What is the type of decimal expansion 0.484848_____
?
Answers
HELLO DEAR,
GIVEN:-. decimal expansion
0.484848_____.
TO FIND:- What is the type of decimal expansion.
SOLUTION:- The expansion 0.484848____ is non- terminating and repeating decimal.
It is because 0.484848__ is continue ,so we call it non-terminating and here 48 is repeated ,so it is repeating.
Let x = 0.484848___
100x = 48.484848____
100x = 48.484848__
- x = 0.484848__
_____________________
99x = 48
x = 48/99.
It is rational form of above decimal expansion.
So, 48/99= 0.484848__ is the non-terminating and repeating decimal.
THANKS.
Given : decimal expansion 0.484848_____
To Find : What type of decimal expansion.
Solution:
types of decimal expansions
Terminating decimals - which has 2 or 5 only as factor in denominator.
3/2 = 1.5 , 2/5 = 0.5 4/10 = 0.4
Repeating Non Terminating decimals - which has also factor other than 2 or 5 in denominator
1/3 = 0.33333__
2/3 = 0.6666___
Non repeating non terminating decimal expansions are Irrational number like
√2 , √3 or π
0.484848_____ Repeating Non Terminating decimals
N = 0.484848_____
100N = 48.484848_____
=> 99N = 48
=> N = 48/99
=> N = 16/33
=> N = 16/(3 * 11)
factor other than 2 or 5 in denominator
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