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Question

To extract the pollution-free fuel from the planet Ceria X-3, a pipe of length 12.1 metres is used. If the pipe has a valve at every 11 centimetres, the total number of valves would be ____.

A
11
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B
1100
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C
110
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D
121
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Solution

The correct option is C 110
Total length of the pipe = 12.1 metres.
The pipe has a valve at every 11 centimeters.

First, convert both the lengths to the same unit.


Converting metres to centimetres,
1 m=1×100 cm=100 cm.

So, 12.1 m=12.1×100 cm=1210 cm.

To find the total number of valves, divide 1210 by 11.

Therefore, rewrite the equation as 1210 cm÷11 cm.

1210 can be written as 100+200+10.

So, calculating 1210 cm÷11 cm using the box method,


Calculating the sum of the partial quotients, 90+10+10=110.

Hence, the final quotient is 110.

Therefore, the pipe has a total of 110 valves in it.

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