## If 5,a,b are multiplied to form the product 5ab then...

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algebraguy
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### If 5,a,b are multiplied to form the product 5ab then...

i have a simple question here,
i was reading hall and knight algebra .there it was said that if 5,a,b are multiplied to form the product 5ab then 5 is called the coeffitient of remaining factors.i here have a question. 5 is a coeff of a or b or ab?what is correct?

maggiemagnet
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### Re: If 5,a,b are multiplied to form the product 5ab then...

i have a simple question here,
i was reading hall and knight algebra .there it was said that if 5,a,b are multiplied to form the product 5ab then 5 is called the coeffitient of remaining factors.i here have a question. 5 is a coeff of a or b or ab?what is correct?
The coefficient is the number-only part. The 5 is the coefficient of the variable part, ab; it is the coefficient of the "term" 5ab. You can see more here.

algebraguy
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### Re: If 5,a,b are multiplied to form the product 5ab then...

thanks maggiemagnet

algebraguy
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### Re: If 5,a,b are multiplied to form the product 5ab then...

i have a confution here,
in definition of division it's says that let a and b be two quantities,then the division of a by b is that quantity which when multiplied by b produces a.this defn is inthe book hall and knight.now my question is "does a and b represents any two numbers?"because if b=0 then how can we find quotient?pls answer.

Alfred
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### Re: If 5,a,b are multiplied to form the product 5ab then...

If b=0, then 5ab = 0.
Do you mean "if b=1" ?

algebraguy
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### Re: If 5,a,b are multiplied to form the product 5ab then...

If b=0, then 5ab = 0.
Do you mean "if b=1" ?
no alfred,its a different topic

FWT
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Joined: Sat Feb 28, 2009 8:53 pm

### Re: If 5,a,b are multiplied to form the product 5ab then...

in definition of division it says:

let a and b be two quantities. then the division of a by b is that quantity which, when multiplied by b, produces a.

now my question is "does a and b represents any two numbers?" because if b=0, then how can we find quotient?
If b=0, then 5ab = 0.
Like "Alfred" said: If b = 0, then you can't do "division of a by b" because you can't divide by 0. And you can't do "when multiplied by b, produces a" (unless a = 0 too) because anything times 0 is just 0. So the question doesn't make sense.
Do you mean "if b=1" ?
no alfred,its a different topic
Your question didn't make sense in context, so I think "Alfred" was trying to figure out what you meant. I'm not sure what you're asking either. Do you maybe mean that they should have said that b should be a non-zero quantity, and then the rest follows? So it should be like this:

"Let a and b be two quantities, with b non-zero. Then 'the division of a by b' is that quantity c such that, when c is multipled by b, the result is a. In other words, the division is defined as c, such that bc = a."

Like that?