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Write the following in decimal form and...

Write the following in decimal form and say what kind of decimal expansion each has :(i) `(36)/(100)` (ii) `1/(11)` (iii) `4 1/(11)` (iv) `3/(13)` (v) `2/(11)` (iv) `(329)/(400)`

Text Solution

Verified by Experts

The correct Answer is:
N/a
(a) `(36)/(100)=0.36`
It is terminating decimal.
(b) `(1)/(11)`

`:." "(1)/(11)=0.090909 . . .=0.09`
It is non-terminating repeating decimal.
( c) `4(1)/(8)=(33)/(8)`

`:." "4(1)/(8)=4.125`
It is terminating decimal.
(d) `(3)/(13)`

`:." "(3)/(13)=0.230769230769 . . .0.bar(230769)`
It is non-terminating repeating decimal.
(e) `(2)/(11)`

`:." "(2)/(11)=0.1818 . . .=0.bar(18)`
It is non-terminating repeating decimal.
(f) `(329)/(400)`

`:." "(329)/(400)=0.8225`
It is terminating decimal.
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