Math, asked by sayandepatra9029, 1 year ago

Without actually performing divisions state 11/12 is terminating or non terminating decimal

Answers

Answered by Agastya0606
18

Given: The number 11/12

To find: Whether the given number is terminating or non terminating decimal.

Solution:

  • Now we have given the rational number 11/12.
  • Now for the number to be termination, the condition which needs to be satisfied is:
  • Denominator should be in the form of: 2^m x 5^n
  • Else the number is non terminating.
  • Now we have 12 in denominator of the given number.
  • Factors of 12 are 2 x 2 x 3 = 2^2 x 3^1
  • Now these factors are not in the form of 2^m x 5^n.
  • So the number is non terminating.

Answer:

         So the given number 11/12 is non terminating.

Answered by karthikdinesh200639
0

Answer:

12

11

=

4∗3

11

=

2

2

∗3

11

∴ The denominator can not be written in the form 2

n

5

m

.

12

11

has a non terminating repeating decimal form.

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