What's the difference between "value" and "quantity"?
Thanks for help.
I would use 'value' in equations and formula such as
What value of x makes this equation true ... 2x + 3 = 17 ?
If F = 9C/5 + 32 ... what is the value of F if the value of C = 40 ?
I would use 'quantity' when measuring something such as
What quantity of sand is needed to make a 3:1 concrete mix if I have 25 kilos of cement.
I think you can always change 'what quantity of' to 'how much'; thus
How much sand is needed .......................?
EDIT: I've just looked on dictionary.com and found this:
value 6. maths
a. a particular magnitude, number, or amount: the value of the variable was 7
b. the particular quantity that is the result of applying a function or operation for some given argument: the value of the function for x=3 was 9
Interesting that they use the word quantity whilst defining value.
4. Mathematics .
the property of magnitude involving comparability with other magnitudes.
something having magnitude, or size, extent, amount, or the like.
magnitude, size, volume, area, or length.
So perhaps the main difference is that value is used when you want to be specific, such as
I have a number of piles of objects. I know the quantity of objects in each pile. Which value will satisfy this specific requirement ..............
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Thank you Bob.
Is it right to think this way: quantity is amount, and a value is a computed or assigned quantity/number.
What is a number then? What's the difference between quantity and number?
Last edited by atran (2013-09-21 03:35:58)
Using my thesaurus,
value: "a numerical quantity measured or assigned or computed"
quantity: "how much there is or how many there are of something that you can quantify"
number: "the property possessed by a sum or total or indefinite quantity of units or individuals"
I don't really understand the definition of a number: Is it safe to say that it's an abstract quantity?
Ricky once proved that lots of definitions in dictionaries eventually were circular. It led me to distrust them, especially when dealing with math definitions.
A number is a mathematical object used to count, label, and measure.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
Mathematics is the science of quantities
Number is the symbol for a known quantity
Variable is the symbol for an unknown quantity
Amount is the extent of something
Value is a known numerical amount
Quantity is a known or unknown numerical amount
In other words, a quantity is always a value, but a value is not necessarily a quantity. Take for example the variable, which is a quantity that can have different values.
Last edited by knightstar (2014-03-20 08:01:31)