Learning Objectives:

__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**).

3. If is 0, we stay at .

__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**.

Hook Question:

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

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

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