# A Guide to the GRE/Integers

# Integers[edit]

Though not explicitly tested, the concepts of **integers** and **whole numbers** are important to solving GRE math problems.

### Rules[edit]

**An integer is a number without any fraction or decimal behind it.**

1, 3, -5, and 268 are integers, while 1.77 and are not.

**A whole number is a positive integer.**

1, 2, and 3 are whole numbers; .62, -8, and Template:Sqrt are not.

### Practice[edit]

Determine whether each of the following is an integer, a whole number, or both.

1. -2

2. 113.7

3.

### Comments[edit]

The GRE isn't going to ask questions such as “which of the following is an integer?” but the concept is important for solving other questions. For instance, if 1 < *x* < 5, x could have an infinite number of values, from 1.00001 to 3.0065. But if *x* is an integer, its values are now limited to 2, 3, and 4.

### Answers to Practice Questions[edit]

1. -2 is an integer – it does not end in a fraction or decimal. However, it is not a whole number. Whole numbers are positive.

2. 113.7 is not an integer because it ends in a decimal. Because it is not an integer, it is not a whole number either. Remember, whole numbers are positive integers.

3. is not an integer – it is a fraction. Integers, remember, are numbers which do not end in fractions or decimals. Because it is not an integer, it is not a whole number either, since whole numbers are positive integers.