Lagnever AI English

Decimals ka bhaag

Short mein jawab

Decimals ka bhaag long division se karo, ek baar mein ek place. Jab ones khatm ho jaayein, bache hue ko tenths, phir hundredths mein badlo aur quotient mein point lagao: 1325 ÷ 4 = 331.25. Agar divisor decimal ho, to dono numbers ko 10, 100 ya 1000 se guna karo: 4.68 ÷ 0.13 = 468 ÷ 13 = 36.

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10, 100 aur 1000 se bhaag

Anuja 3.9 m ribbon ko 10 barabar tukdon mein kaatti hai. Fractions mein 3.9 ÷ 10 = 39/10 × 1/10 = 39/100, isliye har tukda 0.39 m hai. 100 tukdon mein har tukda 3.9 ÷ 100 = 0.039 m hai, yaani 3.9 cm ya 39 mm. Har baar point utni jagah baayein jaata hai jitne divisor mein zero hain, aur zaroorat ho to aage zero lagte hain: 0.13 ÷ 100 = 0.0013.

Bhaag ek equivalent fraction ki tarah

Neenu 29 m ribbon Anu ke saath barabar baantti hai. Dono ko 14 m milta hai, aur aakhri 1 m aadha hota hai: 1/2 = 5/10 = 0.5, isliye har ek ko 14.5 m milta hai. Chaar doston mein baantne pe har ek ko 29/4 m milta hai. Kyunki 4 × 25 = 100, upar aur neeche 25 se guna karo: 29/4 = 725/100 = 7.25 m. Is trick ke liye denominator ko 10, 100 ya 1000 banaana padta hai (Class 6 ke equivalent fractions dohra lo). 10/3 ke liye ye nahi chalta, kyunki 10, 100 ya 1000 mein se koi bhi 3 ka multiple nahi hai, isliye hamein aisa tareeka chahiye jo hamesha chale.

Point ke aage long division

Long division ek baar mein ek place baantta hai, sabse badi se shuru karke. 1325 ÷ 4 mein: 13 hundreds ÷ 4 = 3 hundreds, 1 hundred bacha; wo hundred 10 tens bana, to 12 tens ÷ 4 = 3 tens; phir 5 ones ÷ 4 = 1 one, 1 one bacha. Counting numbers mein hum remainder 1 pe ruk jaate. Iski jagah 1 one ko 10 tenths mein badlo aur quotient mein decimal point lagao. Phir 10 tenths ÷ 4 = 2 tenths, 2 tenths bache, aur wo 20 hundredths ÷ 4 = 5 hundredths. Isliye 1325 ÷ 4 = 331.25.

1325 ka 4 se long division place headings ke saath, 1 one ko 10 tenths banakar point lagaate hue, jisse 331.25 milta hai
1325 ÷ 4 = 331.25
1 one ke 10 tenths 4 bachchon mein bante hain, phir bache 2 tenths ke 20 hundredths, isliye har ek ko 0.25
1 one ko 4 mein baantna

Yahi kadam 237 ÷ 8 = 29.625 dete hain: 23 tens ÷ 8 = 2 tens, 77 ones ÷ 8 = 9 ones, phir 50 tenths ÷ 8 = 6, 20 hundredths ÷ 8 = 2 aur 40 thousandths ÷ 8 = 5.

Decimal dividend

Agar dividend mein pehle se decimal hissa ho, to isi tarah bhaag do aur ones se tenths pe jaate hi point lagao. 9.5 kg cheeni ko 4 thailon mein barabar bharna: 9 ones ÷ 4 = 2, 1 bacha; 15 tenths ÷ 4 = 3, 3 bache; 30 hundredths ÷ 4 = 7, 2 bache; 20 thousandths ÷ 4 = 5. Har thaile mein 2.375 kg. Chhote numbers bhi chalte hain: 0.06 ÷ 5 = 0.012.

Decimal divisor

126 ÷ 2.5 ban jaata hai 1260 ÷ 25 = 50.4, 4.68 ÷ 1.3 ban jaata hai 46.8 ÷ 13 = 3.6, aur 4.68 ÷ 0.13 ban jaata hai 468 ÷ 13 = 36
Divisor ko counting number banao

Ravi 2.5 ghante mein 126 km jaata hai, isliye uski average speed 126 ÷ 2.5 hai. Kyunki 2.5 = 25/10, isse bhaag dena 10/25 se guna karne jaisa hai, isliye 126 ÷ 2.5 = 1260 ÷ 25 = 50.4 km prati ghanta. Aam taur pe, divisor aur dividend dono ko ek hi 10, 100 ya 1000 se guna karo taaki divisor counting number ban jaaye, phir hamesha ki tarah bhaag do: 4.68 ÷ 0.13 = 468 ÷ 13 = 36.

