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Hello:

Would there be a reason to divide a number without units by another number with units? Here is an example:

35 divided by $5.00 or 35/$5.00

The answer cannot have units ($) because $5 X 7 does not equal 35 but instead $35.00.

$35.00 divided by 5 or ($35.00/5) and $35 divided by $5.00 or ($35.00/$5.00) make more sense.

I thank you for your reply.

Yes, but I say that in practice we can attach units to just about anything.

Some examples:

1. $35 divided by 5, we can think of $35 being split 5 ways, say among 5 people

. Thus, $35/5 ppl = $7 per person.

2. 35 divided by $5, we can think of $5 buys us 35 of something, say 35 eggs.

. Thus, 35 eggs/$5 = 7 eggs/$ or 7 eggs per dollar, i.e. $1 dollar buys us 7 eggs.

See?

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Comment | Thanks for the reply! |

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Over 15 years teaching at the college level.**Organizations belong to**

NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.**Education/Credentials**

B.S. in Mathematics from Rensselaer Polytechnic Institute

M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook