Exercise 1.3 Chapter 1 Number Systems Class 9 Maths NCERT RBSE CBSE

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Chapter 1 Number Systems Class 9 Maths NCERT
Exercise 1.3
1. write the following in decimal form and say what kind of decimal expansion each has :
2. You know that 1/7 = 0.142857 can you predict what the decimal expansions of 2/7, 3/7, 4/7, 5/7 , 6/7 are, without actually doing the long division? if so, how?
3. Express the following in the form p/q, where p and q are integers and q not equal to 0
(i) 0.66666666 (ii) 0.477777......... (iii) 0.001001001001.............
4. express 0.99999..... in the form p/q are you surprised by your answer ? with your teacher and classmates discuss why the answer makes sence.
5. what can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17 ? perform the division to check your answer.
6. look at several examples of rational numbers in the form p/q where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). can you guess what property q must satisfy ?
7. Write three numbers whose decimal expansions are non-terminating non-recurring.
8. find three different irrational numbers between the rational numbers 5/7 and 9/11.
9. classify the following numbers as rational or irrational.
(i) under root 23 (iii) under root 225 (ii) 0.3796
(iv) 7.478478....... (iv) 1.10100100010000............
व्यायाम १.३
1. निम्नलिखित को दशमलव रूप में लिखें और कहें कि प्रत्येक में किस प्रकार का दशमलव विस्तार है:
2. आप जानते हैं कि 1/7 = 0.142857 क्या आप अनुमान लगा सकते हैं कि 2/7, 3/7, 4/7, 5/7, 6/7 के दशमलव विस्तार वास्तव में लंबे विभाजन को किए बिना क्या हैं? यदि हां, तो कैसे?
3. फार्म पी / क्यू में निम्नलिखित व्यक्त करें, जहां पी और क्यू पूर्णांक हैं और क्यू 0 के बराबर नहीं है
(i) 0.66666666 (ii) 0.477777 ......... (iii) 0.001001001001 ............।
4. एक्सप्रेस 0.99999 ..... के रूप में p / q क्या आप अपने उत्तर से आश्चर्यचकित हैं? अपने शिक्षक और सहपाठियों के साथ चर्चा करें कि उत्तर को क्यों स्पष्ट किया जाता है।
5. 1/17 के दशमलव विस्तार में अंकों के दोहराव ब्लॉक में अधिकतम कितने अंक हो सकते हैं? अपने उत्तर की जांच करने के लिए विभाजन करें।
6. प्रपत्र p / q में तर्कसंगत संख्याओं के कई उदाहरण देखें जहां p और q 1 के अलावा कोई सामान्य कारक नहीं हैं और दशमलव निरूपण (विस्तार) को समाप्त कर रहे हैं। क्या आप अनुमान लगा सकते हैं कि संपत्ति q को क्या संतुष्ट करना चाहिए?
7. तीन नंबर लिखें जिनके दशमलव विस्तार गैर-आवर्ती गैर-आवर्ती हैं।
8. परिमेय संख्या 5/7 और 9/11 के बीच तीन अलग-अलग अपरिमेय संख्या ज्ञात कीजिए।
9. निम्नलिखित संख्याओं को तर्कसंगत या तर्कहीन के रूप में वर्गीकृत करें।
(i) रूट 23 के तहत (iii) रूट 225 (ii) 0.3796 के तहत
(iv) 7.478478 ....... (iv) 1.10100100010000 ............

[ramadharyadav]

But sir 1.3 ka first 1 ka 5 wala ka 11×22 =22 hoga vo thodi hoga 11 ×1hoga na sir

[depnaryangond]

Very nice sir math bhut badhiya sir samjate hai sir thanks you sir

[shreya]

Thanks sir video ke liya aap bhut achcha padha te है 😊❤❤

[mukeshrajak]

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[rakeshsharma]

Sir ji aapki wjh se kl mera maths paper accha jayega yhi chapter aayega 🙏🏻🙏🏻

[vartikasharma]

sir question no. 10 kae 4th irrational hae

[aakanshasingh]

Sir bht sari videos dekhi pr apka video dekh ke smjh aa gya sir...
Thank uh💯👍

[ramharimahanty]

Very good sir but you had a mistake in question 1 5 number have mistake 2/11 is ansher is 0.181

[pallavimishra]

Sir 1st main... 5th question is wrong.... 11x2 is 22 not 18..therefore the answer is terminating but repeating

[killerboys]

Sir there was mistake in Q1 (v) 😅😅😅 11 × 2=22 not 18 . 😅😢😢😅😅😅

[parthparmar]

Sir in exe 1.3 Q1 5 in this 11×2 =22
And answer is 0.18 repeating

[Lucky_gamer]

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[zinabhaipatel]

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[__enjoy__life__with__shubham]

Sar app to paper se display me aa gaye congress 🎉🎉🎉🎉

[jaivardhandutta]

Sir mujhe question 1 ka 5th question samajh nahi aaya please uski ek video bana do

[prabhjotsingh]

Sir aapne 2/11 vale ko galt cut kiya h

[FutureTheSkater]

Is anyone noticed sir and sir's mobile reflection🤨

[BeautySingh-nrvr]

Sir ex 1.3 ka question no 5 ka divide galat ha sir miss take ho gya ha aapsa 😅

[SudeshGhanghas]

Is video ko 2024 ma kon dekh raha hai

[sharvarimadane]

Guys best of luck for tomorrow's exam