Random Numbers Explained: Fair Picks, Dice and Lotteries
What makes numbers random, how to pick fair random numbers in a range, and how probability explains dice rolls and lottery odds.
Author: <span>math_person</span>
How to Graph a Quadratic Function (Parabola) Step by Step
Graph y = ax² + bx + c by finding the vertex, axis of symmetry, intercepts and direction, with worked examples and an online quadratic grapher.
Vectors Explained: Magnitude, Dot Product and Cross Product
Learn what vectors are, how to find magnitude, the dot product and the angle between vectors, and how the 3D cross product works.
Taylor Series Explained: Approximating Functions with Polynomials
What Taylor and Maclaurin series are, how to build them from derivatives, and why sin x ≈ x − x³/6 + x⁵/120 near zero. Clear examples.
Speed, Distance and Time: The Formula Triangle Explained
Use speed = distance ÷ time to find any of the three, convert units, work with hours and minutes, and read distance–time graphs.
How to Solve Linear Inequalities (and When to Flip the Sign)
Solve linear inequalities step by step, learn the one rule that flips the sign, and show answers on a number line and in interval notation.
Scientific Notation (Standard Form) Explained
Write very large and very small numbers in scientific notation, convert back, and multiply and divide numbers in standard form.
Rounding and Significant Figures: Rules and Examples
How to round to decimal places, significant figures and the nearest 10, 100 or 1000, plus the rules for counting significant figures.
Roman Numerals Explained: How to Read and Write Them
Learn the seven Roman numeral symbols, the subtraction rule, and how to convert years like 2026 and 1994 to and from Roman numerals.
Riemann Sums Explained: Left, Right, Midpoint and Trapezoid
How Riemann sums approximate the area under a curve with rectangles, how left, right, midpoint and trapezoid rules compare, and why they lead to integrals.