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Suitable degree of accuracy

Would this get me full marks? I’m not sure what it means by “considering bounds”.
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Reply 1
Original post by Y11_Maths
Would this get me full marks? I’m not sure what it means by “considering bounds”.
E0515D9F-0CC1-4DDC-93CE-CC7906F35CB7.jpg.jpeg

No this isn't right. You first need to find the upper and lower bounds of p. Have a go at that and post what you get.
Original post by Notnek
No this isn't right. You first need to find the upper and lower bounds of p. Have a go at that and post what you get.


Upp bound= 1.6840....
Low bound=1.6769....
Reply 3
Original post by Y11_Maths
Upp bound= 1.6840....
Low bound=1.6769....

That's correct but make sure you write down all the digits you see on the calculator display.

So this means that the real value of p has to lie between 1.6769... and 1.6840...

A different example : if you had for p

LB = 54.2734...
UB = 54.2825...

Then to 2sf they both round to 54 so you could say p = 54 (2sf) but you can do better since to 3sf they both round to 54.3. Checking 4sf the LB rounds to 54.27 and UB rounds to 54.28 so you don't know whether the real value of p rounds to 54.27 or 54.28.

So to a suitable degree of accuracy, the value of p is 54.3 (3sf).

Try doing a similar thing for your question.
Original post by Notnek
That's correct but make sure you write down all the digits you see on the calculator display.

So this means that the real value of p has to lie between 1.6769... and 1.6840...

A different example : if you had for p

LB = 54.2734...
UB = 54.2825...

Then to 2sf they both round to 54 so you could say p = 54 (2sf) but you can do better since to 3sf they both round to 54.3. Checking 4sf the LB rounds to 54.27 and UB rounds to 54.28 so you don't know whether the real value of p rounds to 54.27 or 54.28.

So to a suitable degree of accuracy, the value of p is 54.3 (3sf).

Try doing a similar thing for your question.


Yeah I just didn’t want to type all the digits to save time. So is P=1.68 (3sf) since they both round to this? Also can I erase my statement since it’s pointless?
Reply 5
Original post by Y11_Maths
Yeah I just didn’t want to type all the digits to save time. So is P=1.68 (3sf) since they both round to this? Also can I erase my statement since it’s pointless?

Yes that's right. Your complete working including the statement was wrong for this question. You got lucky that your final answer was correct but you wouldn't have got any marks.

This is a common type of question for GCSE by the way. Make sure you try as many specimen/practice papers as possible so you're ready for any question.
Original post by Notnek
Yes that's right. Your complete working including the statement was wrong for this question. You got lucky that your final answer was correct but you wouldn't have got any marks.

This is a common type of question for GCSE by the way. Make sure you try as many specimen/practice papers as possible so you're ready for any question.


I am thanks :smile:
Evaluate8.3×0.050.908Give your answer to a suitable degree of accuracy.
Original post by Y2_UniMaths
Would this get me full marks? I’m not sure what it means by “considering bounds”.
E0515D9F-0CC1-4DDC-93CE-CC7906F35CB7.jpg.jpeg

nope

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