Question

What is period? What is period of the decimal 2.3636363.....?

Answer 1

the numbers repeating in decimal places(363636......)is called period.
period-3,6.
periodicity-the no.of digits repeating.
periodicity is (363636......)here,3,6 are repeating so periodicity is 2.

Answer 2

The period is the number of repeating digits in a decimal number. The period of 2.3636363..... is '2'. It is described below.

• The decimal period or simply the period of a repeating decimal can be defined as the number of digits, in the decimal number that repeat.
• For example, consider the repeating decimal $\frac{2}{3} =0.666666666......= 0. \bar 6$. Here, we can see that only 1 digit that is '6' is repeating, so, its decimal period is 1. Similarly, the decimal $\frac{1}{11} =0.0909090909......= 0. \bar {09}$ has period 2, as two digits (0 and 9) are repeating.
• Now, in 2.3636363... we can see the repeating digits are 3 and 6, and the number of repeating digits is two.
• Therefore, the period of the decimal 2.3636363..... is 2.

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