Question

You know that 1÷7 = 0.142857 . 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?​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$\frac{1}{7} = 0.142857$

$\frac{2}{7 } = 2 \times \frac{1}{7} = 2 \times 0.142857$

$\frac{2}{7} = 0.285714$

$\frac{3}{7} = 3 \times \frac{1}{7} = 3 \times 0.142857 = 0.428571$

$\frac{4}{7} = 4 \times \frac{1}{7} = 4 \times 0.142857$

$\frac{4}{7} = 4 \times \frac{1}{7} = 4 \times 0.142857$

$\frac{4}{7} = 0.571428$

$\frac{5}{7} = 5 \times \frac{1}{7} = 5 \times 0.142857$

$\frac{5}{7} = 0.714285$

$\frac{6}{7} = 6 \times \frac{1}{7} = 6 \times 0.142857$

$\frac{6}{7} = 0.857142$

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