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Errors in Measurement

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by

Mr Mattock

on 12 May 2016

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Transcript of Errors in Measurement

Errors in Measurement
Starter
Think of a number that rounds to 2400 when rounded to 2 significant figures.

Can you think of a smaller one?

A bigger one?

Can you think of the smallest one?

The biggest one?
Writing errors
A length, l, is measured as 5.7 metres to 1 d.p.



(a) The largest possible error =



(b) the range of values that l could be is:
L.O. - To understand the errors in measurement and represent these errors using inequalities.
Writing errors
A length, l, is measured as 5.7 metres to 1 d.p.




(a) The largest possible error =
0.05 metres



(b) the range of values that l could be is:
5.65 < l < 5.75
Writing errors
A mass, m, is measured as 350 kilograms to the nearest 10kg.




(a) The largest possible error =
5 kg



(b) the range of values that l could be is:
345 < m < 355
Writing errors
A mass, m, is measured as 350 kilograms to the nearest 10kg.




(a) The largest possible error =



(b) the range of values that l could be is:
Main Activity 1
Complete the following table
A note on truncation
A person is 15 years old.


What is the maximum possible error in this statement?

The range of values the age can be is:

Main Activity 1
Complete the following table
Starter
Think of a number that rounds to 2400 when rounded to 2 significant figures.

Can you think of a smaller one?

A bigger one?

Can you think of the smallest one?
2350

The biggest one?
No, you cant
Key
examples

Activities
Activity
Answers

Worked
Example
Worked
Example
Worked
Example
5.7
5.65
5.75
350
345
355
A note on truncation
A person is 15 years old.


What is the maximum possible error in this statement?
364 days


The range of values the age can be is:

15 < A < 16
Plenary

Use inequalities to express the maximum error in truncating this number in the calculator:
Plenary

Use inequalities to express the maximum error in truncating this number in the calculator:
960000 < x < 969999
Full transcript