irrational number between 1 / 9 and 1 / 7
Answers
Answer:
1/9 = 0.1111111111........
1/7 = 0.1428571428.........
Irrational number between 1/9 and 1/7 is 0.11113857492729282.......
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Answer:
Irrational numbers between the given two rational numbers 1/9 and 1/7 are 0.1234..., 0.11327...., 0.136320...., 0.12472... , 0.135638.... etc. We can take any numbers between any two rational numbers.
Step-by-step explanation:
Irrational numbers: An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. The decimal expansion of an irrational number is non-terminating non-recurring.
Given: two fractions 1/9 and 1/7.
To find : the irrational numbers between 1/9 and 1/7.
Solution :
to find the irrational numbers between any two fractions , we need to divide the two fractions at first.
1/9 ⇒ 9 )1.00000 ( 0.1111 1/7 ⇒ 7)1.00000 (0.142857
9 7
10 30
9 28
10 20
9 14
10 60
9 56
1 40
1/9 = 0.1111..... ,which is non-terminating recurring. 35
50
49
1
1/7 = 0.142857...... , which is non-terminating recurring (repeating).
The given two fractions have non-terminating recurring type decimal expansion.
So ,1/9 and 1/7 are rational numbers .we can find infinite irrational numbers between them. That is decimal expansion of the type non-recurring non-terminating. Therefore we can take any number between these two rational numbers.
Irrational numbers between 1/9 and 1/7 are 0.1234......., 0.11327...., 0.136320......, 0.12472....., 0.135638..... ,etc.
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