Try out the interactive number line below. Choose a few pairs of positive integers to add. Click and drag the blue and red dots, and watch how the addition works. To add integers on the number line, you move forward, and you face right the positive direction when you add a positive number. Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1. As with positive numbers, to add negative integers on the number line, you move forward, but you face left the negative direction when you add a negative number.
In both cases, the total number of units moved is the total distance moved. Since the distance of a number from 0 is the absolute value of that number, then the absolute value of the sum of the integers is the sum of the absolute values of the addends. When both numbers are negative, you move left in a negative direction, and the sum is negative. When both numbers are positive, you move right in a positive direction, and the sum is positive. To add two numbers with the same sign both positive or both negative :.
Both addends have the same sign negative. Since both addends are negative, the sum is negative. Numbers can be either positive or negative. For example, if you saw the number 6 exactly the way we wrote it here, it means positive 6. Adding positive numbers involve just simple addition, and subtracting them is just simple subtraction.
When we talk about negative numbers, things get a bit more difficult. A negative number has a "-" sign in front of it. For example, -6 would mean negative 6. What happens when we try to add two negative numbers? Two negatives actually make a positive! When you see two minus signs next to each other, you'll know to add it instead.
Why does it work like this? Let's take an example dealing with your bank account. An example of two negatives in real life can be seen through double negatives when we're speaking. If we told you to not cross the road, it would mean just that.
But if we told you to not not cross the road, it means you should cross the road. In a similar sense, you can use this to help you when adding negative numbers. A good rule of thumb is that when you see two like signs, add the numbers together i. If you see unlike signs i.
If you need to check your calculations on positive and negative integer calculation, try out this online calculator.
Looking for more topics to review? Learn what the order of operations are with PEMDAS , and how to deal with subtraction and addition of decimal numbers. There are models to help you add and subtract fractions as well such as adding fractions with like denominators.
You can also try your hand at divisibility rules that can help you find factors of whole numbers. Do you see a pattern? Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum.
To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero. Directions: Read each question below.
By signing up, you agree to receive useful information and to our privacy policy. Shop Math Games. Skip to main content. Search form Search. Rule: The sum of two negative integers is a negative integer. Rule: The sum of two positive integers is a positive integer. That's my number line. And we're starting at So let's draw a 0 over here. And so we're starting at So this is Let me draw a big fat arrow to signify this is Now we're adding negative 46 to that This is equivalent to 15 minus 46, which means we are going to move 46 spots to the left of A negative sign or a minus means we're moving to the left on the number line.
So we're going to move 46 to the left. We're starting at 15, and we are going to move 46 to the left. So the length of this arrow right here is going to be 46, and we're moving to the left. This is the negative 46 that we're adding to the We're going to end up at some point over here.
That point is clearly 0. Because we were 15 to the right. Now we're going to move 46 to the left. So we're definitely going to be to the left of 0. It's definitely going to be a negative number. And we can even think about the absolute value of that negative number. We can just visualize it.
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