You know that 1/7 =0.142857 can You predict what the decimal expansion of 2/7,3/7,4/7,5/7,6/7 are without actually doing the long division?If so,how?

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Solution

1/7=.142857
2/7=2×1/7=.142857×2=.142857+.142857=.285714

similarly
3/7=3×1/7=.285714+.142857=.428571

please do simalarly all other
4/7=4×1/7=.42851+.142857
=.......

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Similar questions

Q. You know that

\frac{1}{7} = 0. 142857

. Find the decimal expansions of

\frac{2}{7}, \frac{3}{7}, \frac{4}{7}, \frac{5}{7}, \frac{6}{7}

are without actually doing the long division?

Q. You know that

\frac{1}{7} = 0. ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 142587

.Can you predict the decimal expansion of

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without actually doing the long division? If so, how?

Question 2
You know that $\frac{1}{7} = 0. ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 142587$ .Can you predict the decimal expansion of $\frac{2}{7}, \frac{3}{7}, \frac{4}{7}, \frac{5}{7}, \frac{6}{7}$ without actually doing the long division? If so, how?

Q. You know that

\frac{1}{7} = 0. 142857

. Can you predict what the decimal expansions of

\frac{2}{7}, \frac{5}{7}, \frac{6}{7},

are, without actually doing the long division? if so, how?

Q. You know that

\frac{1}{7} = 0. ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 142857

. Can you predict what the decimal expansions of

\frac{2}{7}, \frac{3}{7}, \frac{4}{7}, \frac{5}{7}, \frac{6}{7}

are, without actually doing the long division? If so, how? (Hint: Study the remainders while finding the value of

\frac{1}{7}

carefully.).

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You know that 1/7 =0.142857 can You predict what the decimal expansion of 2/7,3/7,4/7,5/7,6/7 are without actually doing the long division?If so,how?

1/7=.142857 2/7=2×1/7=.142857×2=.142857+.142857=.285714 similarly 3/7=3×1/7=.285714+.142857=.428571 please do simalarly all other 4/7=4×1/7=.42851+.142857 =.......

1/7=.142857
2/7=2×1/7=.142857×2=.142857+.142857=.285714

similarly
3/7=3×1/7=.285714+.142857=.428571

please do simalarly all other
4/7=4×1/7=.42851+.142857
=.......