1. Open your book to page 3. (American English)
2. Open your book at page 3. (British English)
3. Open your book on page 3.
Is sentence #3 also acceptqable?
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As an American, I think only #1 sounds right. "...on page 3" sounds very odd.
Yes, odd indeed! Infact, though we follow BrE in India, I have never heard 'at page 3' before. It has always been 'to page 3'.

'on page 3' is normally used in a sentence like - On page 3 you will find a picture of the lunar eclipse.
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I think at works in BrE, see this page with English language exercises from the British Council, which should know one thing or two:

D Open your book at page 24.


However, to seems dominant on both sides of the Pond.
Well, (unfortunately) the usage of 'at page' in spoken (as well as written) English is very uncommon.
"at page" seems fine to me - certainly was used by my teachers in school.
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Feebs11"at page" seems fine to me - certainly was used by my teachers in school.
Same here. I had never heard "on page" before, though.

While we normally use "Open the book to Page 3", it actually means "open the book and turn the pages till you reach page 3"

However when the instruction is a command and is expected to be performed as a single actitvity , the more precise English is "open your Book at Page 3", meaning thereby that you complete the process of opening the book and now do what is intended at Page 3.

So I feel the context of what is to be done is more important and use of the appropriate preposition "at" or "to" is context sensitve
Is i t possible to say "open your books to page 3", or should I say "..........at page or ......on page"? Which one is the correct sentence? Thank you.

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