Withen class today we discussed how .9 repeating is equal to 1. Student(s) came to a consensus that the two are indeed equal I understand or semi understand the process behind how this idea was confirmed but what I don't understand is how .9 can repeat forever and never increase but yet it equals one. Plus in the equation there was a variable used I don't get how or why we can randomly through in a variable and I dont get where it came from?
Think about Algebra....are 2x + 2y =4 and x + y = 2 different equations? Consider that their graphs lie one on top of another. Since their points have to discernible spacing, you can reason they are the same line. Think of this issue in that light. You have two numbers with no discernible spacing....ergo, they could be the same.
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