Find the nuncber whose 6 1/7 % is 12
Answers
Answered by
0
Answer:
search-icon-image
Class 9
>>Maths
>>Number Systems
>>Real Numbers and their Decimal Expansion
>>You know that 1/7 = 0. 142...
Question
Bookmark
You know that
7
1
=0.
142857
. Can you predict what the decimal expansions of
7
2
,
7
3
,
7
4
,
7
5
,
7
6
are, without actually doing the long division? If so, how? (Hint: Study the remainders while finding the value of
7
1
carefully.).
Medium
Solution
verified
Verified by Toppr
Given,
7
1
=0.
142857
.
Then,
7
2
=2×
7
1
=2×0.
142857
=0.
285714
7
3
=3×
7
1
=3×0.
142857
=0.
428571
7
4
=4×
7
1
=4×0.
142857
=0.
571428
7
5
=5×
7
1
=5×0.
142857
=0.
714285
7
6
=6×
7
1
=6×0.
142857
=0.
857142
Here, the first digit in the decimal expansion continued in the repeated numbers afterwards.
Similar questions