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rational number
rational number

... cream. A dish with two scoops can have any two flavors, including the same flavor ...
fractions
fractions

... number by dividing the bottom number into the top number. Notice that the remainder becomes the top number in the fractional part of the mixed number. To change a mixed number into an improper fraction we multiply the whole number by the bottom number of the fractional part. To this we add the numer ...
6.5 Irrational Versus Rational Numbers
6.5 Irrational Versus Rational Numbers

Middle School Math
Middle School Math

... Composite Number – (1) A whole number greater than 1 with more than two wholenumber factors. (2) A whole number greater than 1 that is divisible by at least one positive integer other than itself or 1. Examples: 6 = 1  6 ...
HERE
HERE

... polygon. Consider a regular polygon with adjacent vertices, A, B, C, and D. Let P be the point of intersection of the perpendicular bisectors ( FP and GP , respectively) of AB and BC . It can be shown that AFP  BFP  BGP  CGP using the fact that P is equidistant from A, B, and C, and using the ...
Chapter 2
Chapter 2

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1.9 Sig Figs

... • 1.050 x 10-3 5. Zeros at the end of a number without a written decimal point are ambiguous and should be avoided by using scientific notation  if 150 has 2 sig. figs. then 1.5 x 102  but if 150 has 3 sig. figs. then 1.50 x 102 Tro's Introductory Chemistry, Chapter ...
Exponents - Madison Area Technical College
Exponents - Madison Area Technical College

... multiplying copies of the base, it is easier and quicker to apply the laws of exponents when appropriate. Each exponent law below is a consequence of the definition of powers: an represents the product of n copies of the base a. If you are ever unsure about which rule to apply, come back to this def ...
`Prime`l~ium~ers~`J
`Prime`l~ium~ers~`J

Unit 1 * The Number System: Packet 2 of 3
Unit 1 * The Number System: Packet 2 of 3

Trigonometry Review - RIT
Trigonometry Review - RIT

texts and listening tasks
texts and listening tasks

... Another proof of this result which relies only on two chord properties given above is as follows. Given a chord of length y and with sagitta of length x, since the sagitta subtends/divides/bisects/intersects the midpoint of the chord, we know it is part of a diameter of the circle. Since the diamete ...
Full text
Full text

... These initial cases were verified using DERIVE. The study of the initial cases also aided discovery of the general pattern. Remark 2: Results on the continued fractions of quadratic irrationals are well known. Some standard references are [2; pp. 310-88] or [3; pp. 197-204]. Standard textbook exerci ...
Number Basics Decimals - Bakersfield Christian High School
Number Basics Decimals - Bakersfield Christian High School

Exeter Math Club Contest January 28, 2012
Exeter Math Club Contest January 28, 2012

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EMCC 2012 Problems and Solutions

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KANGAROO 2009

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Sides and Angles day

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Solving SAS Triangles "SAS" means "Side, Angle, Side" "SAS" is

Polygon
Polygon

... you have connected all vertices (lines can’t overlap) 2nd: The quadrilateral has 4 sides and is made up of 2 triangles 3rd: A triangle has 180 4th: Therefore the sum of the interior angles is (2 triangles x 180) for a sum of 360 Diagonal ...
2016 Chapter Competition Solutions
2016 Chapter Competition Solutions

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Chapter 2 Summary

Algoritmi di Bioinformatica Computational efficiency I Computational
Algoritmi di Bioinformatica Computational efficiency I Computational

Counted or Measured Number?
Counted or Measured Number?

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Approximations of π



Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era (Archimedes). In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.Further progress was made only from the 15th century (Jamshīd al-Kāshī), and early modern mathematicians reached an accuracy of 35 digits by the 18th century (Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega), surpassing the accuracy required for any conceivable application outside of pure mathematics.The record of manual approximation of π is held by William Shanks, who calculated 527 digits correctly in the years preceding 1873. Since the mid 20th century, approximation of π has been the task of electronic digital computers; the current record (as of May 2015) is at 13.3 trillion digits, calculated in October 2014.
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