How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How to Calculate Speed, Distance, or Time: Step-by-Step Guide
Solve speed, distance, or time problems manually
Read guideHow to Calculate Unit Rate: Step-by-Step Guide
Calculate Unit Rate manually
Read guideHow to Calculate a Ratio: Step-by-Step Guide
Learn to calculate ratios manually
Read guideHow to Write Numbers in Expanded Form: Step-by-Step Guide
Learn to write numbers in expanded form manually
Read guideHow to Calculate Place Value: Step-by-Step Guide
Learn to identify place values in numbers manually
Read guideHow to Round Numbers to Significant Figures: Step-by-Step Guide
Rounding numbers to significant figures manually
Read guideHow to Convert to and From Scientific Notation: Step-by-Step Guide
Learn to manually convert numbers to and from scientific notation. This guide covers the formula, step-by-step solutions, worked examples, and common pitfalls.
Read guideHow to Calculate Modulo (Remainder): Step-by-Step Guide
Learn to calculate modulo (remainder) by hand using the division algorithm. Understand the formula, follow a worked example, and avoid common pitfalls.
Read guideHow to Calculate Factors: Step-by-Step Guide
Learn to manually find all factors and factor pairs of any positive integer. Understand the formula, worked examples, and common pitfalls.
Read guideHow to Perform 2x2 Matrix Operations Manually: A Step-by-Step Guide
Learn to manually calculate 2x2 matrix addition, multiplication, determinant, and transpose with formulas, examples, and common pitfalls.
Read guideHow to Calculate Exponents: Step-by-Step Guide
Learn to manually calculate exponents, including positive, negative, and fractional powers. Understand the formulas with a worked example and common pitfalls.
Read guideHow to Calculate Logarithms: Step-by-Step Guide
Learn to calculate logarithms by hand, including common (base 10), natural (base e), and custom bases. Understand the formulas, worked examples, and common pitfalls.
Read guideHow to Convert Between Binary, Decimal, Hexadecimal, and Octal: Step-by-Step Guide
Learn to manually convert numbers between binary, decimal, hexadecimal, and octal systems. Master formulas, worked examples, and common pitfalls.
Read guideHow to Manually Check for Prime Numbers: A Step-by-Step Guide
Learn to manually check if an integer is prime using divisibility rules and the square root method. Understand prime numbers, common pitfalls, and when to use a calculator.
Read guideHow to Calculate Prime Factorization: Step-by-Step Guide
Learn to manually break down any composite number into its prime factors. This guide covers the step-by-step method, examples, common pitfalls, and when to use a calculator.
Read guideHow to Perform Long Multiplication: Step-by-Step Guide
Learn to perform long multiplication manually with this comprehensive guide. Understand partial products, carrying, and achieve accurate results for any two large numbers.
Read guideHow to Calculate Long Division: Step-by-Step Guide
Master manual long division with remainders. This guide provides a step-by-step formula, a worked example, common pitfalls, and when to use a calculator.
Read guideHow to Round Numbers Manually: Step-by-Step Guide
Learn to round numbers to any decimal place by hand. Understand the rules, formulas, and common pitfalls. Use our calculator for quick results.
Read guideHow to Calculate Percentage: A Step-by-Step Guide for Manual Calculation
Learn to calculate percentages, including increases and decreases, by hand. Master the formulas with step-by-step examples and avoid common pitfalls.
Read guideHow to Perform Basic Arithmetic Operations: Step-by-Step Guide
Learn to perform basic arithmetic operations (addition, subtraction, multiplication, division) by hand. Includes formulas, examples, and common pitfalls.
Read guideHow to Calculate General Math Operations: Step-by-Step Guide
Master core math operations: addition, subtraction, rounding, factors, primes, and sequences. Learn manual calculations with formulas, examples, and common pitfalls.
Read guideHow to Calculate Continued Fractions Manually: A Step-by-Step Guide
Learn to manually calculate continued fractions for any real number or fraction. Understand the algorithm, work through an example, and avoid common pitfalls.
Read guideHow to Convert Fractions to Egyptian Fractions: Step-by-Step Guide
Learn to manually convert any fraction into its Egyptian fraction representation using the Greedy Algorithm. Includes formula, example, and common pitfalls.
Read guideHow to Solve Fraction Word Problems: Step-by-Step Guide
Master fraction word problems step-by-step. Learn to identify operations, convert fractions, apply formulas, and simplify answers manually with a worked example. Avoid common pitfalls.
Read guideHow to Order Fractions: Step-by-Step Guide
Learn to manually order any set of fractions from least to greatest or greatest to least by finding a common denominator. Includes examples and common pitfalls.
Read guideHow to Calculate the Lowest Common Denominator (LCD): Step-by-Step Guide
Learn to manually calculate the Lowest Common Denominator (LCD) for fractions using prime factorization. Includes examples, pitfalls, and calculator use.
Read guideHow to Decompose Fractions into Unit Fractions (Egyptian Method): Step-by-Step Guide
Learn to manually decompose any fraction into a sum of unit fractions using the greedy Egyptian method. Includes formula, example, and pitfalls.
Read guideHow to Convert Improper Fractions to Mixed Numbers: Step-by-Step Guide
Learn to convert improper fractions to mixed numbers manually. Our guide covers the formula, step-by-step division, a worked example, and common pitfalls to ensure mastery.
Read guideHow to Calculate the Golden Ratio: Step-by-Step Guide
Learn to calculate the Golden Ratio manually. Divide any total length into two segments (a and b) that adhere to the precise φ ≈ 1.618 proportion.
Read guideHow to Convert Mixed Numbers to Improper Fractions: Step-by-Step Guide
Learn to manually convert mixed numbers to improper fractions with this comprehensive guide. Understand the formula, follow a worked example, and avoid common pitfalls.
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