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Hello:

How are the following expressed mathematically?

1. $35.69 per year per $1000

2. $17.65 per $1000 per year

Is 1. ($35.69/year)/$1000 or $35.69/(year/$1000) and is 2. ($17.65/$1000)/year or $17.95/($1000/year)

I thank you for your reply.

Hi Kenneth,

The expressions mean the same for both cases. I mean that, for instance, the first statement simply means $35.69 for every year for every $1000 which is the same as saying $35.69 for every $1000 for every year.

Mathematically,

(A/B)/C = A/(BC)

which is the same as

(A/C)/B = A/(BC)

But,

A/(B/C) = (AC)/B

So, $35.69/(year/$1000) would be incorrect and so would $17.95/($1000/year). The positions of the bracket signs are important, algebraically.

I hope this helps you, let me know otherwise.

Regards

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