Arithmetic
Learn Arithmetic for Free
Arithmetic is the foundation of all mathematics. It covers the basic operations with numbers that we use every day—addition, subtraction, multiplication and division. These skills support later topics such as algebra, geometry, statistics and real‑life problem solving.
This page introduces the key areas of arithmetic and links to free, accessible resources including games, worksheets and practice pages.
Start Learning Arithmetic
Introduction to Arithmetic
A simple overview of what arithmetic is, why it matters, and where we use it in daily life.
Understanding Numbers
Covers natural numbers, whole numbers, integers, rational numbers, place value and using the number line.
Basic Operations
Explains addition, subtraction, multiplication and division with clear examples.
Fractions and Decimals
Introduces fractions, decimals and how to convert between them, including basic operations.
Intermediate Arithmetic
Exponents and Roots
Explains powers, square roots and higher‑order roots with practical examples.
Percentages
Covers calculating percentages and converting between fractions, decimals and percentages.
Ratios and Proportions
Introduces ratios, comparisons and solving simple proportion problems.
Working with Fractions and Decimals
Covers simplifying fractions, mixed numbers, precision, rounding and real‑life applications.
Negative Numbers
Explains how negative numbers work and how to perform the four operations with them.
Advanced Arithmetic
Complex Fractions and Decimals
Covers operations with more complicated fractions and decimals, including scientific notation.
Advanced Exponents and Roots
Introduces exponential growth and decay, and their everyday applications.
Logarithms (Intro)
A light introduction to logarithms and their basic properties.
Arithmetic in Problem Solving
Shows strategies for tackling real‑world and multi‑step word problems.
Arithmetic Resources
Arithmetic Games
Interactive and classroom‑friendly games to help practise core arithmetic skills.
Arithmetic Worksheets
Downloadable PDFs, editable worksheets and worksheet generators.
Optional Next Steps
You can explore these once you’re confident with the fundamentals:
- Practical Applications of Arithmetic – Finance, engineering and everyday scenarios.
- Arithmetic in Careers – How different professions use numerical reasoning.
- Practice & Challenges – Mixed problems and puzzles to deepen understanding.