5th Year Maths Homework Question

fez said:
Yep, so your range for the less than 48000 part would be 47950 > 47994
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No the range would be only factors of 10, anything else can be rounded to 10. I.e 47994 would be 47990. Rounded down. It has to be 47990 rounded up to 48000

You could have 47660 47770 47880 47990. Round up.
 
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ChroniC said:
No the range would be only factors of 10 or 100, anything else can be rounded to 10. I.e 47994 would be 47990. Rounded down. It has to be 47990 rounded up to 48000

You could have 47600 47700 47800 47900. Round up
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Huh, it wants a number that rounded to the nearest 1000 is 48000, rounded to the nearest 100 is still 48000 but rounded to the nearest 10 is not 48000.

47600 - to nearest 1000 is 48000, to nearest 100 is not 48000
47700 - same as above
47800 - same as above
47900 - same as above
 
It wants two numbers, right? 1 that is to the closest 100 and 1 that is to the closest 1000.

Anything above 47500 or below 48500 will be round to 48000 to the closest one thousand (like I said above) but anything ending in a 1,2,3,4,5,6,7,8,9 will be rounded to it's closest 10.
Same for closest 100, it would have to be below or above 47950 or 48050.
 
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ChroniC said:
It wants two numbers, right? 1 that is to the closest 100 and 1 that is to the closest 1000.
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It wants 2 numbers. You have to round each of your chosen numbers 3 times.

Round it to the nearest 1000, the answer must be 48000
Round it to the nearest 100, the answer must be 48000
Round it to the nearest 10, the answer must NOT be 48000
 
Eh? Isn't it just 4805 and 4794, for the closest numbers? And anything between them and 4849 and 4751 respectively.

So any number between 4805-4849 and 4794-4751.
 
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ChroniC said:
It wants two numbers, right? 1 that is to the closest 100 and 1 that is to the closest 1000.

Anything above 47500 or below 48500 will be round to 48000 to the closest one thousand but anything ending in a 1,2,3,4,5,6,7,8,9 will be rounded to it's closest 10.
Same for closest 100, it would have to be below or above 47950 or 48050.
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It wants 2 numbers, one that satisfies the conditions given but is over 48000 and the other that satisfies the conditions and is under 48000.

Both of those numbers must satisfy the following 3 conditions.

Rounding to nearest 1000 gives 48000
Rounding to nearest 100 gives 48000
Rounding to nearest 10 does not give 48000
 
Mr Joshua said:
I thought that too but as it asked not to do it for the nearest 10 I assumed they wanted 2 answers.

Do you know the answer yet OP?
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Yes, I think the wording might be confusing some people, although I thought it was quite clear.

Anyway, enough time has been wasted on this, I need to do some work. :(
 
touch said:
It wants 2 numbers. You have to round each of your chosen numbers 3 times.

Round it to the nearest 1000, the answer must be 48000
Round it to the nearest 100, the answer must be 48000
Round it to the nearest 10, the answer must NOT be 48000
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I read it as 2 numbers that need to be rounded to 4800 using a rounding of 1000 and a round of 100 but never reaching the nearest round of 10.
One of which is closest 1000 (which is basically anything 400 either side of 48000) and one which is closest 100 (which is 40 either side )
The numbers must not round to closest 10 (which means it cant end in 1,2,3,4,5,6,7,8,9)

LEaving you only these answer (1000) 47600 47700 47800 47900 or (50) 47960 47970 47980 47990 and then the opposite side of 48000 etc

I think that nearest ten bit is confusing me. Something about the way that's worded that doesn't make sense.
 
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ChroniC said:
I think that nearest ten bit is confusing me. Something about the way that's worded that doesn't make sense.
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That's because you're reading it wrong.
There's no such thing as a number that cant be rounded, just because it already ends in a 0 doesnt mean it doesnt round to the nearest 10.

The question says that when you do round your number to the nearest 10, the answer should not be 48000
 
fez said:
Yep, so your range for the less than 48000 part would be 47950 > 47994
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Isn't the range larger?

47500-47994 for under
48005-48400 for over

There are only 10 integers which cannot be used due to the tens rule.
47995
47996
47997
47998
47999
48000
48001
48002
48003
48004

Everything else from 47500 will round to 48000 by the hundreds and thousands no?

Edit nvm your range is correct.
 
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ChroniC said:
Yes one of which is closest 1000 (which is basically anything 400 either side of 48000) and one which is closest 100 (which is 40 either side )
The numbers must not round to closest 10 (which means it cant end in 1,2,3,4,5,6,7,8,9)

LEaving you only these answer (1000) 47600 47700 47800 47900 or (50) 47960 47970 47980 47990 and then the opposite side of 48000 etc

Surely?
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No :p

I'm not convinced you know how rounding works. Rounding to the closest 10 simply means that 0-4 rounds down and 5-9 rounds up.

Saying something must not equal 48000 rounded to the nearest 10 doesn't meant that it can't end in anything but a 0. 47994 rounded to the nearest 10 doesn't equal 48000. Neither does 47993, 47992, 47991

They are simply asking for 2 numbers.

One of these numbers must satisfy the following conditions:

Be greater than 48,000
Equal 48,000 when rounded to the nearest 1000.
Equal 48,000 when rounded to the nearest 100.
Not equal 48,000 when rounded to nearest 10.

The second of these numbers must satisfy the following conditions:

Be less than 48,000
Equal 48,000 when rounded to the nearest 1000.
Equal 48,000 when rounded to the nearest 100.
Not equal 48,000 when rounded to nearest 10.
 
asim18 said:
Everything else from 47500 will round to 48000 by the hundreds and thousands.
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It needs to be within 49 of the number in order to round to it in hundreds.

47501 for example, will round to 47500 as the nearest 100.

47551 will round to 47600
 
Ok, Ignore me. I have read the question tragically wrong.. :D The question reads to me, of not the nearest 10 of the number you supply, not 48000.
 
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PermaChanged said:
Can someone re-host the image so I can see it please? Filters at work....
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The image is just a picture of text, this is what it says:
Challenge! Write two numbers that round to 48 000 as the nearest 1000 and the nearest 100, but not the nearest 10. One must be less than 48 000 and the other must be greater.
Click to expand...
 
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