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Answers
Answer:
1/7 = .142857142857142857···
2/7 = .285714285714285714···
3/7 = .428571428571428571···
4/7 = .571428571428571428···
5/7 = .714285714285714285···
6/7 = .8571428571428571
Answer:
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Step-by-step explanation:
1/7= 0.142857142857142857.....
The decimal expansion of 1/7 is non- terminating recurring.
The same six digits, in the same order, but with a different starting digit, also represent the fractions 2/7, 3/7, 4/7, 5/7, and 6/7.
In other words…
1/7 = .142857142857142857···
2/7 = .285714285714285714···
3/7 = .428571428571428571···
4/7 = .571428571428571428···
5/7 = .714285714285714285···
6/7 = .857142857142857142···
In addition, if you look at just the first two digits of each decimal: .14, .28, etc., you’ll see that they approximate 14 (7x2), 28 (7x4), 42 (7x6), 56 (7x8), 70 (7x10), and 84 (7x12). That’s because 7 x 14 = 98, which is very close to a power of ten (100, or 10 squared).
All of this together leads to one of the more fascinating numerical coincidences out there.