What do integers look like

They fall into exactly one of these categories. The real numbers include all of the other numbers in the diagram. For example, every integer is a real number. All of the rational numbers are also real, and in fact each integer is rational. Over time, you will see more examples of all the types of numbers.

This diagram will become easier to remember as a result. Integers have some really cool properties, like the reflexive , symmetric , and transitive properties. Check them out! This video by Learn Math Tutorials goes over the first three types, or sets, of numbers: natural numbers , whole numbers , and integers.

The integers are the numbers we can write without a fractional part. We use the symbol Z to refer to them. If we were to make a number line to represent the integers, it would look like:. The number line has 0 in the middle and it spans out to the right and left. Integers are numbers that can be obtained by adding a finite number of 1s or subtracting a finite number of 1s.

From this definition, both 0 and 1 must be integers. Take 3 for example. Pre-Algebra Integers. Negative integers are not whole numbers. Whole numbers are all counting numbers and 0.

A set of integers that are not whole numbers looks like this:. Integers are positive whole numbers and their additive inverse, any non-negative whole number, and the number zero by itself. Here are examples of integers:. Non-integers are any number that is a decimal, fraction, or mixed unit. These are all not integers:. Whenever you are counting real objects such as books, pencils, shoes, hats, friends, or the number of hairs on your head, you are counting with integers.

Also, every time you round a number to a whole value, you change it from a decimal, fraction or mixed unit to an integer:. Only 1 , 3 , 6 , and 8 are integers. The other numbers are perfectly fine numbers, but they are decimals, fractions, and mixed units.

Get better grades with tutoring from top-rated professional tutors. Get help fast. Want to see the tutors near you? Math Tutors. Find a Tutor. Integer Definition An integer is a whole number from the set of negative, non-negative, and positive numbers. Here is a list of integers: - 9 0 25 - 7, Table Of Contents [hide] [show]. Avoid confusing the different groups of numbers with the different ways we represent them. A set of integers is represented by the symbol Z.

Zero plays a vital role on the number line.