Lagnever AI English

Decimals ka jod aur ghataav

Short mein jawab

Decimals jodne ya ghataane ke liye unhe columns mein aise likho ki decimal points ek line mein hon, yaani units ke neeche units, tenths ke neeche tenths aur hundredths ke neeche hundredths. Phir daayein se jodo ya ghataao, haasil aur udhaar bilkul poori sankhyaon jaise: 2.7 + 3.5 = 6.2 aur 3.5 − 2.7 = 0.8.

Koi sawal atak gaya? Photo lo, Lagnever AI step-by-step samjhayega. 7 din ka trial sirf ₹2. Google Play se app lo

Fractions se columns tak

Priya ko skirt ke liye 2.7 m kapda chahiye aur Shylaja ko kurti ke liye 3.5 m. Tenths mein 2 7/10 + 3 5/10 = 5 12/10, aur kyunki 12 tenths matlab 1 unit aur 2 tenths, kul 6 2/10 m hai. Decimals mein yahi jod columns mein hota hai: 7 tenths + 5 tenths = 12 tenths, 2 likho aur 1 unit haasil lo; phir 2 + 3 + 1 = 6 units. Jawab 6.2 m hai.

Shylaja ko kitna zyaada chahiye? 3 5/10 − 2 7/10 mein upar tenths kam hain, isliye ek unit ko 10 tenths mein badla jaata hai: 2 15/10 − 2 7/10 = 8/10. Columns mein 3.5 − 2.7: 1 unit ko 10 tenths ki tarah udhaar lo, 15 − 7 = 8 tenths, aur 2 − 2 = 0 units, to antar 0.8 m hai.

Points ek line mein rakhkar column jod aur ghataav: haasil ke saath 2.7 + 3.5 = 6.2, udhaar ke saath 3.5 − 2.7 = 0.8, aur 75.345 + 86.691 = 162.036
Decimal points ek line mein

Column ka tareeka kyun chalta hai

483 + 268 jodne ka matlab hai hundreds ko hundreds se, tens ko tens se aur ones ko ones se jodna: 600 + 140 + 11, jo regroup hokar 751 banta hai. Decimals mein bas sthaan zyaada hain. 15 3/10 4/100 + 2 6/10 8/100 mein units 17, tenths 9/10 aur hundredths 12/100 bante hain. Kyunki 10 hundredths ek tenth hain, 12/100 = 1/10 + 2/100, tenths 10/10 = 1 ban jaate hain, aur jod 18 2/100, yaani 18.02 hai. Decimal points ko line mein rakhna hi har sthaan ko apni jagah rakhta hai.

75.345 + 86.691 ko sthaan dar sthaan dekho. Thousandths: 5 + 1 = 6. Hundredths: 4 + 9 = 13, isliye 3 likho aur 1 tenth haasil lo. Tenths: 3 + 6 + 1 = 10, isliye 0 likho aur 1 unit haasil lo. Units: 5 + 6 + 1 = 12, 2 likho aur 1 ten haasil lo. Tens: 7 + 8 + 1 = 16. Jod 162.036 hai.

Udhaar ke saath ghataav

653 − 268 mein ones kam hon to ek ten udhaar lete hain, aur tens kam hon to ek hundred. Decimals bhi aise hi chalte hain. 84.691 − 77.345 mein thousandths 1 − 5 ke liye hundredths se udhaar chahiye: 11 − 5 = 6, phir 8 − 4 = 4 hundredths aur 6 − 3 = 3 tenths. Units 4 − 7 ke liye tens se udhaar chahiye: 14 − 7 = 7, aur 7 − 7 = 0 tens. Antar 7.346 hai.

Jab sankhyaon ki lambaai alag ho, to pehle khaali sthaanon mein zero likho. 17 − 0.05 ban jaata hai 17.00 − 0.05 = 16.95, aur 34.505 − 18.1 ban jaata hai 34.505 − 18.100 = 16.405. Decimal ke daayein sire pe zero lagaane se uski value kabhi nahi badalti.

Decimal sequences

4.4, 4.8, 5.2, 5.6, 6.0 mein har term pichhle se 0.4 zyaada hai, isliye agle teen 6.4, 6.8 aur 7.2 hain. Sequences neeche bhi ja sakte hain: 5, 4.95, 4.90 mein har kadam 0.05 ghataata hai, isliye pattern 4.85, 4.80, 4.75 aage badhta hai. Inhe mann mein hal karna haasil aur udhaar ki achhi practice hai.

Hisaab se pehle andaaza

Sonu ka daava hai ki do decimals ka jod hamesha unke poore hisson ke jod se zyaada, aur us jod plus 2 se kam hota hai. 25.936 + 8.202 ke liye daava kehta hai ki jawab 25 + 8 = 33 aur 25 + 1 + 8 + 1 = 35 ke beech hai. Jod 34.138 hai, to daava sahi hai. Ye har jode ke liye sahi hai, kyunki har decimal hissa kam se kam 0 aur 1 se kam hai, isliye dono milkar 2 se kam jodte hain. 25.93603259 + 8.202 = 34.13803259 bhi isi daayre mein hai.

