## Addition and Subtraction of Integers

#### Aligned To Common Core Standard:

**Grade 7 Number Systems** - 7.NS.A.1

What are Negative Numbers? We all know the opposite of words in the English language. Thin and fat. Night and day. Beautiful and ugly. But do you know the opposites of numbers in math? Let's find out! You know the integers that we use whencounting, right? 1, 2, 3, 4, 5, 6, and so on. All the numbers that we are familiar with are called positive numbers. Why? Because there is no sign along with that value. The starting point of positive integers is 0. So, like any other opposite form of communication, the opposite of positive numbers are negative numbers. All the values that lie before 0 are called negatives, and they are written with a "-" sign. These numbers come before 0 because their value is smaller than 0. For example, 1 and it's opposite is -1. 2 and it's opposite is -2. 3's opposite is -3. These worksheets and lessons will explore the value of these types of values and how they are relative to one another.

### Printable Worksheets And Lessons

- Using a Numbers Line
Step-by-step Lesson- Adding a negative number to a positive
number. We show you how to do this with a numbers line. A great visual for students.

- Guided Lesson -
More work with our favorite visual, but we also introduce the concept of debt
and balances.

- Guided Lesson Explanation
- The numbers line ninjas went all out on this one.

- Practice Worksheet -
I plopped a numbers line at the top for you to work off of.

- Number line Expressions
Five Worksheet Pack - Represent each problem on the numbers
line. A neat way to review this skill.

- Matching Worksheet - This makes for a great culminating activity for the kids.

#### Homework Sheets

As you can tell, I am a huge fan of having a number line handy when looking at this skill.

- Homework 1 - Use a number line to add -3 + 10 . This is a great way to see it before you.
- Homework 2 - Jenifer has 9 cupcakes. She made 2 more cupcakes. But her sister took 3 cupcakes. How many cupcakes does she have left?
- Homework 3 - We know that two like signs become a positive sign when they go through these operations.

#### Practice Worksheets

The first 2 sheets have you draw the problems on a number line. The last sheet is a transition away from the number line.

- Practice 1 - Represent the operations: -2 - (-3) using the technique that we have discussed.
- Practice 2 - We will display a wide array of operations to help make sense of the outcomes.
- Practice 3 - Find the sum of negative values in this practice sheet.

#### Math Skill Quizzes

We cover this skill on all fronts including number lines, word problems, and integer sums and differences.

### What Are Integers?

Integers are a specific set of numbers that consist in a series. These are the counting values that we grew up with, but they also include the negative scale. These values do not include a fractional or decimal portion. That means that they are whole numbers. One thing to remember is that zero is in fact an integer and it the origin of the entire scale. Where students often get a little confused when classifying values in this group is the use of symbols such as brackets, parenthesis, and ellipses. Just because a value is encased or found outside one of these symbols, it does not change the fact that it is classified as an integer. When we are performing addition or subtraction operations with integers there are some common rules that often apply. When we are adding two positive integers the sum is positive as well. The same holds true for negative sums. When you are finding the sum of negative and positive value, it is best to rearrange the equation to make it a subtraction equation. When you are working with subtraction operations, just remember that subtracting a negative value turns it into a positive value.