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0.9 repeating equals not close to but exactly one. why? because the sequence is 0.99... meaning the difference between 0.99... and 1 is zero because a difference in values would have to occur after the infinite sequence which is impossible. this means that 1 represents the least upper bound,
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0D is a point that has no length, width, or height. 1D is a one-dimensional space in which only one direction exists — length; an example would be a straight line. 2D is a two-dimensional space in which there is length and width; for example, a sheet of paper, a drawing, or the surface of a screen. 3D is a three-dimensional space consisting of length, width, and height; this is the space we perceive in everyday life, and all the objects we are familiar with reside in it. 4D is a four-dimensional
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Things were going GREAT. We had counting numbers. Negatives. Fractions. Irrational numbers. Then math hit x² = -1 and the real number line had nowhere left to go. So instead of extending the line farther… mathematicians gave numbers an entirely new direction. That one move turns the number line into the complex plane — and suddenly i² = -1 has a visual meaning. #ImaginaryNumbers #ComplexNumbers #Math #Mathematics #MathTok #STEM #Algebra #LearnMath #Education #NumberTheory
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