Pre-Algebra

Pre-Algebra introduces foundational concepts in mathematics, including integers, fractions, and basic equations, essential for higher-level math courses.

Understanding IntegersFractions and DecimalsOrder of Operations
Solving Basic EquationsFactors and MultiplesRatios and Proportions
Using Math in ShoppingCooking and MeasuringPlanning and Time Management
Check Your WorkBreak Down Big ProblemsUse Visuals and Drawings
Understanding Intege...Fractions and Decima...Order of OperationsSolving Basic Equati...Factors and Multiple...Ratios and Proportio...Using Math in Shoppi...Cooking and Measurin...Planning and Time Ma...Check Your WorkBreak Down Big Probl...Use Visuals and Draw...
Basic Concepts

Order of Operations

Solving Math Problems the Right Way

When you have more than one operation (like addition and multiplication) in a problem, you need to solve it in a special order. This is called the order of operations.

The Rules (Remember PEMDAS!)

  • Parentheses first: Do what's inside ( )
  • Exponents next (small numbers up high, like \( 2^3 \))
  • Multiplication and Division (left to right)
  • Addition and Subtraction (left to right)

Why Does Order Matter?

If you don't follow the order, you might get the wrong answer!

  • \( 2 + 3 \times 4 = 2 + 12 = 14 \)
  • If you add first: \( (2 + 3) \times 4 = 5 \times 4 = 20 \) (That's not the same!)

Real Life Examples

  • Baking recipes use order: mix dry ingredients first, then wet!
  • Calculators follow the order of operations automatically.

Examples

  • Calculate \( 6 + 2 \times 5 = 6 + 10 = 16 \).

  • Solve \( (8 - 3) + 2^2 = 5 + 4 = 9 \).

In a Nutshell

The order of operations tells us which math steps to do first so everyone gets the same answer.

Next
Solving Basic Equations