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# Video:What Are Integers?

with Maria Birch

Want to learn about integers and their meaning in math? Here, see facts and helpful information about integers.See Transcript

## Transcript:What Are Integers?

Hi, I'm Maria Birch and in this video, I'm going to be discussing integers. Integers are positive or negative whole numbers. They are never fractions or mixed numbers.

One of the most helpful ways to understand integers is to use a number line, so let's take a look at the number line we have here. As you will see, there are arrows at each end of the number line and this means that numbers go on infinitely in both directions.Whole numbers on the right hand side of the zero are called positive integers, and whole numbers on the left hand side of the zero are called negative integers. Zero is neither positive nor negative.

### What Are Integers?

Two integers are opposites if they are the same distance from zero but on opposite sides of the number line. So for example, 2 and -2 are opposite integers.

There are several rules to keep in mind when working with integers: A positive integer plus a positive integer is always positive.

A negative integer plus a negative integer is always negative.When subtracting integers, a negative minus a positive equals a negative.

A positive minus a negative equals a positive.With multiplying rules, a positive times a positive is always positive.

A negative times a negative is always positive.

A negative times a positive is always negative.

And a positive times a negative is always negative. The rules for dividing are the same as multiplying.

A positive divided by a positive is always positive.

A negative divided by a negative is always positive.

A negative divided by a positive is always negative.

And a positive divided by a negative is always negative.

Before we end, let's do a few examples:-7 + (-3) = -10 because a negative integer plus a negative integer is always negative.-6 / -3 = 2 because a negative divided by a negative is always positive.And -6 x 3 = -12 because a negative times a positive is always negative.