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# Remainders

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Intern
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Remainders [#permalink]  31 Jan 2012, 18:00
Hello,

I am working with Number Properties, but my strategy guide doesn't explain the simplicity of finding remainders when dealing with small numbers.

Example:

I know that $$21/10$$ leaves a remainder of 1, but what about $$3/4$$? How do I find a remainder when the divisor doesn't even go into the number once?

It escapes me right now. Thanks
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Joined: 24 Jul 2011
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GMAT 1: 780 Q51 V48
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Re: Remainders [#permalink]  31 Jan 2012, 19:04
The remainder when 3 is divided by 4 is simply 3. This is because 4 goes into 3 zero times, leaving a remainder of 3.

Another example - the remainder when 17 is divided by 19 is 17.
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Re: Remainders [#permalink]  31 Jan 2012, 19:13
Expert's post
rdevorse wrote:
Hello,

I am working with Number Properties, but my strategy guide doesn't explain the simplicity of finding remainders when dealing with small numbers.

Example:

I know that $$21/10$$ leaves a remainder of 1, but what about $$3/4$$? How do I find a remainder when the divisor doesn't even go into the number once?

It escapes me right now. Thanks

Positive integer $$a$$ divided by positive integer $$d$$ yields a reminder of $$r$$ can always be expressed as $$a=qd+r$$, where $$q$$ is called a quotient and $$r$$ is called a remainder, note here that $$0\leq{r}<d$$ (remainder is non-negative integer and always less than divisor).

Next, when divisor (4 in our case) is more than dividend (3 in our case) then the reminder equals to the dividend, so the remainder is 3: 3=4*0+3.

Another examples:
3 divided by 24 yields a reminder of 3 --> $$3=0*24+3$$;
or:
5 divided by 6 yields a reminder of 5 --> $$5=0*6+5$$.

Questions to practice:
PS questions on remainders: search.php?search_id=tag&tag_id=199
DS questions on remainders: search.php?search_id=tag&tag_id=198

Also check theory on remainders: compilation-of-tips-and-tricks-to-deal-with-remainders-86714.html

Hope it helps.
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Intern
Status: Beginner
Joined: 09 Jan 2012
Posts: 26
Location: United States (TX)
Followers: 1

Kudos [?]: 11 [0], given: 3

Re: Remainders [#permalink]  01 Feb 2012, 01:42
Oh! Thank you both. I appreciate the links for additional practice. I hadn't realized how to search for specific topics using tags yet, to get practice, but that is just excellent! Thank you!

Edit: Aaaaaand, discovered the workbook. My life has changed forever. Great Scott
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"Continuos effort - not strength or intelligence - is the key to unlocking our potential." - Winston Churchill

Re: Remainders   [#permalink] 01 Feb 2012, 01:42
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