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(+) Subtracting Integers (-) Before we can subtract integers, we have to understand how to add them. Let’s explore a way to add integers that’s EASIER to understand remember. Let’s think of integers as money!
Part 1: (+) Adding Integers (-) Show me the Money! $$ $
(+) Adding Integers (-) When faced with an addition problem and you encounter a POSITIVE integer; Imagine the POSITIVE integer as money in YOUR pocket. $$ $ Money in YOUR pocket is GOOD!
(+) Adding Integers (-) When faced with an addition problem and you encounter a NEGATIVE integer; Imagine the NEGATIVE “Owe” integer as money that yourhymes with OWE someone else. not cool! It sure stinks to OWE money!
(+) Adding Integers (-) Let’s try a problem: 9 + (– 5) = ? The $9 is positive and money in your pocket. The $5 is negative and money that you owe someone else. Once you give up the $5, you’re left with + 4. We only had to think: 9 – 5 = 4.
(+) Adding Integers (-) Let’s try another one: – 16 + 8 = ? The $8 is positive and money in your pocket. The $16 is negative and money that you owe a friend. Since you only have $8 to offer up, subtract 8 from 16 to see that you still owe $8 or (– – 8). Bummer, dude!
(+) Adding Integers (-) Think about this one: – 14 + (– 11) = ? This time, you have no money in your pocket and owe $14 and $11 to others. Just add the amounts you owe. Altogether, you owe $25 or ( – 25). Maybe you should Check out my bed have just stayed in bed! head!
(+) Adding Integers (-) Last one: – 3 + 8 + (– 5) + (– 10) + 2 + 6 Step 1: Group all positive numbers (money in your pocket) 8 + 2 + 6 = 16 Step 2: Group all negative numbers (money you owe) (– 3) + (– 5) + (– 10) = – 18 Step 3: Add 16 + (– 18) = – 2
(+) Adding Integers (-) Remember! Positive numbers are $$$ in your pocket. Negative numbers are money you owe someone else. It just makes sense because we naturally know how to handle our own $$$. Now you try some!
(+) Adding Integers (-) • •
(+) Adding Integers (-) So, how did you do on the practice problems, Sparky? I believe I have this adding integer concept covered, sir! I don’t’ get it. Well, now maybe it’s time to get some other things covered.
Part 2: (+) Subtracting Integers (-) “Same, Change”
(+) Subtracting Integers (-) Subtracting integers can be confusing. But after making a quick change to a subtraction of integer’s problem, we’ll be right back to adding. I’m finding this “quick and easy” stuff a little hard to believe. And because we know how to add integers using the money method, we can make subtracting integers easier too.
(+) Subtracting Integers (-) Here’s a sample subtraction problem: – 4 – (– 7) To switch this problem to addition, just think: “same, change!” That’s called “adding the opposite” in the big leagues. Here’s what I mean…
(+) Subtracting Integers (-) – 4 – (– 7) Step 1: Keep the lead number the same. – 4 Step 2: Change the subtraction sign to addition. – 4+ Step 3: Change the second integer’s sign to its opposite. – 4+7
(+) Subtracting Integers (-) Now we’re back to adding integers and thinking of them in terms of money. $$$ – 4+7=? The $7 is in your pocket. Must… see…more … examples! But you owe your friend $4. In the end, you have $3 left or (+3).
(+) Subtracting Integers (-) Okay! Let’s try another one: 8 – 14 Remember! Think “same, change!” Same – Keep the first number the same: 8 Change – Change subtraction to addition: 8 + Change – Change 14 to it opposite: 8 + (– 14)
(+) Subtracting Integers (-) Now we’re ready to add: 8 + (– 14) You have $8, But you owe your friend $14. You give them your $8. In the end, you still owe them $6 or (– 6)
(+) Subtracting Integers (-) Last one: – 10 – 11 Same: – 10 Change: – 10 + (– 11) Add: – 10 + (– 11) = – 21
(+) Subtracting Integers (-) Remember! When you see a subtraction of integer’s problem: Think! “Same, change!” Then you’ll be back to adding integers and I think you’re getting pretty good at that! I’m an adding integer beast! Let’s try some!
(+) Subtracting Integers (-) Change each subtraction problem to addition and then add. • •
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