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# Maths year 11

1. (Original post by z_o_e)
How's this?

,
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What does it specify that it has been rounded to? Significant figures or decimal places?
2. (Original post by RDKGames)
What does it specify that it has been rounded to? Significant figures or decimal places?
Significant figures.

I wrote 345.5 this rounds to 350
And 350.0 this rounds to 350

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3. (Original post by z_o_e)
Significant figures.

I wrote 345.5 this rounds to 350
And 350.0 this rounds to 350

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Okay but how many s.f.?
4. (Original post by RDKGames)
Okay but how many s.f.?
3

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5. That makes it badly worded then. 3 s.f. of a number in the hundreds (100-999) would make it simply a rounding problem to the nearest integer.

You can reword it to "350 has been rounded to the nearest integer, find the upper and lower bounds"

The lower and upper bounds of 350 would be 349.5 and 350.5 as these limits will give 350; which is 350 to 3 s.f.
6. (Original post by RDKGames)
That makes it badly worded then. 3 s.f. of a number in the hundreds (100-999) would make it simply a rounding problem to the nearest integer.

You can reword it to "350 has been rounded to the nearest integer, find the upper and lower bounds"

The lower and upper bounds of 350 would be 349.5 and 350.5 as these limits will give 350; which is 350 to 3 s.f.
Yess. I knew it.i was struggling a lot :*(

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8. UB: 350.05 and LB: 349.95

Can you see how these will make it round to 350.00 when considering the first decimal place?
9. (Original post by RDKGames)
UB: 350.05 and LB: 349.95

Can you see how these will make it round to 350.00 when considering the first decimal place?
Yes I remember the 0.05 thing )

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10. (Original post by RDKGames)
UB: 350.05 and LB: 349.95

Can you see how these will make it round to 350.00 when considering the first decimal place?
So how are these overall?

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11. (Original post by z_o_e)
So how are these overall?

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All good.
12. (Original post by RDKGames)
All good.
Thank you could you give me one similar question to this Please

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13. (Original post by RDKGames)
All good.
Can you check this please?

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14. (Original post by z_o_e)
So how are these overall?

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RDKGames, are you sure that the UB of b) is correct? 350.0 doesn't sound much like the upper bound of 350, expressed to 3sf/nearest whole number. The lower bound, and the rest, are correct.
15. (Original post by K-Man_PhysCheM)
RDKGames, are you sure that the UB of b) is correct? 350.0 doesn't sound much like the upper bound of 350, expressed to 3sf/nearest whole number. The lower bound, and the rest, are correct.
Oh woops lol didn't notice that. It should indeed be 350.5. My eye didn't catch that out especially when she rubbed out the 5.
16. (Original post by z_o_e)
Can you check this please?

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Good.
17. (Original post by RDKGames)
Oh woops lol didn't notice that. It should indeed be 350.05. My eye didn't catch that out.
350.5, isn't it? It's to the nearest whole number / 3sf. Anyway, I'm being awfully pedantic, sorry.

z_o_e, another bounds question:

4)

(i) I have two pencils: one is 8cm long and the other is 12cm long, measured to the nearest cm. What are the upper and lower bounds of each of their lengths?

(ii) Using your answers from part (i), what is the greatest possible difference between their lengths?
18. (Original post by K-Man_PhysCheM)
350.5, isn't it? It's to the nearest whole number / 3sf. Anyway, I'm being awfully pedantic, sorry.
tfw edit doesn't work.
19. (Original post by K-Man_PhysCheM)
350.5, isn't it? It's to the nearest whole number / 3sf. Anyway, I'm being awfully pedantic, sorry.

z_o_e, another bounds question:

4)

(i) I have two pencils: one is 8cm long and the other is 12cm long, measured to the nearest cm. What are the upper and lower bounds of each of their lengths?

(ii) Using your answers from part (i), what is the greatest possible difference between their lengths?

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20. (Original post by RDKGames)
tfw edit doesn't work.
Haha, yeah, that must be annoying. Having read some of your posts, you are very good at explaining. I think I'll let you do the explaining (I think my explanations were too convoluted and confusing) but I'm going to keep posting questions for z_o_e if she asks for any more.

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