What is quotient: Definition and 355 Discussions

In arithmetic, a quotient (from Latin: quotiens 'how many times', pronounced ) is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division (in the case of Euclidean division), or as a fraction or a ratio (in the case of proper division). For example, when dividing 20 (the dividend) by 3 (the divisor), the quotient is "6 with a remainder of 2" in the Euclidean division sense, and



6



2
3





{\displaystyle 6{\tfrac {2}{3}}}
in the proper division sense. In the second sense, a quotient is simply the ratio of a dividend to its divisor.

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  1. S

    Quotient Rule - is this right or wrong?

    Quotient Rule -- is this right or wrong? Well the book I'm learning from suggests you take the following: y = ( (2x + 3) / (x + 4) ) ^ 2 And use the chain rule first. However, the way I find easiest is to re-arrange it so that: y = (2x + 3) ^ 2 / (x + 4) ^ 2 That way I can go...
  2. S

    Quotient rule for derivatives (algebraic division help?)

    Hi, I'm currently reading "Calculus Made Easy" and ran into a road block. I'm reading this in my spare time so it's not school work or anything (I know some forums have policies about this is why I mention). The answer is there. I just want to know how to go about doing this problem. It...
  3. Orion1

    Does IQ really determine intelligence?

    Congratulations, Orion1 Your IQ score is 131 This number is based on a scientific formula that compares how many questions you answered correctly on the Classic IQ Test relative to others. Your Intellectual Type is Visionary Philosopher. This means you are highly intelligent and have a...
  4. C

    What is the Quotient Set for the Given Equivalence Relation?

    If I have an equivalence relation acting on all integers (Z): a ~ b if any only if 3a + b is a multiple of 4, then here is what I think the quotient set is: The equivalence class of 0 = {x belongs to Z | x ~ 0} = {x | 3x = 4n for some integer n}. (The set would look like {0, 4, 8, 12...
  5. F

    Prove the quotient theorem using the limit definition?

    Hello guys! I'm new here! Well, it feels like this forum is cool and interesting! Can anyone help me here? =) How do you prove the quotient theorem using the limit definition? (Given a limit of f of x as x approaches a is A and a limit of g of x as x approaces a is B).
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