Lagnever AI English

Decimals ki tulna kaise karein?

Short mein jawab

Do decimals ki tulna ke liye unke digits baayein se sthaan dar sthaan milaao: units, phir tenths, phir hundredths. Jis pehle sthaan pe digits alag hon, wahi faisla karta hai, aur wahan bade digit waali sankhya badi hai, isliye 6.465 > 6.456. Number line pe bada decimal aur daayein hota hai. Daayein sire ke zero kuch nahi badalte.

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Number line pe decimals

Decimal 1.4 matlab 1 unit aur 4 tenths, isliye ye 1 aur 2 ke beech hai. Ise dikhane ke liye 1 se 2 ke gap ko 10 barabar hisson mein baanto aur 1 se 4 hisse gino. Nishaan 1.1, 1.2 aur aage 1.9 tak hain, aur 10va nishaan 2 hai.

Har chhota gap phir baanta ja sakta hai. 1 aur 1.1 ke beech hundredths ke 9 nishaan hain: 1.01, 1.02 aur aage 1.09 tak. Hundredths mein bani 5 se 5.4 ki line pe 5.1 se ek kadam pehle ka bindu 5.09 hai, 5.1 ke teen kadam baad ka 5.13, aur 5.3 ke ek kadam baad ka 5.31.

1 se 2 ki line tenths mein, 1 se 1.1 ka gap hundredths mein zoom kiya hua, aur 5 se 5.4 ki line pe A = 5.09, B = 5.13, C = 5.2 aur D = 5.31
Number line pe zoom karo

Zoom karna

4.185 jaisi teen decimal sthaanon waali sankhya dhoondhne ke liye ek-ek sthaan zoom karo. 0 se 10 ki line pe 4.185, 4 aur 5 ke beech hai. Us unit ko bada karke tenths mein baanto: sankhya 4.1 aur 4.2 ke beech hai. Us tenth ko bada karke hundredths mein baanto: ye 4.18 aur 4.19 ke beech hai. Thousandths mein ek baar aur baanto, aur 4.185 beech ka nishaan hai. Yahi kadam 9.876 (pehle 9 aur 10, phir 9.8 aur 9.9, phir 9.87 aur 9.88 ke beech) ya 0.407 ko dhoondhte hain.

Chaar number lines, har ek pichhli ke ek gap ka zoom: 0 se 10, 4 se 5, 4.1 se 4.2, aur 4.18 se 4.19 jisme 4.185 nishaan hai
4.185 dhoondhne ke liye zoom

Har number line unit ke tenths mein nahi baanti hoti. Agar 5 se 10 ka gap, jo 5 units hai, 10 barabar hisson mein baanta jaaye, to har hissa aadhi unit hai. Nishaan 5.5, 6, 6.5 aadi hain, isliye 5 ke baad 3ra nishaan 6.5 aur 5va 7.5 hai. Kisi nishaan ko padhne se pehle hamesha ek division ka maap nikaalo.

Zero ki uljhan

Sonu kehta hai ki 0.2 ko 0.20 ya 0.200 bhi likh sakte hain. Zara ko lagta hai ki daayein zero lagaane se value badal sakti hai. Place value table ye uljhan suljhaati hai: 0.2, 0.20 aur 0.200 teeno ke tenths sthaan pe 2 hai aur baaki kuch nahi, isliye ye barabar hain. Par 0.02 ka 2 hundredths sthaan pe aur 0.002 ka thousandths sthaan pe hai, isliye ye chhote hain: 0.2 sabse bada aur 0.002 sabse chhota.

0.2, 0.20, 0.200, 0.02 aur 0.002 ki place value table: pehle teeno 2 tenths hain
Kya extra zero decimal badalte hain?

Isliye 4.5, 4.05, 0.405, 4.050, 4.50, 4.005 aur 04.50 ki list mein barabar hain 4.5 = 4.50 = 04.50 aur 4.05 = 4.050, jabki 0.405 aur 4.005 akele hain.

Digit dar digit tulna

Kaun bada hai, 6.456 ya 6.465? Dono mein 6 units hain. Dono mein 4 tenths hain. Hundredths mein pehle ke paas 5 aur doosre ke paas 6 hai, isliye 6.465 bada hai, aur hum yahin ruk sakte hain. Aage ke digits ise kabhi nahi badal sakte: hundredths ke baad jo bhi aaye, sab milakar ek hundredth se kam hai, isliye poore ek hundredth ka farq poora nahi kar sakta. Poori sankhyaon ke liye bhi yahi niyam hai: sabse bade sthaan ke digits pehle milaao.

6.456 aur 6.465 ki sthaan dar sthaan tulna: units aur tenths barabar, aur hundredths mein 6 > 5
Kaun bada: 6.456 ya 6.465?

