Gre math Review 1 Arithmetic


Mathematical Equations and Expressions



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Mathematical Equations and Expressions


The Math Review includes mathematical equations and expressions. In accessible electronic format (Word) editions some of the mathematical equations and expressions are presented as graphics. In cases where a mathematical equation or expression is presented as a graphic, a verbal presentation is also given and the verbal presentation comes directly after the graphic presentation. The verbal presentation is in green font to assist readers in telling the two presentation modes apart. Readers using audio alone can safely ignore the graphical presentations, and readers using visual presentations may ignore the verbal presentations.

Table of Contents


Table of Contents 4
Overview of the Math Review 5
Overview of this Chapter 5
1.1 Integers 6
1.2 Fractions 11
1.3 Exponents and Roots 16
1.4 Decimals 20
1.5 Real Numbers 24
1.6 Ratio 30
1.7 Percent 31
Arithmetic Exercises 39
Answers to Arithmetic Exercises 44


Overview of the Math Review

The Math Review consists of 4 chapters: Arithmetic, Algebra, Geometry, and Data Analysis.

Each of the 4 chapters in the Math Review will familiarize you with the mathematical skills and concepts that are important to understand in order to solve problems and reason quantitatively on the Quantitative Reasoning measure of the GRE® revised General Test.

The material in the Math Review includes many definitions, properties, and examples, as well as a set of exercises with answers at the end of each chapter. Note, however, that this review is not intended to be all inclusive. There may be some concepts on the test that are not explicitly presented in this review. If any topics in this review seem especially unfamiliar or are covered too briefly, we encourage you to consult appropriate mathematics texts for a more detailed treatment.



Overview of this Chapter

This is the Arithmetic Chapter of the Math Review.


The review of arithmetic begins with integers, fractions, and decimals and progresses to real numbers. The basic arithmetic operations of addition, subtraction, multiplication, and division are discussed, along with exponents and roots. The chapter ends with the concepts of ratio and percent.

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