. Rules for Adding and Subtracting Integers * Adding integers with the same sign: Add their absolute values and keep the common sign. * Adding integers with different signs: Subtract the smaller absolute value from the larger absolute value and use the sign of the number...