Subtracting integers can feel a little tricky at first, but don’t worry! Once you understand the basic rules, it becomes much easier. Think of it like a puzzle once you know the trick, you can solve it every time. We’ll break it down step by step.
Integers are just whole numbers (no fractions or decimals!), and they can be positive or negative. Mastering integer subtraction is super important for algebra and beyond. So, lets dive in and conquer those pesky negative signs with some clear examples!
Unlocking the Secrets
The golden rule for subtracting integers is simple: Keep, Change, Change! “Keep” the first number as it is. “Change” the subtraction sign to an addition sign. And then “Change” the sign of the second number (the one you’re subtracting). After that, it’s just addition!
Let’s say you have 5 – 3. Keep the 5, change the minus to a plus, and change the 3 to a -3. Now it’s 5 + (-3). This is the same as saying “five plus negative three,” which is 2. Easy peasy, right? This method simplifies the whole process!
What if you’re subtracting a negative number? For example, 7 – (-2). Keep the 7, change the subtraction to addition, and change the -2 to +2. Now it’s 7 + 2, which equals 9. See how subtracting a negative actually makes the number bigger?
Another way to visualize it is with a number line. If you’re subtracting a positive number, you move to the left on the number line. If you’re subtracting a negative number, you move to the right. Picture hopping along the line to reach the right answer!
Heres a quick recap: Subtracting a positive integer is like adding a negative integer. Subtracting a negative integer is like adding a positive integer. Remember the “Keep, Change, Change” rule and you’ll be subtracting integers like a pro in no time. Practice makes perfect!
Now that you’ve got the rules down, why not try some practice problems? Grab a pencil and paper and test your skills. Remember, understanding these rules will help you in more advanced math concepts. Keep practicing, and youll become an integer subtraction master!