How To Add Integers With Different Signs

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How to Add Integers with Different Signs

Introduction

Integers are whole numbers that can be positive, negative, or zero. Adding integers with different signs can seem confusing at first, but it’s actually quite simple. Here’s a step-by-step guide to help you get it right.

Step 1: Determine the Signs

The first step is to determine the signs of the two integers you’re adding. If the signs are the same (both positive or both negative), then the result will be positive. If the signs are different (one positive and one negative), then the result will be negative.

Step 2: Find the Absolute Values

Next, you need to find the absolute values of the two integers. The absolute value of a number is its distance from zero on the number line. To find the absolute value, simply drop the sign (whether it’s positive or negative).

Step 3: Add the Absolute Values

Now it’s time to add the absolute values of the two integers. Remember, you’re essentially finding the sum of their distances from zero.

Step 4: Assign the Resulting Sign

Finally, you need to assign the resulting sign to the sum. As mentioned in Step 1, the result will be positive if the signs were the same and negative if the signs were different.

Example

Let’s say you want to add the integers -5 and 7. Here’s how you would do it:

  1. Determine the signs: -5 is negative and 7 is positive.
  2. Find the absolute values: The absolute value of -5 is 5 and the absolute value of 7 is 7.
  3. Add the absolute values: 5 + 7 = 12.
  4. Assign the resulting sign: Since the signs were different, the result will be negative. Therefore, -5 + 7 = -12.

Conclusion

Adding integers with different signs is a simple process once you understand the rules. Just remember to determine the signs, find the absolute values, add them, and assign the correct resulting sign. With a little practice, you’ll be able to add these integers effortlessly.

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