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The upside of negativity Introduction to subtracting integers Video #5 about integers #1 about subtracting integers

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Negative numbers. Negative numbers are the opposite of positive numbers. +++ - - - +++ - - -

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+ -

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Addition means to put two things together.

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If were adding numbers of opposite signs, we have to do the opposite operation – SUBTRACT. So… + does not always mean we get more.

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Is the same as 6 – 2 Which is 4. If this is confusing, review the earlier lesson on adding integers.

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And… guess what?

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Its the opposite of adding. Yea, you know that. Lets know it *and* apply it.

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6 + -2 is the same as 6 – 2 Which is 4.

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If 6 + -2 is the same as 6 -2, then… …. 6 – 2 is the same as 6 + -2, right? We just switched the order we said it in.

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We can solve it by *adding* the *opposite.*

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…. Change subtraction to addition… but its not quite that simple. My bank account would *love* it if I could do that. If I *just* change the minus sign to plus, Im doing the opposite of what Im supposed to do.

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Adding the OPPOSITE -- change two things –- Then were back in balance, and doing what the problem says to do. (The people who say change subtraction to addition expect you to remember to *also* change the sign of the number youre subtracting.)

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Thats right, the rules havent changed. But we can think of this in a more advanced way – 6 – 2 = 6 + -2, which of course = 4 because same sign, add and keep different sign subtract! Keep the sign of the bigger number, Then youll be exact!

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6 – 2 = 6 + - 2

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Opposites are … you know, not the same. Opposite. Backwards is not forwards. Theyre opposite. HOWEVER, its not like theyre just different, like cherry and pineapple. … if you turn around… and turn around again… youre going the same direction again. Yes is the opposite of no… but if you *refuse* to say *no* … then havent you really said yes?

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Give these guys the bam! Bam! treatment… 6 – 550 - 25 10 – 340 - 20 10 – 410 – 5

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If the new problems look like this, you have 100 % A + 6 + –550 + -25 10 + –340 + -20 10 + –410 + –5

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6 + –5= 150 + -25 = 25 10 + –3= 740 + -20 = 20 10 + –4= 610 + –5 =5

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Yes, you already knew 6 – 5 was one. Next movie will explain how to solve 5 – 6. Maybe you can figure it out for yourself

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