0.6
(11 0.47
9
4. Express 0.99999 .... in the form L. Are you surprised by your answer? With
teacher and classmates discuss why the answer makes sense.
5. What can the maximum number of digits be in the repeating block of digits in
decimal expansion of ? Perform the division to check your answer.
17
+
6. Look at several examples of ratiotal numbers in the form ? (q=0), where p and qui
9
integers with no common factors other than 1 and having terminating decima
representations (expansions). Can you guess what property q must satisfy?
7. Write three numbers whose decimal expansions are non-terminating non-recurring
윽
8. Find three different irrational numbers between the rational numbers
5 9
and
7 11
9. Classify the following numbers as rational or irrational :
(1) 23
(iii) 0.3796
(7178278
nun
(ii) 225
(v) 1.101001000100001...
ma
one
Answers
Answer:
\pink{\bold{\underline{ ✪ UPSC-ASPIRANT✪ }}}✪UPSC−ASPIRANT✪
\red{\bold{\underline{\underline{QUESTION:-}}}}QUESTION:−
Q:-
if \: c = \frac{a}{b} - \frac{d - e}{f - d}ifc=ba−f−dd−e
Find the value of f when a=3,b=4,c=-6,d=-5 & e=2
\huge\tt\underline\blue{Answer }Answer
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️
════════════XXX═════════════
⟹ - 6 = \frac{3}{4} - \frac{( - 5) - 2}{f - ( - 5)}⟹−6=43−f−(−5)(−5)−2
⟹ - 6 = \frac{3}{4} - \frac{( -7)}{f + 5}⟹−6=43−f+5(−7)
⟹ - 6 = \frac{3}{4} + \frac{7}{f + 5}⟹−6=43+f+57
⟹ - 6 - \frac{3}{4} = \frac{7}{f + 5}⟹−6−43=f+57
⟹ \frac{ - 24 - 3}{4} = \frac{7}{f + 5}⟹4−24−3=f+57
⟹ - \frac{27}{4} = \frac{7}{f + 5}⟹−427=f+57
⟹ - 27(f + 5) = 28⟹−27(f+5)=28
⟹ - 27f - 135 = 28⟹−27f−135=28
⟹ - 27f = 28 + 135⟹−27f=28+135
⟹ - 27f = 163⟹−27f=163
⟹f = \frac{163}{ - 27}⟹f=−27163
∴f = - \frac{163}{27}f=−27163
════════════XXX═════════════
HOPE IT HELPS YOU..
_____________________
Thankyou:)