中二數學問題求幫忙(10點)

2012-07-27 8:01 pm
Approximation and Errors

Find the Relative Percentage Maximum
error error absolute error

Measured
value
20m(correct to nearest m)

48.2g(correct to 1 decimal place)

$420(correct to the nearest ten)

53.0cm^2(correct to 3 significant figures)

0.18(correct to the nearest 0.01)

find the upper limit and lower limit

Numbers
617000(correct to the nearest thousand)

28.16(correct to 2 decimal places)

0.028(correct to 2 significant figures)

plz help me!!!
更新1:

有睇吾明的地方可以問!!! 知道答案的plz help!!!!!

回答 (1)

2012-08-09 7:21 am
✔ 最佳答案
U need 2 find relative error, percentage error, absolute error and maximum absolute error?

20m(correct to nearest m)
Absolute error=20-19.5
=0.5m
Maximum absolute error=1/2
=0.5m
Relative error= 0.5/20
=0.025
Percentage error=0.025x100%
=2.5%

48.2g(correct to 1 decimal place)
Absolute error=48.2-48.15
=0.05g
Maximum absolute error=0.1/2
=0.05g
Relative error= 0.05/48.2
=0.001 (correct to 3 decimal place)
Percentage error=0.001x100%
=0.1%

$420(correct to the nearest ten)
Absolute error=420-415
=$5
Maximum absolute error=10/2
=$5
Relative error=5/420
=1/84
Percentage error=1/84x100%
=1/4/21% or (25/21%)

53.0cm^2(correct to 3 significant figures)
Absolute error=0.1/2
=0.05cm^2
Maximum absolute error=0.1/2
=0.05cm^2
Relative error=0.05/53.0
=1/1060
Percentage error=1/1060x100%
=5/53%

0.18(correct to the nearest 0.01)
Absolute error=0.01/2
=0.005
Maximum absolute error=0.01/2
=0.005
Relative error=0.005/0.18
=1/36
Percentage error=1/36x100%
=2/7/9% or (25/9%)

617000(correct to the nearest thousand)
Maximum absolute error=1000/2
=500
Upper limit=617000+500
=617500
Lower limit=617000-500
=616500

28.16(correct to 2 decimal places)
Maximum absolute error=0.01/2
=0.005
Upper limit=28.16+0.005
=28.165
Lower limit=28.16-0.005
=28.155

Not enough words 2 type the last...

2012-08-08 23:25:20 補充:
The last one:

0.028(correct to 2 significant figures)
Maximum absolute error=0.001/2
=0.0005
Upper limit=0.028+0.0005
=0.0285
Lower limit=0.028-0.0005
=0.0275

Remember if u want people 2 ans many questions, can add more points ar~
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