Evaluate expressions involving integers

Learning Objectives Define key terms such as integer, expression, variable, and evaluate. Correctly apply the order of operations (PEMDAS/BODMAS) when evaluating expressions. Accurately perform arithmetic operations (addition, subtraction, multiplication, division) with positive and negative integers. Substitute given integer values for variables into algebraic expressions. Evaluate expressions containing exponents and absolute values involving integers. Identify and correct common errors made when evaluating expressions with integers. Ever wondered how mathematicians solve complex problems with negative numbers? 🤔 It all starts with understanding how to evaluate expressions involving integers! In this lesson, we'll dive into the world of integers and learn how to fin...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. Examples include -3, 0, 5, -100.The numbers -2, 0, and 7 are all integers. 1/2 and 3.14 are not. ExpressionA mathematical phrase that can contain numbers, variables, and operation symbols (like +, -, ×, ÷), but does not have an equals sign.5x - 3, 7 + (-2), and (y + 4) / 2 are all expressions. VariableA symbol, usually a letter, that represents an unknown or changing numerical value in an expression or equation.In the expression 3a + 7, 'a' is the variable. EvaluateTo find the numerical value of an expression by substituting given values for variables and performing the indicated operations.To evaluate 2x + 1 when x = 3, you substitute 3 for x and calculate 2(3) + 1 =...

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 ensures that everyone gets the same answer when evaluating an expression. Always work from left to right for operations at the same level (Multiplication/Division, Addition/Subtraction). Integer Addition and Subtraction Rules 1. **Same Signs**: Add the absolute values and keep the common sign. (e.g., $-3 + (-5) = -8$) 2. **Different Signs**: Subtract the smaller absolute value from the larger absolute value, and use the sign of the number with the larger absolute value. (e.g., $-7 + 10 = 3$, $4 + (-9) = -5$) 3. **Subtracting a Negative**: C...