# Integer Addition

Integer addition is a very straightforward process. Just follow the basic steps provided below and you’ll get the correct answers every time. There are **two cases** when adding integers. The first scenario is when we add integers having the same sign. These are the steps:

## Case 1: Steps when Adding Integers with the Same Sign

**Step 1**: Take the absolute value of each number.

**Step 2**: Add the absolute values of the numbers.

**Step 3**: Keep the same sign.

### Examples of Integer Additions with Like Sign

**Example 1**: Add the integers below that have the same sign.

- Step 1: Take the absolute values of the numbers.

- Step 2: Add the absolute values.

- Step 3: Keep the same sign which is positive.

**Example 2**: Add the integers below that have the same sign.

- Step 1: Find the absolute values of negative 10 and negative 3.

- Step 2: Find the sum of their absolute values.

- Step 3: Keep the same sign which is negative.

Now here’s the little twist. We are now going to add integers that have different signs.

## Case 2: Steps when Adding Integers with Different Signs

**Step 1**: Take the absolute value of each number.

**Step 2**: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value.

**Step 3**: Copy the sign of the number with the bigger or larger absolute value.

### Examples of Integer Additions with Unlike Signs

**Example 1**: Add the integers below that have different signs.

- Step 1: Take the absolute values of the numbers.

- Step 2: Since the absolute value of positive 7 is less than the absolute value of negative 15, subtract 7 from 15.

- Step 3: The absolute value of negative 15 is greater than the absolute value of positive 7. Therefore, the final answer will have a negative sign because we copy the sign the sign of the number that has a bigger absolute value.

**Example 2**: Add the integers below that have different signs.

- Step 1: Find the absolute value of each number.

- Step 2: Since the absolute value of negative 18 is less than the absolute value of positive 23, we will subtract 18 from 23.

- Step 3: The final answer will have a positive sign because we will get it from positive 23 which has a larger absolute value than negative 18.

##### Practice with Worksheets

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