How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How to Check for a Perfect Cube and Find its Cube Root: Step-by-Step Guide
Learn to manually check if a number is a perfect cube and find its cube root. Master the formula with a simple, step-by-step example.
Read guideHow to Check for a Perfect Square and Find Its Square Root: Step-by-Step Guide
Learn to manually check if a number is a perfect square and find its root using estimation and prime factorization. Understand the 'why' behind the calculation.
Read guideHow to Calculate Parabola Features: Focus, Directrix, and Latus Rectum
Learn to manually find a parabola's focus, directrix, and latus rectum from its equation. Step-by-step guide with formulas and examples.
Read guideHow to Calculate the Matrix Inverse: Step-by-Step Guide
Learn to calculate the inverse of 2x2 and 3x3 matrices by hand. Follow our step-by-step guide with formulas, examples, and common pitfalls.
Read guideHow to Calculate Hyperbola Properties: Step-by-Step Guide
Calculate hyperbola properties manually
Read guideHow to Calculate Eigenvalues of a 2×2 Matrix: Step-by-Step Guide
Calculate eigenvalues manually
Read guideHow to Work with Parametric Equations: Step-by-Step Guide
Learn parametric equations manually
Read guideHow to Perform Prime Factorisation: Step-by-Step Guide
Learn prime factorisation manually
Read guideHow to Generate Fibonacci Sequence and Calculate Golden Ratio: Step-by-Step Guide
Generate Fibonacci sequence and golden ratio manually
Read guideHow to Perform Modular Arithmetic: A Step-by-Step Guide
Learn modular arithmetic with our free guide
Read guideHow to Calculate Taylor Series: Step-by-Step Guide
Approximate functions with Taylor series manually
Read guideHow to Convert Between Polar and Cartesian Coordinates: A Step-by-Step Guide
Convert polar to Cartesian coordinates manually
Read guideHow to Calculate Complex Numbers: Step-by-Step Guide
Add, subtract, multiply, divide complex numbers manually
Read guideHow to Calculate Matrix Determinant: Step-by-Step Guide
Learn to calculate matrix determinants by hand for 2x2 and 3x3 matrices using formulas and cofactor expansion. Includes examples & common pitfalls.
Read guideHow to Calculate the Vector Cross Product: Step-by-Step Guide
Learn to calculate the 3D vector cross product A×B by hand. Find the perpendicular vector with our step-by-step guide, formula, and worked example.
Read guideHow to Solve Cubic Equations Manually: A Step-by-Step Guide
Learn to manually solve cubic equations (ax³+bx²+cx+d=0) using Cardano's formula. Understand the transformation, discriminant, and roots with a detailed example.
Read guideHow to Solve Quadratics by Completing the Square: Step-by-Step Guide
Master completing the square to solve quadratic equations. Learn the formula, visualize the geometry, and work through examples by hand.
Read guideHow to Calculate Percent Error: Step-by-Step Guide
Learn to calculate percent error by hand! Understand the formula, absolute error, and relative error with a simple step-by-step guide and worked example.
Read guideHow to Calculate Percent Difference: Step-by-Step Guide
Learn to calculate percent difference between two values. Easy, step-by-step guide with formula, worked example, and common pitfalls. Master this essential comparison skill!
Read guideHow to Calculate Percent Change: Step-by-Step Guide
Learn to calculate percent change manually. Understand the formula, follow a worked example, and avoid common pitfalls with this easy guide.
Read guideHow to Multiply Binomials Using the FOIL Method: Step-by-Step Guide
Learn to multiply two binomials (a+b)(c+d) using the FOIL method. Step-by-step guide with examples, formulas, and common pitfalls.
Read guideHow to Calculate Absolute Value: Step-by-Step Guide
Learn to calculate absolute value by hand with this easy guide. Understand the formula, see worked examples, and avoid common mistakes.
Read guideHow to Calculate Logarithms by Hand: Step-by-Step Guide
Learn to calculate logarithms by hand! Understand the formula, work through examples, and master this fundamental math concept.
Read guideHow to Simplify Radicals and Roots: Step-by-Step Guide
Learn to simplify radical expressions and calculate roots by hand! Understand the formula, prime factorization, and common pitfalls with our easy guide.
Read guideHow to Calculate the Cube Root: Step-by-Step Guide
Learn to calculate cube roots by hand with our easy-to-follow guide. Includes formula, worked examples, and common pitfalls. Understand the math!
Read guideHow to Calculate the Square Root by Hand: Step-by-Step Guide
Learn to calculate square roots by hand using simple approximation. This guide covers the formula, a step-by-step example, and common pitfalls.
Read guideHow to Calculate Exponents: Step-by-Step Guide
Learn to calculate exponents by hand! This guide breaks down the formula, provides a step-by-step example, and highlights common mistakes to help you master powers.
Read guideHow to Calculate Roots Using the Quadratic Formula: Step-by-Step Guide
Learn to solve any quadratic equation ax²+bx+c=0 by hand using the quadratic formula. Step-by-step guide with examples and common pitfalls.
Read guideHow to Master Algebra Basics: Step-by-Step Guide
Learn fundamental algebra skills: solve equations, factor polynomials, and work with exponents and roots. Follow our step-by-step guide!
Read guideHow to Solve Absolute Value Equations: Step-by-Step Guide
Learn to solve absolute value equations step-by-step by hand. Master the case split method, isolate the absolute value, and verify solutions with a worked example. Avoid common pitfalls.
Read guide