Find three different irrational numbers between the rational numbers \(\frac{5}{7}\) and \(\frac{9}{11}\).
Solution and Explanation
\(\frac{5}{7}\) = \(\overline{0.714285}\)
\(\frac{9}{11}\) = \(\overline{0.81}\)
3 irrational numbers are as follows. 0.
073007300073000073…
0.75075007500075000075…
0.79079007900079000079…
Top Questions on Real Numbers and their Decimal Expansions
- Among \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}\) the non-terminating decimal is
- TS POLYCET - 2023
- Mathematics
- Real Numbers and their Decimal Expansions
Express the following in the form \(\frac{p }{ q}\) , where p and q are integers and q ≠ 0.
(i) 0.6(ii) 0.47 (iii) 0.001.
- CBSE Class IX
- Mathematics
- Real Numbers and their Decimal Expansions
Write the following in decimal form and say what kind of decimal expansion each has :
(i) \(\frac{36}{100}\) (ii) \(\frac{1}{11}\) (iii) \(4\frac{1}{8}\)
(iv) \(\frac{3}{13}\) (v) \(\frac{2}{11}\) (vi) \(\frac{329}{400}\)
- CBSE Class IX
- Mathematics
- Real Numbers and their Decimal Expansions
Classify the following numbers as rational or irrational :
(i) \(\sqrt23 \)
(ii) \(\sqrt225 \)
(iii) 0.3796
(iv) 7.478478...
(v) 1.101001000100001...
- CBSE Class IX
- Mathematics
- Real Numbers and their Decimal Expansions
- Write three numbers whose decimal expansions are non-terminating non-recurring.
- CBSE Class IX
- Mathematics
- Real Numbers and their Decimal Expansions
Questions Asked in CBSE Class IX exam
- Narrate two incidents that show how differences can be created, and also how they can be resolved. How can people change their attitudes?
- CBSE Class IX
- My childhood
(i) The kind of person the doctor is (money, possessions)
(ii) The kind of person he wants to be (appearance, ambition)- CBSE Class IX
- The snake and the mirror
- (i) His thoughts when he looks into the mirror
(ii) His thoughts when the snake is coiled around his arm- CBSE Class IX
- The snake and the mirror
- What are the main features of the mechanical teachers and the schoolrooms that Margie and Tommy have in the story?
- CBSE Class IX
- The fun they had
- What incidents during the Everest expedition show Santosh’s concern for her team-mates?
- CBSE Class IX
- Reach for the top