32 se 36 ki number line pe 25.936 aur 8.202 ka jod 33 aur 35 ke beech hona chahiye, aur wo 34.138 hai
Pehle andaaza

Antar ko bhi aise hi gher sakte ho. Agar poore hisse A aur B hain, to antar A − B − 1 aur A − B + 1 ke beech hota hai. 84.691 − 77.345 ke liye ye 6 aur 8 ke beech hai, aur jawab 7.346 isme fit hai.

Point ka dhyaan

Point ki chhoti galti bahut mehngi pad sakti hai. 2013 mein Amsterdam City Council ke finance office ne €1.8 million ki jagah lagbhag €188 million housing benefits mein bhej diye, kyunki uske software ne cents mein likhi rakam ko euros maan liya. 1983 mein Air Canada ke ek plane mein kilogram ki jagah pound se hisaab karke fuel bhara gaya, use zaroorat ka lagbhag aadha hi fuel mila, aur ek band pade airfield pe emergency landing karni padi; sab log bach gaye. Dawa ke 0.05 mg ko 0.5 mg padhna das guna zyaada dawa hai.

Kuch sankhyaayein sirf decimal jaisi dikhti hain. 4.5 ghante matlab 4 ghante aur 30 minute, kyunki ghante ka 0.5 matlab 6-6 minute ke 5 hisse. 2 ft 5 in naapa gaya darwaaza 2.5 ft nahi hai, kyunki 0.5 ft matlab 6 inch. Cricket mein 5.5 overs matlab 5 overs aur 5 balls, kyunki ek over mein 6 balls hoti hain. 10.30 jaise ghadi ke samay, 15.08 jaisi taareekh aur 2.10 jaise version number bhi aise hi udaaharan hain.

Dopahar ke 4.5 ghante baad 4:30 p.m., 2.5 ft ka darwaaza 2 ft 6 in, aur 5.5 overs matlab 5 overs aur 5 balls
Inhe dhyaan se padho

Ye kyun zaroori hai

Bills, naap aur score, sabme decimal jod sahi chahiye. Har digit ka matlab tenths aur hundredths mein samjhaaya gaya hai, aur kaunsa decimal bada hai, ye decimals ki tulna mein. Decimals ka guna aur bhaag baad mein Part 2 Chapter 4, Another Peek Beyond the Point, mein aata hai. Har sawaal ka jawab Chapter 3 ke NCERT solutions mein hai; poore Chapter 3 ke notes bhi dekho.

Practice karo

  1. 4.75 + 2.6 kitna hai?

    1. (a) 7.35
    2. (b) 6.81
    3. (c) 7.81
    4. (d) 7.36
    Jawab dekho

    Jawab: (a) 7.35

  2. 12 − 0.25 kitna hai?

    1. (a) 11.75
    2. (b) 11.25
    3. (c) 12.25
    4. (d) 0.13
    Jawab dekho

    Jawab: (a) 11.75

  3. 3.2, 3.5, 3.8, … mein aage kya aayega?

    1. (a) 3.9
    2. (b) 4.1
    3. (c) 4.0
    4. (d) 3.11
    Jawab dekho

    Jawab: (b) 4.1

  4. Bina poora jode, 18.7 + 6.45 kin do poori sankhyaon ke beech hai?

    Jawab dekho

    Jawab: Ye 18 + 6 = 24 se zyaada aur 18 + 1 + 6 + 1 = 26 se kam hai. Asli jod, 25.15, sach mein 24 aur 26 ke beech hai.

  5. Scoreboard pe 7.3 overs dikh raha hai. Kitni balls daali ja chuki hain?

    Jawab dekho

    Jawab: 7 overs aur 3 balls, kyunki point ke baad ka digit 6 mein se balls ginta hai. Yaani 7 × 6 + 3 = 45 balls, over ke 7 aur 3 tenths nahi.

Students ke sawal

Decimals kaise jodte hain?

Sankhyaon ko ek ke neeche ek likho, decimal points ek column mein, taaki har digit apne hi sthaan ke digit ke neeche aaye. Daayein se jodo, column 10 tak pahunche to 1 haasil lo, bilkul poori sankhyaon jaise, aur jawab mein point usi column mein rakho. Jaise 75.345 + 86.691 = 162.036.

Alag-alag digits waale decimals kaise ghataate hain?

Khaali sthaanon mein zero bhar do taaki dono sankhyaon mein point ke baad barabar digits hon; decimal ke daayein sire ke zero value nahi badalte. Phir daayein se column dar column ghataao, zaroorat ho to udhaar lo. 17 − 0.05 ke liye 17.00 − 0.05 likho, jo 16.95 hai.

Decimal jod jaldi kaise jaanchein?

Pehle andaaza lagaao. Do decimals ka jod unke poore hisson ke jod se zyaada aur us jod plus 2 se kam hota hai, kyunki har decimal hissa 1 se kam hai. 25.936 + 8.202 ka jod 33 aur 35 ke beech hona chahiye, aur wo 34.138 hai. Is daayre ke bahar ka jawab galat hai.

Koi sawal atak gaya?

Photo lo, Lagnever AI step-by-step samjhayega. 7 din ka trial sirf ₹2.

Google Play se app lo Browser mein kholo

Parents ke liye: trial ke baad plan har mahine UPI ya card autopay se renew hota hai. App mein kabhi bhi cancel kar sakte hain.