How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How 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 guideHow to Perform Complex Number Operations by Hand: Step-by-Step Guide
Learn to manually add, subtract, multiply, divide, and find the modulus of complex numbers. Understand formulas with examples and avoid common pitfalls.
Read guideHow to Calculate Decimal Rounding: Step-by-Step Guide
Learn to manually round decimals step-by-step! Understand place values, rounding rules, and common pitfalls. Master this essential math skill.
Read guideHow to Calculate the Greatest Integer Function (Floor Function): Step-by-Step Guide
Learn to manually calculate the greatest integer function (floor function) ⌊x⌋. Find the largest integer less than or equal to any real number x.
Read guideHow to Calculate the Reciprocal: Step-by-Step Guide
Learn to calculate the reciprocal (multiplicative inverse) of any number or fraction by hand with our easy-to-follow guide.
Read guideHow to Convert Numbers Between Bases: Step-by-Step Guide
Learn to manually convert numbers between binary, octal, decimal, hexadecimal, and other bases. Master the formulas with examples and avoid common mistakes.
Read guideHow to Calculate the Nth Root: Step-by-Step Guide
Learn to calculate any Nth root by hand using approximation! Understand the formula, follow a step-by-step example, avoid common mistakes, and know when to use a calculator.
Read guideHow to Convert Numbers to and from Scientific Notation: Step-by-Step Guide
Learn to manually convert numbers to and from scientific notation with easy steps, formulas, and examples. Master large and small numbers!
Read guideHow to Calculate Modulo (Remainder After Division): Step-by-Step Guide
Learn to calculate the modulo operation by hand! This guide explains the formula, provides a worked example, and highlights common pitfalls.
Read guideHow to Calculate Cube Roots: Step-by-Step Guide
Learn to calculate cube roots by hand, from perfect cubes to approximations. Understand the formula, follow a worked example, and avoid common pitfalls!
Read guideHow to Calculate Speed, Distance, or Time: Your Step-by-Step Guide
Learn to calculate speed, distance, or time manually using the d = s × t formula. Includes examples, unit conversion tips, and common pitfalls.
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