# How to Add Integers Correctly: A Guide with Homework Answers for Lesson 2

## Lesson 2 Homework Practice: Learn How to Add Integers and Check Your Answers

Adding integers is the process of finding the sum of two or more integers. It may result in an increase or a decrease in value, depending on whether the integers are positive or negative or a mixture. In this article, you will learn how to add integers using some simple rules and examples. You will also find some homework practice questions and answers for lesson 2.

## Lesson 2 Homework Practice Add Integers Answers

## Rules for Adding Integers

There are certain rules to be followed to add two or more integers. Integers are complete numbers that do not have fractional parts. It includes positive integers, zero, and negative integers. The rules for adding integers are given below:

The sum of an integer and its additive inverse is 0. For example, 4 + (-4) = 0.

Adding two positive integers always results in a positive value. For example, 6 + 6 = 12.

Adding two negative integers always results in a negative number. For example, (-6) + (-6) = -12.

Adding integers with 0 results in the same number. For example, 6 + 0 = 6, and -8 + 0 = -8.

Adding a positive number with a negative number is done by finding the difference between the absolute value of both numbers. Then, the sign with the greater number gets attached to the sum. For example, +7 - 3 = +4.

## Adding Integers with the Same Sign

When we add two integers with the same sign, we add their absolute values and attach the common sign with the sum. For example, 2 + 3 = 5, (-2) + (-3) = - (2 + 3) = -5. The absolute value of a number is the positive value of the given number. For instance, the absolute value of 6 is 6, the absolute value of -6 is 6, and so on.

### Examples

Some examples of adding integers with the same sign are given below:

(-1) + (-9) = - (1 + 9) = -10

3 + 8 = 11

(-2) + (-17) = - (2 + 17) = -19

## Adding Integers with Different Signs

Adding two integers with different signs is done by subtracting the absolute values, and then attaching the sign of the number with the greater absolute value. For example, if we want to add -2 and 3, first we find the absolute values of both. The absolute value of -2 is 2, and of 3 is 3. Now, find the difference between these absolute values which is 3 - 2 = 1. Since 3 > 2, and 3 has a positive sign, the sign of the resultant number will be positive. Therefore, - 2 + 3 = 1.

### Examples

Some examples of adding integers with different signs are given below:

-5 + (+7) = (+7) - (+5) = +2

+4 + (-9) = (-9) - (+4) = -5

-8 + (+12) = (+12) - (+8) = +4

## Homework Practice Questions and Answers

To practice adding integers, try to solve the following questions. You can use the rules and examples given above to help you. You can also use a number line or integer chips to visualize the addition. The answers are given at the end of this article.

What is -3 + 5?

What is 10 + (-12)?

What is -7 + (-8)?

What is 0 + (-4)?

What is -15 + 15?

## Answers

Here are the answers to the homework practice questions. Check your work and see if you got them right.

-3 + 5 = 2

10 + (-12) = -2

-7 + (-8) = -15

0 + (-4) = -4

-15 + 15 = 0

## Conclusion

In this article, you learned how to add integers using some simple rules and examples. You also practiced adding integers with some homework questions and checked your answers. Adding integers is an important skill that you will need in many math topics and real-life situations. We hope this article helped you understand and master adding integers. a27c54c0b2