Expert Answers
steveschoen eNotes educator| Certified Educator

It might be easier to see what Integers are if we define the initial sets of numbers.  Normally, the "first" set of numbers students work with are the "counting" numbers.  What are those?  How do we count?  "1, 2, 3, 4, 5, . . ."  So:

Counting numbers = 1, 2, 3, 4, 5, . . .

Next would be the whole numbers, which are the counting numbers and 0.  So:

Whole numbers = 0, 1, 2, 3, 4, 5, . . .

Then, we get the integers, which are the counting numbers and their opposites, and the number 0.  So:

Integers = . . ., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . . .

So, no decimals, no fractions.  You could consider it a number line, as well, where you would mark 0, 1, 2, 3, 4, 5, . . ., as well as the numbers to the left of 0, the negative numbers.  The set of integers is where the negative numbers are "most simply" introduced into the world of math.

electreto05 eNotes educator| Certified Educator

The integers, that are represented symbolically with the letter Z, are formed by the positive and negative natural numbers, including zero. The negative integers, are always lower than the positive integers and zero. The integers have no decimal part.

When an integer is written, it is necessary that it have a positive or negative sign. When the number does not have a sign, is assumed to be positive.

The integers are useful to account for losses in certain event; They are also useful to identify physical quantities having a zero reference value such as temperature, altitude, the electric charge of a body and others.

malkaam | Student

Integers are whole numbers present on the number line, they can be either negative or positive or the number can be zero.

On a number line negative numbers are on the left hand side and positive are on the right hand side, and zero is present in the middle. Fractions are not considered integers as they are not whole numbers. 

kevin0001 | Student

An integer is basically a whole number can be either positive or negative. An integer is not a number that has fractions or decimals. Examples of integers would be 0, 1, 2, 3, 4, 5, -5, -4, -3, -2, and -1. These are integers because they are whole numbers with no fraction, decimals, and square root signs.

Jyotsana | Student

Integers are the numbers on the number line (both positive and negative numbers). The positive integers are numbers greater than 0 (1,2,3,4 so on). The negative integers are less than 0 (-1,-2,-3,-4 so on). Integers do not include fractions or decimals 1/2 or 5.5 not integers. 

archanasah | Student

telling u very precisely...integers are the numbers which can b drawn on the number line.it means from negative infinity to positive infinity including zero n one thing very important is negative numbers are always lower than zero and positive numbers in value. negative numbers are on the left , 0 in the centre and positive numbers are on the right hand side of the number line.

example: -3 is smaller than 0 as well as 3 and it is also smaller than all the numbers which are lying on the right hand side of this number.

I hope u understand.

crystaltu001 | Student

An integer is a number that can either be negative or positive. For example, -10, -15, and -20 are integers and 1, 2, and 3 are also integers

mchandrea | Student

An integer is any whole number. Meaning there are no fractional parts. It could be positive or negative. Any counting number from one to infinity is an integer. For example: 1, 2, 3, 4, and so on are integers. Even negatives 0, -1, -2, -3 and so on are integers. Here is a very helpful video tutorial about integers in case you are still confused. It is also short and very easy to understand so check it out if you still have some questions. 

ik9744 | Student

An integer is an number like 1,2,3,... It can't have a decimal nor be a fraction. It can be negative.

laurto | Student

An integer is any number that is not a decimal or fraction. An integer is a whole number (including the number 0 and negative numbers). 

ex: -1000, -237, -86, -3, 0, 4, 89, 302, 1000000000) 

zumba96 | Student

An integer is a mathematical term that is a whole number, something that is not a fraction. For example an integer can be; 1,2,3,4,5, and -1,-2,-3,-4,-5. An integer also includes the number 0. If you have an integer there can be no decimals or fractions, it has to be one whole number 

rachellopez | Student

An integer is basically just a whole number which can be positive or negative, also including zero. Examples would be -10, -7, -5, -2, 0, 2, 5, ,7, and 10. As long as there are no fractions or decimals the number would be an integer.

robyn-bird96 | Student

Simply put, an integer is a whole number that can be either negative, zero, or positive.  For example, negative integers are -3, -5, -1, -1000, -1345728. Some positive integers are 1, 4, 7, 21, 221, 3485, 1948572039. Notice how there are no decimals or fractions.  Zero is also an integer. You can think about it as numbers that we can count on a number line. 

An Integer is any number that is not a decimal or a fraction that goes into the negatives as well.