Adding Negative Numbers Worksheet, Rules, and Examples

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Adding Negative Numbers the EASY Way (How to Add Negative Numbers)

Key Points about Adding Negative Numbers

  • Adding negative numbers involves moving to the left on the number line.
  • To add a positive number, one must move to the right on the number line.
  • Understanding how to add and subtract negative numbers is essential for developing strong math and problem-solving skills.

The Process for Adding Two Negative Numbers

Adding Negative Numbers is when you add integers that have a negative sign with another integer that can be positive or negative. Negative Numbers are less than zero and, therefor, negative. The way to add negative numbers depends on if you are adding two negative numbers together or if you are adding one negative number with one positive number.

If you are adding two negative numbers together, you will add them just like if you were adding two positive numbers together. That means you will just add them like normal. The only extra step is that you will keep the negative sign. In other words, when adding two negative numbers together, you add them together and keep the sign which is negative.

A negative plus a positive is different if one number is negative and one number is positive. The easiest way to add a negative plus a positive is to find the absolute value of the numbers being added together and then keep the sign of the larger number. The absolute value of a number is the distance of that number from zero. Because the absolute value is distance, it will always be positive since distance cannot be negative. Once you have the absolute value of each number, you will just subtract the smaller number from the larger number. Then you will keep the sign of the larger number.

Adding negative numbers is a fundamental concept in mathematics, and it is essential to understand how to add and subtract negative numbers to solve more complex problems. Negative numbers are represented by a minus sign (-) before the number, and they are less than zero. Positive numbers, on the other hand, are greater than zero and are represented by a plus sign (+) or no sign at all.

To add negative numbers, one must first understand the rules for adding negative numbers. The rule for adding negative numbers is to move to the left on the number line. For instance, adding -3 to -2 equals -5 because you move three spaces to the left of -2 to get to -5. However, when adding a positive number, one moves to the right on the number line.

It is crucial to learn how to add and subtract negative numbers because it is a fundamental skill that is used in many areas of math, science, and engineering. Understanding the rules and examples of adding negative numbers can help students develop a strong foundation in math and problem-solving skills.

Common Core Standard: 7.NS.1
Related Topics:
Subtracting Negative Numbers, Multiplying Negative Numbers, Dividing Negative Numbers, Order of Operations
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Home, 7th Grade

Adding Negative Numbers

How to Add Negative Numbers

When adding negative numbers, it’s important to remember that adding a negative number is the same as subtracting a positive number. Essentially, you are moving to the left on the number line. Here’s an example:

-2 + (-3) = -5

In this case, you start at -2 and move three units to the left to get to -5.

One helpful trick to remember when adding negative numbers is to always keep the negative sign with the number. For example:

-2 + (-3) = -(2+3) = -5

This is because the negative sign applies to the entire number, not just the digit immediately following it.

It’s also important to note that when adding negative numbers, the sum will always be negative. For example:

-4 + (-5) = -9

In this case, the sum is negative because both numbers being added are negative.

Overall, adding negative numbers requires a solid understanding of the concept and a careful approach to ensure that the negative sign is applied correctly.

 

Rules for Adding Negative Numbers

Adding negative numbers can be tricky, but it’s an essential skill to master in math. Here are some rules to follow when adding negative numbers:

  • When adding two negative numbers, add their absolute values and put a negative sign in front of the answer. For example, -3 + (-2) = -5.
  • When adding a negative number and a positive number, subtract their absolute values and use the sign of the number with the larger absolute value. For example, -3 + 2 = -1.
  • When adding a negative number and a negative number, it’s like adding two negative numbers. Add their absolute values and put a negative sign in front of the answer. For example, -3 + (-2) = -5.
  • When adding a negative number, think of it as moving to the left on the number line. For example, adding -3 is the same as moving three units to the left.
  • When adding a positive number, think of it as moving to the right on the number line. For example, adding 2 is the same as moving two units to the right.

It’s important to practice adding negative numbers to become more comfortable with the process. A calculator can be a helpful tool to check your answers and ensure accuracy.

In summary, when adding negative numbers, it’s important to follow the rules and think of the numbers as movements on the number line. With practice, adding negative numbers can become second nature.

 
 

Adding Negative Numbers Solution

How to Subtract and Add Negative Numbers in 4 Simple Steps

  1. If both numbers are negative, you add the number together and keep the negative sign for your answer.
  2. If one number is positive and one number is negative you have to first find the absolute value of each number.
  3. Once you know the absolute value you will subtract the smaller number from the larger number.
  4. You answer will have the same sign of the larger number.