Chhota ya bada quotient?

128 ki tulna 128 ÷ 4 = 32, 128 ÷ 1 = 128 aur 128 ÷ 0.4 = 320 se karti patti
Chhota ya bada quotient?

1 se bade number se bhaag dene pe quotient dividend se chhota hota hai: 128 ÷ 4 = 32. 1 se bhaag dene pe kuch nahi badalta. Par 0 aur 1 ke beech ke number se bhaag dene pe wo bada hota hai: 128 ÷ 0.4 = 320, kyunki 0.4, 128 mein 128 se zyaada baar samaata hai.

Kabhi na khatm hone waale quotient

Kuch bhaag kabhi poore nahi hote. 10 ÷ 3 mein har kadam pe 1 bachta hai, isliye 10 ÷ 3 = 3.333… bina ant ke. 1 ÷ 7 mein remainders 1, 3, 2, 6, 4, 5 aur phir dobara 1 aate hain, isliye digits chhe ke chakra mein dohraate hain: 0.142857 142857….

1 ÷ 7 ke remainders 1, 3, 2, 6, 4, 5 ek gol ghere mein, aur quotient ke digits 1, 4, 2, 8, 5, 7
1 ÷ 7: remainders ghoomte hain

Ye kyun zaroori hai

Baantna, average speed aur prati kilogram daam, sab decimals ke bhaag hain. Decimals ka guna dohrao, phir leap year aur decimals dekho. Textbook ke sawaalon ke jawab Part 2 Chapter 4 ke NCERT solutions mein hain; poore Part 2 Chapter 4 ke notes dekho.

Practice karo

  1. 7.2 ÷ 100 kitna hai?

    1. (a) 720
    2. (b) 0.72
    3. (c) 0.072
    4. (d) 0.0072
    Jawab dekho

    Jawab: (c) 0.072

  2. 3 ÷ 8 kitna hai?

    1. (a) 0.375
    2. (b) 2.6
    3. (c) 0.38
    4. (d) 3.75
    Jawab dekho

    Jawab: (a) 0.375

  3. Kis bhaag ka quotient 6.3 ÷ 0.7 ke barabar hai?

    1. (a) 63 ÷ 7
    2. (b) 6.3 ÷ 7
    3. (c) 63 ÷ 0.07
    4. (d) 0.63 ÷ 7
    Jawab dekho

    Jawab: (a) 63 ÷ 7

  4. 2.5 m ribbon ko 4 bachchon mein barabar baanto.

    Jawab dekho

    Jawab: 2.5 ÷ 4: 2 ones 4 mein nahi bante, isliye unhe 20 tenths banao; 5 tenths milakar 25 tenths. 25 tenths ÷ 4 = 6 tenths, 1 tenth bacha = 10 hundredths; 10 hundredths ÷ 4 = 2, 2 bache = 20 thousandths; 20 ÷ 4 = 5. Har ek ko 0.625 m milega.

  5. Kya 100 ÷ 11 khatm hota hai? Ye kitna hai?

    Jawab dekho

    Jawab: Nahi. 9 ke baad remainders 1, 10, 1, 10 waghairah aate hain, isliye digits 0 aur 9 baari baari hamesha aate hain: 100 ÷ 11 = 9.0909…

Students ke sawal

Decimal ko poore number se kaise bhaag dete hain?

Hamesha ki tarah long division karo, sabse badi place se shuru karke. Ones se tenths pe jaate waqt quotient mein decimal point lagao, phir bache hue ko agli chhoti place mein badalte raho. Jaise 9.5 ÷ 4 = 2.375.

Decimal se bhaag kaise dete hain?

Divisor ko 10, 100 ya 1000 se guna karke counting number banao, aur dividend ko bhi usi number se guna karo. Quotient nahi badalta. Jaise 126 ÷ 2.5 = 1260 ÷ 25 = 50.4.

1 ÷ 7 kabhi khatm kyun nahi hota?

Is bhaag mein har remainder 7 se chhota hai, aur yahan kabhi 0 nahi hota, isliye wo sirf 1 se 6 ho sakta hai. Chhe kadmon ke andar koi remainder zaroor lautta hai, aur uske baad wahi kadam dohraate hain. Remainders 1, 3, 2, 6, 4, 5 aate hain, isliye digits 142857 hamesha dohraate hain.

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