Math Forum: Ask Dr. Math - Selected Answers to Common Questions

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Ask Dr. Math: Selected answers to common questions

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About Mathematics
Was Math Invented or Discovered?
What is Mathematics?
Mathematics and... Art / Law
Medicine / Music / Poetry

Algebra
Absolute Value
Asymptotes
Completing the Square
Diophantine Equations
Direct and Indirect Variation
Greater Than, Less Than Symbols
Inequalities and Negative Numbers
Quadratic Equations
Signs: Positive/Negative Integers
Slope, Slope-Intercept, Standard Form
Solving Simple Linear Equations
Vector Questions

Arithmetic
Casting Out Nines
Factorial Table 1!-30!
Flash Cards/Worksheets
Learning to Multiply
LCM, GCF
Long Division
Order of Operations
Number Sentences
Square Roots without a Calculator
Table of Squares & Square Roots, 1-100
Subtraction w/ Borrowing/Regrouping
What's 1+1?

Calculators and Computers
Twos Complement

Calculus
Chain Rule
Maximizing the Volume of a Box
Maximizing the Volume of a Cylinder
What is a Derivative?

Discrete Mathematics
Four Color Map Problem
How Many Handshakes?
Squares in a Checkerboard
Tournament Scheduling
Venn Diagrams

Factoring Numbers
Factor Table 1-60
Prime Factorization

Fractions, Decimals, Percentages
Adding/Subtracting Fractions
Least Common Denominator
Dividing Fractions
Comparing/Ordering Fractions
Reducing/Simplifying Fractions
Improper Fractions, Mixed Numbers

Dividing Decimals
Converting Fractions to/from Decimals
Rounding Fractions and Decimals
Fractions and Repeating Decimals

Finding a Percentage
Percentage Increase/Decrease

Functions
Composition of Functions
Domain and Range
Inverse of a Function
Piecewise Functions

Geometry
Circle Formulas
Find the Center of a Circle
Is a Circle a Polygon?
Why is a Circle 360 Degrees?
About Ellipses
Do Cones, Cylinders Have Edges?

Area of an Irregular Shape
Classifying Quadrilaterals
Polygon Diagonals
Pythagorean Theorem Proofs
Triangle Congruence
Heron's Formula
Volume of a Tank
Latitude and Longitude
What are Length and Width?

Measurement
A Million/Billion Seconds
Celsius to Fahrenheit
Meters Squared or Square Meters?
Metric Measurements
Teaspoon, Ounce, Pint, Pound
Time Zones
Unit Conversions
Using a Protractor, Reading a Ruler

Number Sense/Number Theory
About Zero
Multiplying by Zero
Classifying Numbers
DeMoivre's Theorem
Googol, Googolplex
Imaginary Numbers in Real Life
Infinite Number of Primes?
Number Facts
Roman Numerals
Sequence Strategies
Testing for Primality
What is 'Mod'?

Place Value, Exponents
Chart; Large Numbers
Negative Exponents
Rounding Numbers
Scientific Notation
Significant Figures/Digits

Probability/Statistics
Coin Flipping
Odds vs. Probability
Poker Probabilities
Rolling Dice

Bar Graph, Histogram, Pictogram
Mean, Median, Mode, Range
Statistics Glossaries
Weighted Averages

Ratio/Proportion
Mixture Problems
What is a Ratio?

Puzzles
1000 Lockers
Letter+number puzzles
Getting Across the River
Heads, Legs: How Many Animals?
A Hen and a Half
Last One at the Table
Measuring with Two Containers
Monkeys Dividing Coconuts
Remainder/Divisibility Puzzles
Weighing a Counterfeit Coin
What Color is My Hat?

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