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159 Articles
Math & Science
Articles filed under Math & Science.
Showing 106–126 of 159 articles
🌍 Math & Science
How to Estimate Earth Electrode Resistance
Estimate driven rod earth resistance from soil resistivity and geometry, and see why rod length beats rod diameter by a wide margin.
🌾 Math & Science
How to Estimate How Much Water a Crop Needs
Calculate crop water requirement from reference evapotranspiration and a stage-specific crop coefficient, then adjust for irrigation system efficiency.
🔢 Math & Science
How to Find the GCF and LCM of Two Numbers
Calculate the greatest common factor and least common multiple of two or more numbers, with prime factorizations shown, for homework or real problems.
⭕ Math & Science
How to Read Sine and Cosine Off the Unit Circle
Use the unit circle to get exact trig values for any angle, using reference angles and quadrant signs instead of memorising a full table.
🎲 Math & Science
How to Run a Monte Carlo Simulation
Model uncertain inputs as ranges rather than single guesses, run thousands of trials, and read percentiles instead of an average that hides the risk.
🚪 Math & Science
How to Settle the Monty Hall Argument
Run the Monty Hall problem thousands of times to see switching win two-thirds of the time, and use the ten-door version to make the intuition obvious.
√ Math & Science
How to Simplify a Square Root Into Exact Form
Simplify radicals like the square root of 72 into exact form, understand the perfect-square factoring method, and check your homework answers step by step.
➗ Math & Science
How to Simplify an Algebraic Expression
Expand brackets and collect like terms step by step, and fix the sign error that accounts for most wrong answers in school algebra.
🔥 Math & Science
How to Size a Heat Sink for a Component
Work out the heat sink thermal resistance a part needs, including the junction-to-case and interface terms that get left out of the budget.
💠 Math & Science
How to Tell if a Salt Dissolves in Water
Use the standard solubility rules to predict whether a precipitate forms, with the exceptions that actually determine the answer in most exam questions.
🚶 Math & Science
How to Understand a Random Walk
See why a random walk's distance from the start grows with the square root of the number of steps, and where the model applies and where it doesn't.
🔉 Math & Science
How to Work Out the Speed of Sound
Calculate the speed of sound from air temperature, compare it with water and steel, and get travel time for a distance without assuming a fixed 340 m/s.
🧮 Math & Science
How to Calculate Combined Probability
Use a probability calculator to find chances for A and B, A or B, and at least once across repeated independent tries.
🧮 Math & Science
How to Calculate Logarithms
Use a logarithm calculator for any base, antilogarithms, change-of-base working, and visible floating-point rounding notes.
🔢 Math & Science
How to Check if a Number Is Prime
Check whether a number is prime, see its smallest factor if not, and list the five nearest primes below and above it, instantly in your browser.
🧮 Math & Science
How to Convert a Fraction to an Exact Decimal
Use a fraction to decimal converter to show terminating and repeating decimals with long division steps instead of rounded guesses.
∫ Math & Science
How to Estimate a Definite Integral Numerically
Type a function of x and a lower and upper bound to get a numerically estimated definite integral, computed instantly with Simpson's rule in your browser.
📈 Math & Science
How to Find Outliers in a Data Set
Use an outlier detector to compare IQR fences, z-score, and modified z-score methods so unusual values are easier to explain.
🧮 Math & Science
How to Find Slope From Two Points
Use a slope calculator to find slope, y-intercept, line equation, angle, distance, and midpoint from two coordinate points.
📍 Math & Science
How to Find the Midpoint Between Two Coordinates
Calculate the midpoint between two coordinate points, along with the straight-line distance between them, with the formulas shown, for geometry or mapping work.
📐 Math & Science
How to Find the Volume of a Cube, Sphere, or Cylinder
Calculate the volume of a cube, box, sphere, cylinder, cone, or square pyramid from its dimensions, with the formula used shown alongside the result.