
David W. answered 01/28/17
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Experienced Prof
Compatible numbers are numbers that are close in value to the actual numbers, and which make it easy to perform mental arithmetic.
So, when selecting a number close to 1826, you should consider the other number(s) and the operation to be performed.
For example,
Q: How long ago was 1826?
A; Use 2017 and 1817 as compatible numbers to get "approximately 200 years ago."
Q: Each section of the stadium holds 100 people; how many sections are needed for 1826 people?
A: 1800 people require 18 sections; the rest fit into the 19th section.
Q: I bought 3 notebooks for $18.26; how much did each one cost?
A: A little over $3.00 (that is, 1800/3 cents); more precisely, approximately $3.09 (that is, $18.27/3).
Note that compatible numbers are chosen to "relate" to each other based on the operation to be performed; they are approximately equal, not simply rounded.


David W.
You found a couple of my many typos per day. THX.
If the estimate is a SWAG (look it up), then "a little over $3" is a lot better than "a little over $10" or "a little over $100" [note: I worked on Government projects where an-order-of magnitude estimate by an authority was considered acceptable until prototypes could be built or simulations could be conducted]. You might be surprised how many students (and tutors) have real difficulty with estimating and therefore get the wildest answers to math problems.
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01/28/17
Andrew M.
01/28/17