BT
Verified Author
Bhanzu Team
Content Creator and Editor
Bhanzu’s editorial team, known as Team Bhanzu, is made up of experienced educators, curriculum experts, content strategists, and fact-checkers dedicated to making math simple and engaging for learners worldwide. Every article and resource is carefully researched, thoughtfully structured, and rigorously reviewed to ensure accuracy, clarity, and real-world relevance. We understand that building strong math foundations can raise questions for students and parents alike. That’s why Team Bhanzu focuses on delivering practical insights, concept-driven explanations, and trustworthy guidance-empowering learners to develop confidence, speed, and a lifelong love for mathematics.
20
Articles
1
Topics
📋Editorial Standards: All articles by Bhanzu Team are reviewed for accuracy and aligned with Bhanzu's editorial guidelines. Content is based on subject-matter expertise.
📚 Topics Covered
Articles by Bhanzu Team
(20)Algebra Classes for Kids
Math Classes for Kids
Online Math Tutor: Find The Best Math Tutoring For Your Kids
Grade 4 Math Tutor - Conquer Fractions, Long Division & Multi-Digit Operations
Grade 5 Math Tutor - Master Decimals, Advanced Fractions & Pre-Algebra Thinking
3rd Grade Math Tutor - Master Multiplication, Fractions & Complex Logic
2nd Grade Math Tutor - Master Place Value, Mental Arithmetic & Early Problem Solving
1st Grade Math Tutor - Build Deep Number Sense & Arithmetic Mastery
Kindergarten Math Tutor - Build Strong Math Foundations for Your Child
Prove That Root 3 Is Irrational — Full Proof
To prove that root 3 is irrational, assume the opposite — that $\sqrt{3} = \tfrac{p}{q}$ for coprime integers — then show 3 must divide both $p$ and $q$, contradicting "coprime." This article gives the full proof by contradiction step by step, the key divisibility lemma it rests on, a long-division check, worked examples, and the mistakes that quietly break the argument.
Log Base 2 — Binary Logarithm, Values & Examples
Log base 2 of a number is the power to which 2 must be raised to produce that number — so $\log_2 8 = 3$ because $2^3 = 8$. This article covers what log base 2 (the binary logarithm) means, how to compute it by hand and with the change-of-base formula, a value table, its properties, where it powers computer science, and the slips to avoid.
Exponents — Definition, Laws, and Examples
An exponent tells you how many times to multiply a number, the base, by itself — so $2^5$ means $2 \times 2 \times 2 \times 2 \times 2 = 32$. This article covers what an exponent is, the parts of a power, the seven laws of exponents at a glance, negative, fractional, zero, and decimal exponents, where exponents show up in the real world, and the slips that cost marks.
Radicand — Definition, Symbol, and Examples
The radicand is the number or expression sitting under a radical (root) sign — in $\sqrt{49}$, the radicand is 49. This article covers the radicand's definition, the three parts of a radical, how the radicand differs from the radical, what kinds of values a radicand can hold, and the slips students make.
Rational Root Theorem - Steps, Proof, and Examples
The rational root theorem says that any rational root of a polynomial with integer coefficients has the form $\pm\tfrac{p}{q}$, where $p$ divides the constant term and $q$ divides the leading coefficient. This article shows how to list every candidate, test them efficiently, the proof, six worked examples, and the theorem's honest limits.
Simplifying Rational Expressions - Steps and Examples
Simplifying rational expressions means factoring the numerator and denominator, canceling the factors they share, and stating the restrictions that keep the denominator from being zero. This article gives the three-step method, six worked examples, the cancel-only-factors rule, and why the restrictions must come from the original expression.
Inequalities - Symbols, Solving, and Graphing Guide
An inequality is a statement that compares two expressions with $<$, $>$, $\leq$, or $\geq$, and unlike an equation it has a range of solutions, not one. This article covers the four symbols and types, how to solve and graph inequalities on a number line, the flip-the-sign-on-negatives rule, interval notation, and the mistakes that lose marks.
Literal Equations - Definition, Steps, and Examples
A literal equation is an equation with two or more variables — usually a formula — that you rearrange to isolate one chosen variable. This article shows the inverse-operation method, six worked examples (from $A = lw$ to multi-fraction formulas), how to factor when the target appears twice, restrictions, and the mistakes that flip a formula.
Two-Step Equations - Steps, Rules, and Examples
A two-step equation is a linear equation of the form $ax + b = c$ that takes exactly two inverse operations to solve: undo the addition or subtraction first, then undo the multiplication or division. This article gives the method, six worked examples (integers, fractions, decimals, negatives, and a word problem), the order rule, and the mistakes that cost marks.
Expression, Term, Factor, Coefficient — Definitions, Examples
Every algebraic expression is built from terms (parts joined by + or −), factors (parts multiplied inside a term), and coefficients (the number multiplying the variable). This article defines all four, shows exactly how to spot each one, covers like versus unlike terms, and works through examples that take an expression apart piece by piece.
Difference Between Permutation and Combination
Permutation vs Combination is whether order matters: a permutation counts arrangements (order matters), while a combination counts selections (order doesn't). This article covers both definitions, the $nPr$ and $nCr$ formulas derived from scratch, the relationship between them, and how to tell which one a problem needs.