Its time to get real, or unreal, about Real and unreal (Imaginary) Numbers. Yesterday we talked about The Real Number System which is a way of classifying numbers. A Real Number is basically any number that you can visualize and makes sense (mostly). Even though imaginary numbers exist and can be used in equations they are classified as imaginary (which ms Bjornson thinks is dumb). So even though Imagery Numbers are real numbers they aren't Real Numbers. (side note if you combine a Real Number with an Imaginary Number you get whats called a complex number.) That's all very confusing but the good news is none of it will be on a test. what will be on a test is the following. Real numbers are made up of rational and irrational numbers. from the word ratio. meaning rational numbers can be expressed as a ratio (or fraction) and irrational numbers cant. another way to think of this is that Irrational numbers have never ending decimal places that don't repeat. That's as far as irrational numbers go but rational numbers have a few more subcategory's. integers are rational numbers that don't have a decimal place but can be positive or negative. Whole numbers are integers that aren't negative but still include 0. natural numbers are whole numbers that don't include 0, or counting numbers. a chart consisting of the symbols for each category and notes on the class that aren't the most relevant to the lesson are next to and below the following video. The person in the video explains this whole thing far better then I do but she sounds like she's speaking to a toddler or the passengers on an airplane so it kinda balances out. We talked about a few things that aren't super relevant but are still really interesting. some of these things include: discussing how the number 0 wasn't invented for 100s of years after someone thought to write out symbols for numbers. farmers didn't need to have a number for having 0 chickens. people how though outside the box were usually killed or thrown in the loony bin. ∞ can potentially be placed in all number categorys in specific ways because all number categorys continue to infinity. Real numbers: fancy R with two lines Rational numbers: Q Integers: I or Z Whole numbers: W Natural numbers: you guessed it: N Irrational numbers: Q with a bar on top (or Qbar) (if you want help remembering the symbol for remembering the symbol for irrational numbers you can use Jamie's simple three step method: 1: Qbar kinda sounds like rhubarb. 2: rhubarb is a kind of pie. 3: Pi is an irrational number boom -Louis
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Find your green dot!AuthorsWe are members of Esquimalt High School's Gifted Math 10 class. Most of us like Hi-Chews. Archives
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