# Question - Real Numbers and Their Decimal Expansions

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ConceptReal Numbers and Their Decimal Expansions

#### 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.]

#### Solution

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