Question

find the decimal expression 1/7 can you predict what the decimal expansions 2/7,3/7,4/7,5/7,6/7 without actual division if so,how??​

Answer 1

Answer:

0.857142

Step-by-step explanation:

We are given that 1/7 = 0.142857 or 1/7 = 0.142857...

. We need to find the values of 2/7,3/7,4/7,5/7, and 6/7 can be rewritten as 2 x 1/7, 3 x 1/7, 4 x 1/7, 5 x 1/7 and 6 x 1/7. On substituting value of 1/7 = as 0.142857..

On substituting value of 1/7 = as 0.142857.. , we get 

here the next steps are given in the image

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Answer 2

Yes, we can predict the decimal expansion without actually doing long division.

A.T.Q

1/7= 0.142857

( given)

2/7= 2 × 1/7 = 0.285714

2/7= 2 × 1/7 = 0.2857143/7 = 3x 1/7 = 0.428571

2/7= 2 × 1/7 = 0.2857143/7 = 3x 1/7 = 0.4285714/7 = 4x 1/7= 0.571428

2/7= 2 × 1/7 = 0.2857143/7 = 3x 1/7 = 0.4285714/7 = 4x 1/7= 0.5714285/7 = 5x 1/7= 0. 714285

2/7= 2 × 1/7 = 0.2857143/7 = 3x 1/7 = 0.4285714/7 = 4x 1/7= 0.5714285/7 = 5x 1/7= 0. 7142856/7 = 6x 1/7 = 0. 857142