Updated for the revised GRE, the Number Properties Guide provides a comprehensive analysis of the properties and rules of integers tested on the GRE to help you learn, practice, and master everything from prime products to perfect squares.
Each chapter builds comprehensive content understanding by providing rules, strategies and in-depth examples of how the GRE tests a given topic and how you can respond accurately and quickly. The Guide contains both “Check Your Skills” questions in the chapters that test your understanding as you go and “In-Action” problems of increasing difficulty, all with detailed answer explanations.
Purchase of this book includes one year of access to 6 of Manhattan GRE’s online practice exams.
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Chapter by Chapter
1. INTRODUCTION & THE REVISED GRE
Introduction, How to Use Manhattan GRE's Strategy Guides, The Revised GRE, Question Formats in Detail
2. DIVISIBILITY & PRIMES
Divisibility Rules, Factors, Prime Numbers, Prime Factorization, The Factor Foundation Rule, The Factor/Prime Factorization Connection, Unknown Numbers and Divisibility, Few Factors, More Multiples, Divisibility and Addition/Subtraction, Remainders
3. ODDS & EVENS
Arithmetic Rules of Odds & Evens, The Sum of Two Primes, Testing Odd & Even Cases
4. POSITIVES & NEGATIVES
Absolute Value: Absolutely Positive, A Double Negative = A Positive, Multiplying & Dividing Signed Numbers, Testing Positive & Negative Cases
5. EXPONENTS
Wow, That Increased Exponentially!, All About the Base, All About the Exponent, Combining Exponential Terms, Rewriting Bases, Simplifying Exponential Expressions, Rules of Exponents, Common Exponent Rules
6. ROOTS
Basic Properties of Roots, Multiplication and Division of Roots, Simplifying Roots, Solving Algebraic Equations Involving Exponential Terms
7. CONSECUTIVE INTEGERS
Evenly Spaced Sets, Properties of Evenly Spaced Sets, Counting Integers: Add One Before You Are Done
8. NUMBER LINES
Relative Position & Relative Distance, Line Segments
9. DRILL SETS
10. PRACTICE QUESTION SETS
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