Question

convert the following rational no. into decimal and write the periods and their length. 1- 20/3​

Answer 1

Given :  1 -  20/3

To Find : Convert into Decimals

Solution:

1 -  20/3

= ( 3 - 20)/3

= -17/3

= - 5 - 2/3

= - 5 -0.66666....

= -5.66666

= $-5.\overline{6}$

1 -  20/3   = $-5.\overline{6}$

6 is repeated continuously hence

period of decimal = 6

length of its period = 1  

Periodicity   = 1

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