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Math & Education Guides

Master mathematical concepts with our step-by-step guides. From understanding standard deviation to solving quadratic equations, each article breaks down the formulas into clear, manageable steps with worked examples. Whether you are a student preparing for exams or a professional brushing up on fundamentals, our guides and free calculators make learning math straightforward.

Our math content covers algebra, geometry, statistics, number theory, number systems, and applied science topics. Every guide includes at least three worked examples so you can see the concepts in action before trying them yourself.

All Math & Science Articles (25)

How to Calculate Standard Deviation: Step-by-Step

Master standard deviation calculation with a clear step-by-step method, understand population vs sample formulas, and see practical real data examples.

Math 13 min read February 23, 2026

Understanding Percentages: Practical Applications

Master percentage calculations for discounts, tips, grades, and growth rates with clear formulas, step-by-step examples, and common conversion shortcuts.

Math 11 min read February 23, 2026

How to Solve Quadratic Equations

Learn three methods to solve quadratic equations including the quadratic formula, factoring, and completing the square with worked examples for each approach.

Math 13 min read February 23, 2026

The Golden Ratio in Nature, Art, and Design

Discover the golden ratio and its appearances in nature, architecture, art, and modern design with mathematical proofs and visual examples explained clearly.

Math 14 min read February 23, 2026

How to Calculate Area and Volume of Common Shapes

Calculate area and volume for circles, rectangles, triangles, spheres, cylinders, and cones with formulas, diagrams, and practical measurement applications.

Math 14 min read February 23, 2026

Understanding Probability and Statistics Basics

Learn probability fundamentals including independent events, conditional probability, and Bayes theorem with intuitive examples and statistical applications.

Math 15 min read February 23, 2026

How the Pythagorean Theorem Works (With Real Examples)

Understand the Pythagorean theorem with geometric proofs, construction applications, and step-by-step examples for finding missing sides of right triangles.

Math 12 min read February 23, 2026

Binary, Hexadecimal, and Number Systems Explained

Master binary, octal, decimal, and hexadecimal number systems with conversion methods, computing applications, and step-by-step base conversion guides.

Math 13 min read February 23, 2026

How to Calculate GPA: A Complete Guide for Students

Calculate your GPA using weighted and unweighted methods with letter grade conversions, cumulative GPA formulas, and strategies to improve your standing.

Math 12 min read February 23, 2026

Understanding Logarithms and Exponents

Learn how logarithms and exponents work together with properties, laws, change of base formula, and real-world applications in science, finance, and computing.

Math 13 min read February 23, 2026

How to Calculate Slope and Distance Between Points

Calculate slope and distance between two points on a coordinate plane using rise-over-run and the distance formula with graphing examples and real uses.

Math 11 min read February 23, 2026

Prime Numbers and Factorization Explained

Discover how prime numbers work, methods for primality testing, prime factorization techniques, and the fundamental theorem of arithmetic with examples.

Math 12 min read February 23, 2026

Understanding Confidence Intervals and Margin of Error

Master confidence interval calculations with clear explanations of margin of error, confidence levels, and how sample size affects statistical precision.

Math 14 min read February 23, 2026

How to Calculate Sample Size for Surveys

Calculate the right sample size for your survey using confidence level, margin of error, and population size with practical guidelines for research design.

Math 12 min read February 23, 2026

Matrix Operations: A Practical Guide

Learn essential matrix operations including addition, multiplication, transposition, determinants, and inverse matrices with step-by-step worked examples.

Math 14 min read February 23, 2026

Understanding Ohm's Law and Electrical Circuits

Master Ohm's Law relating voltage, current, and resistance with circuit diagrams, practical calculations, and real-world electrical engineering applications.

Math 11 min read February 23, 2026

How Radioactive Half-Life Works

Understand radioactive half-life with the exponential decay formula, decay constant calculations, and uses in carbon dating, medicine, and nuclear science.

Math 13 min read February 23, 2026

Molarity and Solution Concentration Explained

Learn how to calculate molarity, dilution concentrations, and solution preparation with step-by-step chemistry examples for students and lab professionals.

Math 11 min read February 23, 2026

How to Use Scientific Notation

Master scientific notation for very large and very small numbers with conversion rules, arithmetic operations, and real-world science and engineering uses.

Math 10 min read February 23, 2026

Understanding P-Values in Statistics

Understand what p-values really mean in hypothesis testing, how to interpret statistical significance, and common misconceptions that lead to wrong conclusions.

Math 13 min read February 23, 2026

How to Calculate Permutations and Combinations

Learn the difference between permutations and combinations with factorial formulas, tree diagrams, and counting problems from lottery odds to team picks.

Math 12 min read February 23, 2026

Roman Numerals: History and Conversion Guide

Learn the Roman numeral system with conversion rules, subtractive notation, historical context, and a quick reference table from I to MMMCMXCIX and beyond.

Math 11 min read February 23, 2026

How to Calculate Weighted Grades

Calculate weighted grades and final exam scores using category weights with step-by-step examples for high school and college grading systems and scales.

Math 11 min read February 23, 2026

Understanding the Physics of Horsepower

Understand how horsepower is measured and calculated from torque and RPM with comparisons between brake, wheel, and metric horsepower for engine types.

Math 12 min read February 23, 2026

Z-Scores Explained: How to Standardize Data

Master z-score calculations to standardize data, compare values across distributions, and interpret position within a normal distribution with examples.

Math 12 min read February 23, 2026

Frequently Asked Questions

Our math guides span algebra, geometry, statistics, number theory, and applied science. Topics include standard deviation, the Pythagorean theorem, probability, matrix operations, number systems, GPA calculations, and physics concepts like Ohm's law and half-life. Each guide provides step-by-step solutions you can follow.

Yes, our guides are written with students in mind. We break down complex concepts into clear, step-by-step explanations with worked examples. Whether you are in high school, college, or studying independently, our guides and free calculators help you understand and practice mathematical concepts.

Every math guide includes multiple worked examples with step-by-step solutions. We show each step of the calculation process so you can follow along and understand how to apply the formulas to your own problems.

Yes, all math and education guides on CalculatorGlobe are completely free with no signup required. We pair every guide with a free calculator so you can practice and verify your work.

Browse by topic area or use our search bar to find specific concepts. If you are working on homework, look for the guide that matches your problem type. For test preparation, our statistics and algebra guides cover the most commonly tested topics.

Disclaimer: This calculator is for informational and educational purposes only. Results are estimates and may not reflect exact values.

Last updated: February 23, 2026