ConceptReal Numbers and Their Decimal Expansions

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#### Question

You know that `1/7=0.bar142857.` Can you predict what the decimal expansions of `2/7, 3/7, 4/7, 5/7, 6/7` are, Without actually doing the long division? If so, how?

[Hint : Study the remainders while finding the value of `1/7` carefully.]

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#### Reference Material

Solution for concept: Real Numbers and Their Decimal Expansions. For the course CBSE