Quotient

A Quotient is a Division Function's output that is represented as a ratio of a Dividend by a Divisor.

• AKA: Division Quotient, Proportion.
• Context:
  • It can be a Rate if the Scales differ for the two inputs to the Division Function.
• Example(s):
  • ⅛ <= Divide(1,8)
  • ¼, ⅓, ½, ⅜ ⅝, ⅔, ¾, ⅞.
  • 1'/2.
  • a'/3.
  • c'/d.
  • any Ratio Value, such as:
    • Pi, is the Ratio of a Circle's Circumference to its Diameter.
    • The Ratio between the edges of of a Golden Triangle.
  • …
• Counter-Example(s):
  • any Proportionality Equation.
  • any Ratio Statement.
• See: Frequency.

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References

2009

• (WordNet, 2009) ⇒ http://wordnetweb.princeton.edu/perl/webwn?s=ratio
  • S: (n) ratio (the relative magnitudes of two quantities (usually expressed as a quotient))
  • S: (n) proportion, ratio (the relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree) "an inordinate proportion of the book is given over to quotations"; "a dry martini has a large proportion of gin"

2008

• Dept. of Eduction, University of Irvine. (2009). “CSET Math Glossary."
  • quotient. When performing division, the number of times one value can be multiplied to reach the other value represents the quotient. For example, when dividing 6 by 3, 3 can be multiplied twice, making 6, so the quotient is 2.

2007

• http://www.sasked.gov.sk.ca/docs/midlmath/glossary.html
  • ratio: a quotient used to compare two or more quantities of the same units of measure.

2000

• Math.com. (2000). “Glossary." http://www.math.com/school/glossary/defs/ratio.html
  • ratio: A pair of numbers that compares different types of units.
  • quotient: The answer to a division problem.

1997

• http://www.mathleague.com/help/ratio/ratio.htm
  • A ratio is a comparison of two numbers. We generally separate the two numbers in the ratio with a colon (:). Suppose we want to write the ratio of 8 and 12. We can write this as 8:12 or as a fraction 8/12, and we say the ratio is eight to twelve.

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