When adding and subtracting negative numbers, it is important to understand the concept of negative and positive numbers. Negative numbers are numbers less than zero, while positive numbers are greater than zero. To visualize this, you can use a number line, where zero is the center, and negative numbers are to the left, and positive numbers are to the right.

To add or subtract negative numbers, you need to pay attention to the signs. A negative sign in front of a number means that the number is less than zero, while a positive sign means that the number is greater than zero.

When adding or subtracting negative numbers, you can use a few simple rules to help you. First, if you are adding two negative numbers, you can add the absolute values of the numbers and then put a negative sign in front of the answer. For example, -3 + (-5) = -8.

Second, if you are adding a negative number and a positive number, you can subtract the absolute value of the negative number from the absolute value of the positive number, and then use the sign of the larger number. For example, -3 + 5 = 2.

Third, if you are subtracting two negative numbers, you can change the signs of both numbers and then add them as if they were positive. For example, -3 – (-5) = -3 + 5 = 2.

Lastly, if you are subtracting a positive number from a negative number, you can add the absolute values of the numbers and then use the sign of the larger number. For example, -3 – 5 = -8.

It is important to note that when using a calculator to add or subtract negative numbers, you need to use parentheses to group the negative numbers together. For example, to calculate -3 + (-5) on a calculator, you need to enter (-3) + (-5).

In summary, adding and subtracting negative numbers requires paying attention to the signs and using a few simple rules. By understanding the concept of negative and positive numbers and using a number line, you can easily add and subtract negative numbers.

 

5 Quick Adding Negative Numbers Practice Problems

/5

Adding Negative Numbers Quiz

Click Start to begin the practice quiz!

1 / 5

Simplify.

5 + (-3)

2 / 5

Simplify.

-1 + (-5)

3 / 5

Simplify.

1 + (-8)

4 / 5

Simplify.

-4 + (-2)

5 / 5

Simplify.

3 + (-1)

Your score is

0%

 

Negative Plus a Negative Equals

When adding negative numbers, it’s important to remember the rule “Negative plus a negative equals a negative”. This rule states that when you add two negative numbers together, the result will always be negative. For instance, if you add -3 and -5, the answer will be -8. This rule applies to all negative numbers, regardless of their value.

Negative numbers are numbers that are less than zero. When we add two negative numbers together, we are putting two values that are less than zero together. For example, if we add -2 to -3, we are combining two numbers that are less than zero. The answer is -5, which is still less than zero. But if we add -3 to -2, we get -5, which is bigger than both -3 and -2!

This idea is important in math, science, and other subjects. We can use it to solve problems in the real world, like figuring out how far apart two places are on a map or how fast an object is moving. Understanding negative numbers is important if we want to do well in these subjects.

 

Learn to Add and Subtract Negative Numbers

Adding and subtracting negative numbers can be a bit tricky, but with some practice, anyone can master it. Negative numbers are numbers that are less than zero, such as -3, -2, and -5. When adding or subtracting negative numbers, it is important to keep in mind the rules of math.

To add negative numbers, simply add the numbers together and keep the negative sign. For example, -3 + (-2) = -5. The answer is negative because both numbers being added are negative.

To subtract a positive number from a negative number, move to the left on the number line. For example, -3 – 2 = -5. Start at -3 and move two units to the left to get to -5.

Subtracting a negative number is the same as adding a positive number. For example, -3 – (-2) = -1. To solve this problem, change the subtraction sign to an addition sign and change the negative number to a positive number. So, -3 + 2 = -1.

It is important to note that when subtracting a positive number, the answer will be negative. For example, -3 – 2 = -5. However, when subtracting a negative number, the answer will be positive. For example, -3 – (-2) = -1.

To practice adding and subtracting negative numbers, one can use a calculator or work through problems on paper. Khan Academy offers a variety of practice problems and videos to help anyone learn how to add and subtract negative numbers.

 

FAQ about Adding Negative Numbers

What is the rule for adding and subtracting negative numbers?

When adding or subtracting negative numbers, the rule is to add or subtract the absolute values of the numbers and keep the sign of the larger number. For example, to add -3 and -5, you add 3 and 5 to get 8, and keep the negative sign to get -8.

Does adding two negative numbers make a positive?

No, adding two negative numbers does not make a positive number. When you add two negative numbers, the result is a negative number. For example, -3 + (-5) = -8.

How do you add two negatives together?

To add two negative numbers together, you add the absolute values of the numbers and keep the negative sign. For example, -3 + (-5) = -8.

What are the rules for adding and subtracting negative and positive numbers?

When adding or subtracting positive and negative numbers, the rules are the same as when adding or subtracting negative numbers. You add or subtract the absolute values of the numbers and keep the sign of the larger number. For example, 3 + (-5) = -2.

