TACHS Math

Comprehensive study of tachs math covering fundamental concepts and advanced applications.
Numbers and OperationsAlgebraic ThinkingGeometry Basics
Word Problems and Logical ReasoningData, Statistics, and ProbabilityAdvanced Geometry and Measurement
Math in Everyday LifeMath in Games and SportsMath for Planning and Projects
Time Management and PacingProcess of EliminationDouble-Checking Your Work
Numbers and Operatio...Algebraic ThinkingGeometry BasicsWord Problems and Lo...Data, Statistics, an...Advanced Geometry an...Math in Everyday Lif...Math in Games and Sp...Math for Planning an...Time Management and ...Process of Eliminati...Double-Checking Your...
Basic Concepts

Numbers and Operations

Understanding Numbers

Math starts with numbers! You’ll work with different types, like whole numbers, integers, fractions, and decimals. Each type has its own rules and quirks, but they all help you solve everyday problems.

Arithmetic Operations

The four basic operations—addition, subtraction, multiplication, and division—are the building blocks of math. Mastering these means you can handle just about any number you meet!

  • Addition (\(+\)): Combining values.
  • Subtraction (\(-\)): Finding the difference.
  • Multiplication (\(\times\)): Groups of numbers.
  • Division (\(\div\)): Sharing evenly.

Tips for Success

  • Always line up decimals when adding or subtracting decimals.
  • Remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction (PEMDAS).

Why It Matters

Numbers and operations are everywhere—shopping, cooking, budgeting, and more. They help you make sense of the world and make smart choices.

Examples

  • Adding fractions to double a recipe for cookies.

  • Subtracting prices to find out how much change you’ll get at the store.

In a Nutshell

Learn the different types of numbers and how to use basic operations with them.

Key Terms

Integer
A whole number that can be positive, negative, or zero.
Fraction
A number that represents part of a whole.
Decimal
A number with a point (.) that shows values less than one.
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Algebraic Thinking