You are here:

Advanced Math/Per Year Per $1000 & Per $1000 Per Year

Advertisement


Question
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.

Answer
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

Advanced Math

All Answers


Answers by Expert:


Ask Experts

Volunteer


Ahmed Salami

Expertise

I can provide good answers to questions dealing in almost all of mathematics especially from A`Level downwards. I can as well help a good deal in Physics with most emphasis directed towards mechanics.

Experience

Aspiring theoretical physicist. I have been doing maths and physics all my life.

Education/Credentials
I teach mathematics and engineering physics.

©2016 About.com. All rights reserved.