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A stick has a length of 12.132cm and ano...

A stick has a length of `12.132cm` and another stick has a length of `12.4cm`.
If the two sticks are placed end to end, what is their total length?
If the two sticks are placed side by side , what is the difference in their lengths?

Text Solution

Verified by Experts

(a) Let lengths of the sticks are names as `1_(1) = 12.132 cm, 1_(2) = 12.4 cm`
Here `I_(2)` has one decimal place and `I_(1)` has to be rounded off to have only two decimal places
`I_(1) + I_(2) = 12.13 + 12.4 = 24.53`.
This is to be rounded off to have one decimal place only.
`therefore` The total length is 24.5cm
(b) `I_(1) = 12.132 , I_(2) = 12.4 . I_(1) -I_(2) = 12.4 - 12.132`
Here `12.4` has only decimal place and hence `12.132` should have only two decimal places.
`therefore I_(1) - I_(2) = 12.-12.13 = 0.27`
This should be rounded off to have only one decimal place.
`therefore I_(1) - I_(2) = 0.3`
Hence difference of their lengths is 0.3cm
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