Welcome back to the school everyone! I hope you all had a great summer. For all those whose summer was maybe a little
too great, maybe those who’ve forgotten even the basics, we’re going to take it all the way back to arithmetic a.k.a “number theory”.
A review of number theory is a perfect place to start for many levels. Calculus and a lot of what you learn in pre-calculus is based on the real number system.
When we use the word “number” we are typically referring to all real number. But how can numbers be “real”? You can’t touch the number 6 or smell 1,063. You can’t boil 1/2 or stick it in a stew. So what’s so real about real numbers? The simple answer is this:
a real number is a point on a number line (1).
-2.5 -1 0 ...
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In mathematics, different functions has different rules and I can see a lot of students are struggling with the rules for integers. So I'll kindly discuss the rules for each operation: + - * /
Addition
(-) + (-) = (-)
Ex: -9+-8=-17
(+) + (+) = (+)
Ex: 4+6=10
(+) + (-) [Remember to always take the bigger number sign and use the opposing operation, which is subtraction to solve the equation.]
Ex: 5+-3=2
(-) + (+)
Ex: -9+8=-1 [Same rule follow as above]
Subtraction
(-) - (-)
Ex: -9-(-8) = -9+8
[When two negatives are next to each other you change to its opposing operation: addition and change the 8 into a positive integer.]
(+) - (+) = (+) [Unless the first integer is smaller than the second.
Ex: 5-8= 5+-8 [Then you follow the rule...
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