Perform multiple operations with integers

Learning Objectives Apply the order of operations (PEMDAS/BODMAS) to expressions involving integers. Accurately add and subtract integers in multi-step problems. Correctly multiply and divide integers in multi-step problems. Evaluate expressions containing a mix of addition, subtraction, multiplication, and division of integers. Solve real-world problems that require multiple operations with integers. Identify and correct common errors when performing operations with integers. Ever wondered how a submarine captain calculates depth changes after multiple ascents and descents? 🚢 It's all about performing multiple operations with integers! In this lesson, you'll learn how to tackle math problems that combine addition, subtraction, multiplication, and division of int...

TermDefinitionExample IntegerWhole numbers (positive, negative, or zero) without fractional or decimal parts.-3, 0, 5, -100 Order of OperationsA set of rules that dictate the sequence in which mathematical operations should be performed to ensure a unique result.PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and and Subtraction) Absolute ValueThe distance of a number from zero on the number line, always a non-negative value.| -5 | = 5 and | 5 | = 5 Positive IntegerAn integer greater than zero.1, 2, 10, 100 Negative IntegerAn integer less than zero.-1, -2, -10, -100 ExpressionA mathematical phrase that can contain numbers, variables, and operation symbols, but no equality sign.$5 + (-3) \times 2$

Order of Operations (PEMDAS/BODMAS) 1. Parentheses/Brackets 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 within parentheses are done first, then exponents, then multiplication/division, and finally addition/subtraction. Rules for Multiplying/Dividing Integers $\text{Positive } \times \text{ Positive = Positive}$ $\text{Negative } \times \text{ Negative = Positive}$ $\text{Positive } \times \text{ Negative = Negative}$ $\text{Negative } \times \text{ Positive = Negative}$ When multiplying or dividing two integers, if the signs are the same, the result is positive. If the signs are different, the result is negative. Rules for Addin...