How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How to Calculate Unit Rate: Step-by-Step Guide
Learn to calculate unit rate by hand. Understand the formula, worked examples, and common pitfalls. Compare prices smarter!
Read guideHow to Calculate Ratios: Step-by-Step Guide
Learn to manually calculate financial and operational ratios with a simple formula. Understand common ratios, a worked example, and pitfalls.
Read guideHow to Calculate Expanded Form: Step-by-Step Guide
Learn to write numbers in expanded form by hand! Understand place values, use the formula, and see a worked example. Perfect for students and everyday use.
Read guideHow to Calculate Place Value: Step-by-Step Guide
Learn to identify the place value of each digit in any number, from ones to hundredths. Our guide provides clear steps, examples, and common pitfalls.
Read guideHow to Round to Significant Figures: Step-by-Step Guide
Learn to round any number to a specified number of significant figures. Master the rules, follow a step-by-step example, and avoid common rounding mistakes.
Read guideHow to Convert Numbers to and from Scientific Notation: Step-by-Step Guide
Learn to manually convert numbers to and from scientific notation (a x 10^b). Understand the formula, work through examples, and avoid common errors.
Read guideHow to Calculate Modulo (Remainder): Step-by-Step Guide
Learn to calculate modulo (remainder after division) by hand! This guide provides the formula, step-by-step instructions, and a worked example.
Read guideHow to Calculate Factors and Factor Pairs: Step-by-Step Guide
Learn to manually find all factors and factor pairs of any positive integer with this step-by-step guide and worked example.
Read guideHow to Calculate 2x2 Matrices by Hand: A Step-by-Step Guide
Learn 2x2 matrix addition, multiplication, determinant, and transpose by hand with formulas, examples, and common pitfalls. Master matrix math!
Read guideHow to Calculate Exponents: Step-by-Step Guide
Master exponent calculations by hand! Learn to tackle positive, negative, and fractional powers with easy-to-follow steps and examples.
Read guideHow to Calculate Logarithms by Hand: Your Step-by-Step Guide
Learn to calculate logarithms by hand, including common, natural, and custom bases using the change-of-base formula. Understand the math!
Read guideHow to Convert Between Binary, Decimal, Hexadecimal, and Octal: Step-by-Step Guide
Learn to manually convert between binary, decimal, hexadecimal, and octal number systems with formulas, worked examples, and common pitfalls.
Read guideHow to Manually Check for Prime Numbers: A Step-by-Step Guide
Learn to manually check if any integer is prime using trial division up to its square root. Understand the method, see an example, and avoid common errors.
Read guideHow to Calculate Prime Factorization: Step-by-Step Guide
Learn to break down any number into its prime factors by hand using simple steps. Understand the formula, worked examples, and common pitfalls.
Read guideHow to Calculate Long Multiplication: Step-by-Step Guide
Learn long multiplication step-by-step! Master multiplying large numbers by hand with our clear guide, worked examples, and tips to avoid common mistakes.
Read guideHow to Calculate Long Division: Step-by-Step Guide
Learn long division with remainders step-by-step! Master the manual process with examples, formulas, and common pitfalls to avoid.
Read guideHow to Round Numbers: Step-by-Step Guide
Learn to round numbers by hand to any decimal place or whole number. Understand the rules, see examples, and avoid common mistakes.
Read guideHow to Calculate Percentages: Step-by-Step Guide
Learn to calculate percentages, increases, and decreases by hand with our easy step-by-step guide. Includes formulas, examples, and common pitfalls.
Read guideHow to Perform Basic Arithmetic: Step-by-Step Guide
Learn to perform addition, subtraction, multiplication, and division by hand with formulas, examples, and common pitfalls.
Read guideHow to Master General Math: Core Arithmetic & Number Operations
Learn core math operations like addition, subtraction, rounding, factors, primes, and sequences with step-by-step guides and examples. Master essential math skills!
Read guideHow to Calculate Continued Fractions by Hand: Step-by-Step Guide
Learn to manually expand real numbers or fractions into continued fractions, understand the process, and calculate convergents. Perfect for students!
Read guideHow to Calculate Egyptian Fractions: Step-by-Step Guide
Learn to convert any fraction into a sum of unique unit fractions (Egyptian fractions) using the Greedy Algorithm. Step-by-step guide with examples.
Read guideHow to Solve Fraction Word Problems: Step-by-Step Guide
Learn to solve fraction word problems by hand! This guide provides a step-by-step method, formulas, a worked example, and common pitfalls to avoid. Master fractions!
Read guideHow to Decompose Fractions into Unit Fractions (Egyptian Method)
Learn to decompose any fraction into a sum of unique unit fractions using the greedy Egyptian method. Step-by-step guide with examples and common pitfalls.
Read guideHow to Convert Improper Fractions to Mixed Numbers: Step-by-Step Guide
Learn to convert improper fractions to mixed numbers by hand! Master the formula, see a worked example, and avoid common pitfalls.
Read guideHow to Calculate the Golden Ratio: Step-by-Step Guide
Learn to calculate the Golden Ratio manually! Divide any length into precise Golden Ratio segments (φ ≈ 1.618) with our easy guide.
Read guideHow to Convert Mixed Numbers to Improper Fractions: Step-by-Step Guide
Learn to convert mixed numbers to improper fractions by hand! Follow our easy step-by-step guide with examples, formulas, and common pitfalls.
Read guideHow to Compare Fractions: Step-by-Step Guide
Learn to compare two or more fractions by hand using the Least Common Denominator (LCD) method. Simple steps, examples, and common pitfalls.
Read guideHow to Order Fractions: Step-by-Step Guide
Learn to order any set of fractions by hand from least to greatest or greatest to least using common denominators. Includes examples & pitfalls.
Read guideHow to Calculate Equivalent Fractions: Step-by-Step Guide
Learn to find equivalent fractions by hand! This guide explains the formula, provides examples, and helps you avoid common mistakes.
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