Question

Find the decimal form of 1 /8 with denominators as powers of 10 getting closer and closer to it.​

Answer 1

Answer:..

Step-by-step explanation: Given find the fractions with denominators powers of 10 getting closer and closer to it and hence write its decimal form of 1/8

Given fraction is 1/8

We can write this as 1/10 x 10/8

                      = 1/10 (1 + 2/8)

         1/8 = 1/10 + 2/80

              1/8 – 1/10 = 2/80

                                = 1/..

Therefore we get a fraction of denominator 10, close to 1/8

Now to get a fraction of denominator 100 close to 1/8

So 1/8 = 1/100 x 100 / 8

         = 1/100 (12 + 10/8)

1/8 = 12/100 + 10/800

1/8 – 12/100 = 1/800

Now to get a fraction of denominator 1000 close to 1/8

1/8 = 1/1000 x 1000 / 8

     = 1/1000 (120 + 100/8))

1/8 = 120/1000 + 100/8000

1/8 – 120/1000 = 1/80

Thus we get a fraction of denominator 1000 close to 1/8

The fractions 1/10, 15/100, 150/1000 gets closer to 1/8

Therefore 1/8 = 0.1666

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