Question

communicate the following in decimal form and write their period and periodicity 17/6​

Answer 1

3.333

Step-by-step explanation:

period is 3 and periodicity not defined (infinite)

Answer 2

Concept:

Period and periodicity of decimal number.

Period : The recurring part of non-terminating decimal is called its period.

Periodicity : The number of digits in recurring part of decimal is called its periodicity.

Given:

Given fraction is 17/6.

Find:

Decimal form of the fraction and its period and periodicity.

Solution:

17/6 = 17÷6

6 ) 17 (2.8333

    -12__

       50

      -48__

          20

         -18__

             20

            -18__

                20

               -18__

                   2  

Hence, 17/6 in decimal form = $2.83333------- = 2.8\bar 3$

So here, period of the decimal = 3

Periodicity of the decimal = 1

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