When you add two negative numbers do you get a positive?

No, when you add two negative numbers, the result is a negative number. For example, -3 + (-5) = -8.

What is the difference between adding and subtracting negative numbers?

When adding negative numbers, you move to the left on the number line. When subtracting negative numbers, you move to the right on the number line.

What happens when a negative adds a positive?

When a negative number adds a positive number, the result is either negative or positive, depending on the absolute values of the numbers. If the absolute value of the negative number is larger than the positive number, the result is negative. If the absolute value of the positive number is larger than the negative number, the result is positive. For example, -3 + 5 = 2.

What are the rules for adding negatives and positives?

When adding positives and negatives, you add the absolute values of the numbers and keep the sign of the larger number. For example, 3 + (-5) = -2.

 

Adding Negative Numbers Worksheet Video Explanation

Watch our free video on How to Add a Negative plus a Positive. This video shows how to solve problems that are on our free Negative Plus a Positive worksheet that you can get by submitting your email above.

Watch the free Negative Plus a Positive video on YouTube here: Negative Plus a Negative Video

Video Transcript:

This video is about adding positive and negative numbers. You can get the worksheet used in this video for free by clicking on the link in the description below. Before I do a practice problem showing you how to add negative numbers, I want to talk about the two differences when working on problems about negative numbers.

The first tip when solving problems about adding positive and negative numbers is, if they have the same sign you will add the numbers together and then you will keep the sign. If they have the same sign you will keep the signs. In the case of this worksheet if it’s a negative number plus another negative number you will keep the sign, which is the negative. Add the two numbers together and your answer will also be a negative number. Now if they have opposite signs, what you do is you actually subtract them. Then you take the sign of the larger number. Let’s do a couple practice problems from our worksheet.

First of all our first problem on our negative numbers worksheets gives us negatives. Our first problem gives us negative one plus negative five. Now you will notice that both of these numbers are already negative, so the negative 1 and the negative 5 are both negative. Our rule is you will add the two negatives up. So you add the numbers together then because the signs are the same, you keep that sign.

This is a negative 1 and this is a negative 5. Our answer will also be negative so all you have to do is add negative 1. We’re going to add our number plus negative 5 so we’re going to add negative 1 and negative 5 together and that’s going to give us 6 and then because they are both negative our answer also has to be negative. So negative 1 plus negative 5 is negative 6.

Jumping down to the second problem on our negative plus a positive worksheet you can see that this time we have a positive 1 plus a negative 8. Now this time this is a positive number which is our 1 and this time 8 is negative, so when they have opposite signs what you have to do is subtract them and then keep the sign of the larger number. In this case our answer has to be negative because 8 is greater than 1 so because 8 is greater than 1, this is negative which means that our answer also has to be negative.

Now what we do is we subtract, so we take our problem here we do 8 minus 1 and, this time we’re subtracting because they’re opposite signs, and we get 7. We know our answer has to be 7 but because negative plus positive means the larger number was 8 and this number was negative so 8 was negative that means our answer also has to be negative. When we write this out if you do 1 plus a negative 8 your answer will be a negative 7 because when you subtract those you get 7 and the larger number of the is a negative. Our answer has to be negative seven. This practice problems helps you learn how to answer what is a negative plus a positive.

All right so moving on to number five on the adding positive and negative numbers worksheet. When we’re adding two negatives together the two negative numbers this time, this is negative and this is negative, so that means our answer has to also be negative. They have the same sign so we’re going to do a negative plus negative and keep that sign so all you do is you add them together.

Negative eight plus a negative two, you will add eight plus two here so eight plus two that is going to be 10 and then because they are both negative that means the answer also has to be negative. That’s a negative eight, that’s negative two, so you add them together just like all negative plus a negative problems and then you keep the sign. It has to stay negative and our final answer is negative ten.

The last example we’re going to do is number seven. This problem gives us five plus negative three. This time we have a negative plus a positive. So to determine what sign our answer is going to be we have to actually subtract these, and we’re subtracting these because they have different signs. This is a positive and this is a negative and in order to determine positive five plus negative three you have to actually subtract them.

We’re going to do five minus three because they have different signs this time. Five minus three gives us two. But determine what the sign of your answer is going to be you have to look at which number was bigger. In the case of our problem we have five plus negative three. Five is obviously larger than three so because five is positive that means our answer also has to be positive. Our final answer is just going to be a positive two. What you do is again five plus negative three you have a positive number here and a negative number here.

We already know that you have to subtract when you have different signs, so we do 5 minus 3 and we get 2 and then because this 5 is larger and this 5 is positive. That means our answer has to be positive two.

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Free Adding Negative Numbers Worksheet

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