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0.1 Numbers and Sets  Real Numbers
0.1 Numbers and Sets Real Numbers

PDF
PDF

... has an irrational hypotenuse. c2 = a2 + b2 , i.e. c2 = 2, c = 2. Thus, must add irrational numbers. The reals are the totality of all finite and infinite decimal numbers. Def. page 8 in Courant. On functions, y = f (x) if f is any law of correspondence whatsoever. Sequences a0 , a1 , a2 , ... are de ...
The Pythagorean Theorem and Irrational Numbers
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... Reminder: Natural Numbers = {1, 2, 3, …} Whole Numbers = {0, 1, 2, 3, …} Integers = {…, -2, -1, 0, 1, 2, …} Rational Numbers: a/b where b ≠ 0. The decimal form of a rational number is a terminating or repeating decimal. Irrational numbers: the decimal form of a irrational number is a non-terminating ...
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... 6. Be able to explain the difference between the types of numbers and then be able to give an example of each. For example, what is the difference between a whole number and an integer. Give an example of each. 7. Make sure that you are able to understand the process for order of operations. If aske ...
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... 3. Which set of numbers is most reasonable to determine the height of a door? rational 4. Is the following statement true or false. If false, give a counterexample. “All negative numbers are integers.” False, because a negative number can be a fraction such as ½, which is not an integer. ...
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... b) If they had $1840 before their vacation started, how much money did they spend on gas, food, hotels, and tourist attractions? How much is left over? ...
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... • In the real number system, we can’t take the square root of negatives, therefore the complex number system was created. • Complex numbers are of the form, a + bi, where a = real part & bi = imaginary part. • If b = 0, a + bi = a; therefore a real number (thus reals are a subset of complex #). • If ...
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