Tulna se pehle points ko line mein rakho. 13.800, 3.81 se bada hai, kyunki uske paas tens ka digit hai aur 3.81 ke paas nahi. 1.090, 1.009 se bada hai, kyunki dono pehli baar hundredths mein alag hote hain, jahan 9, 0 se bada hai. Zyaada digits waali sankhya hamesha badi nahi hoti: 2.05 < 2.5.

Sabse paas kaunsa decimal?

0.9, 1.1, 1.01 aur 1.11 mein se 1 ke sabse paas kaunsa hai? Kram mein ye 0.9 < 1 < 1.01 < 1.1 < 1.11 hain. 1 ke sabse nazdeeki padosi 0.9 hai, jo 1/10 door hai, aur 1.01, jo sirf 1/100 door hai, isliye 1.01 sabse paas hai. Isi list mein 1.09 ke sabse paas 1.1 hai, jo usse sirf 0.01 door hai.

1 ke aas-paas 0.9, 1.01, 1.1 aur 1.11 number line pe: 0.9 hai 0.1 door aur 1.01 sirf 0.01 door
1 ke sabse paas kaun?

Ye kyun zaroori hai

Daam, race ke samay aur naap roz decimals ki tarah milaaye jaate hain. Har sthaan ka matlab tenths aur hundredths mein samjhaaya gaya hai, aur jod-antar kaise nikaalte hain, ye decimals jodna aur ghataana mein. Har sawaal ka jawab, digit waali paheliyon samet, Chapter 3 ke NCERT solutions mein hai; poore Chapter 3 ke notes bhi dekho.

Practice karo

  1. Sabse bada kaunsa hai: 3.09, 3.9, 3.099 ya 3.19?

    1. (a) 3.09
    2. (b) 3.9
    3. (c) 3.099
    4. (d) 3.19
    Jawab dekho

    Jawab: (b) 3.9

  2. Inme se kaunsa 7.3 ke barabar hai?

    1. (a) 7.03
    2. (b) 7.300
    3. (c) 70.3
    4. (d) 7.003
    Jawab dekho

    Jawab: (b) 7.300

  3. 2 ke sabse paas kaunsa hai?

    1. (a) 1.9
    2. (b) 2.1
    3. (c) 2.02
    4. (d) 1.89
    Jawab dekho

    Jawab: (c) 2.02

  4. Number line pe 3 se 4 ka gap 10 barabar hisson mein baanta gaya hai. 7va nishaan kya hai, aur 7ve aur 8ve nishaan ke theek beech mein kya hai?

    Jawab dekho

    Jawab: 7va nishaan 3.7 hai. 3.7 aur 3.8 ke theek beech 3.75 hai: us tenth ko 10 hundredths mein baanto aur 5va lo.

  5. 5.06, 5.6, 5.066 aur 5.006 ko badhte kram mein likho.

    Jawab dekho

    Jawab: Sabme 5 units hain. Tenths mein 5.6 ke paas 6 hai aur baaki ke paas 0, isliye 5.6 sabse bada hai. Hundredths mein 5.006 ke paas 0 hai, sabse chhota. Phir 5.06 = 5.060 < 5.066. Isliye 5.006 < 5.06 < 5.066 < 5.6.

Students ke sawal

Do decimal sankhyaon ki tulna kaise karte hain?

Sabse bade sthaan ke digits se shuru karo. Barabar hon to ek sthaan daayein jaao aur phir milaao, aur tab tak chalte raho jab tak do digits alag na hon. Us sthaan pe bade digit waali sankhya badi hai. 1.009 aur 1.090 mein units aur tenths barabar hain, par 9 hundredths 0 hundredths se zyaada hai, isliye 1.090 bada hai.

Kya aakhir ke zero decimal badalte hain?

Nahi. 0.2, 0.20 aur 0.200 teeno ka matlab 2 tenths hai, kyunki extra zero sirf 0 hundredths aur 0 thousandths jodte hain. Point aur digit ke beech ke zero zaroor farq daalte hain: 0.02 matlab 2 hundredths aur 0.002 matlab 2 thousandths, isliye 0.2 > 0.02 > 0.002. 04.50 jaisa sabse baayein ka zero bhi kuch nahi badalta.

4.185 ko number line pe kaise dikhaate hain?

Kadam dar kadam zoom karo. 0 se 10 ki line pe 4 dhoondho. 4 se 5 ke gap ko 10 hisson mein baanto aur 4.1 se 4.2 waala tenth dhoondho. Use 10 mein baanto aur 4.18 se 4.19 dhoondho. Ek baar aur baanto: 4.18 aur 4.19 ke beech ke 10 chhote nishaanon mein 4.185 5va hai, theek beech mein.

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