Learning Objectives:

__Math Tutoring on Adding and Subtracting Integers__

The **Integers** are the numbers that can be written without a **Fractional** or **Decimal** component and fall within the set .

*Adding Integers with a Number Line:*

To add on a number line, we start at** ** and move according to

1. If** ** is positive, we move to the right (**The Positive Direction**).

2. If** ** is negative, we move to the left (**The Negative Direction**).

__Rules for Addition of Integer:__

1. If we adding two **Integers** of the same sign

● Add their **Absolute Values**.

● Keep the sign of the original **Integers**.

2. If we adding two **Integers** with different signs

● Find the **Absolute Value** of both.

● Subtract the smaller value from the larger value.

● The sign of answer is the original sign of the number with the larger **Absolute Value****.**

*Subtraction of Integers:*

We can always rewrite a subtraction problem as an addition problem. Instead of subtracting, we can add the opposite.

For any real number ,

● Subtracting a positive is the same as adding a negative.

● Subtracting a negative is the same as adding a positive.

In general, this rule states we can convert every subtraction problem to an addition problem. We can then follow the rules for adding **Integers**.

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**Hook Question:**

*1. **What are the Rules for Addition of Integers? How can it be done with a Number Line?*

*2. **How is subtraction of Integers done?*

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