maths problem?

Question

a boy has a pen that is of length 10cm, measured to the nearest centimetre.
His pen case is of length 10.1m, measured to the nearest millimetre.

Explain why it might not be possible for him to fit the pen in the pen case.


(is it something to do with that the pen might be 10.49cm and the case might be 10.5?... if so how do i explain it)

Answer 1

the pen is 10 cm to the nearest cm
the case is 10.1 cm? to the nearest mm
there are 10 mm in one cm (the .1 is a mm)
so the pen could measure anywheres from 9.1cm - 10.9cm
the case is measured with more accuracy than the pen so there is variation on the possible measurment of the pen
if the pen is longer than 10.1 then it won't fin in the case

hope this helps

Answer 2

The pen case interior dimensions are smaller the pens exterior dimension.

You did not explain the interior dimensions of the pin case.

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