Unit digit in Hindi :
Mathsmell maths tricks in hindi me aap ka swaght hain.Aaj iss post me hum sikhenge unit digits meaning ki bare me, ke number system me unit place digit hote kya hai aur isse related question ke solution kaise karte hai.iss post me aaj kuch aise sikhneko milege jiske help se aap unit place digit in number system se related sabhi question ke solution 5 second me kar sakte ho.
Aaj hum baat karenge number system ke ek important part unit place digit in Hindi ki bare me. Iss topics se related question bahut sare exam jaise bank , ssc cgl, ssc chsl, ipbs, mts aur bhi bahut sare state exam me puche jate hain.
For example: 34 ke unit digit 4 and 4567 ke unit digit 7.
Unit place digit kya hai bho hum jangaye but competitive exam me jo question puche jate hai bho kuch different type ki hote hain.Aaj hum appko unit place digit nikal ne ke two method ya unit digit tricks in hindi batayenge jiske help se aap sabhi question ko solve kar payenge.
For example:
Ex:1.Find the unit digit of ( 27 * 84).
Ans:- Sabse phele hume 27 and 84 ke unit digit ko multiply karna hoga.i.e. ( 7 * 4 ) = 28.Ab 28 ke unit digit he hoga original number ke unit digit.i.e. unit digit of ( 27 * 84 ) is ' 8 '.
Ex:2. Find the unit place digit of ( 207 * 381 * 29 * 84 ).
Ans:- 1. Sabhi number ke unit digit lekar multiply kare. ( 7 * 1 * 9 * 4 ) = ( 7 * 36 ) = ( 7 * 6 ) = 42. Yeha 42 ke unit digit 2. i.e. unit digit of ( 207*381*29*84 ) is ' 2 '.
Ex:3.Find the unit digit of ( 782*939*46*523 ).
Ans:- ( 782*939*46*523 )
= ( 2*9*6*3 ). [Product of unit digit of a numbers].
= ( 18*18 )
= ( 8 * 8 ) [product of unit digit of a number].
= 64 .
64 ka unit digit 4 hai.Therefore unit digit of ( 782*939*46*523 ) is 4.
Agar kisi number ki unit digit ' 1 ' hain to uss number ke power jo bhi ho unit digit hamesa ' 1 ' he haga. For example: unit digit of (11)^345 is '1' , unit digit of (41)^678 is '1'.
Agar kisi number ke unit digit '2' hua to unn number ki unit digit nikalne ke tarika
For example:
Ex:-1. Find the unit digit of (522)^64.
Soln:- First power 64 ko 4 se divide karo (64/4) = 16 any divide ho gaya.i.e. unit digit is 6.
Ex:-2. Find the unit digit of (572)^443.
Soln:- First 443 ko 4 se divide karna hogo.divide karne ke baad remainder 3 hoga.i.e. unit digit is 2^3 = 8.
Ex:-3. Find unit digit for 2^57.
Soln:- 57 ko 4 se divide kiye to remainder 1 milege i.e. unit digit = 2^1 = 2.
Agar kisi number ke unit place digit 3 hai to usse number ke unit digit nikalne ke tarika.
Agar kisi numbers ki unit place me 4 hai to unit digit questions solve karne ke tarika.Agar power even hua to unit digit 6 haga aur agar power odd hua to unit digit 4 hoga.
Ex:1.Unit digit for (124)^372.
Soln:- here power is even. i.e. unit digit is 6.
Ex:2 Unit digit for (124)^373.
Soln:- Here power is odd.i.e. unit digit is 4.
Agar kisi number ki unit digit 5 hai to unit digit of any power, unit digit always 5 hoga.For example unit digit for (25)^5454 is 5, unit digit for (85)^654 is 5.
Agar kisi number ki last digit 6 hain to bho number ke power koi v ho unit digit is always 6 hoga. For example unit digit for 6^59 is 6 and unit digit for (36)^567 = 6 .
Agar kisi number ke unit place digit 7 hai to usse number ke unit digit nikalne ke tarika.
For example;
Ex:1. Find unit digit for (27)^20.
Soln:- First power 20 ko 4 se divide kiye.20/4 = 5 divide ho gaya matlab unit digit is 1.
Ex:2.Find unit digit of 7^173.
Soln:- First 173/4 = 43 and remainder is 1.i.e. unit digit is 7^1 = 7.
Ex:3.find unit digit for 7^95.
Soln:- 95/ 4 = 23 and remainder is 3,therefore 7^3 = 343. i.e. unit digit is 3.
Agar kisi number ki unit place me 9 hain to unit digit of any power.agar power even hua to unit digit 1 hoga aur agar power odd hua to unit digit 9 hoga.
Uppar diye gaye unit digit calculation shortcut trick ko dhayan se study korenge to unit digit chapter ke koi bhi question ke jawab 5 second me de payenge.
I hope unit digit kaise nikale post ko pura padne ki baad apke unit place digit se related sari problem dur hojayegi fir bhi agar koi problem hua to comment karke jarur bataye.
Aaj hum baat karenge number system ke ek important part unit place digit in Hindi ki bare me. Iss topics se related question bahut sare exam jaise bank , ssc cgl, ssc chsl, ipbs, mts aur bhi bahut sare state exam me puche jate hain.
How to find unit digit of a number in hindi:
Unit digit kya hai in hindi:
Sabse phele hum janenge unit digit definition kya hain? to suru karte hain.Hum ek example se unit digit of a number ke bare me batarahahu. Sabse phele hum ek number lete hain 32. next hame '32' number ke unit digit nikalna he. koi bhi number me rights side me jo 1st digit rehte hai usse hum unit digit kehte hain. Iss hisab se '32' number ke right side me 1st digit hai ' 2 '. Iss hisab se 32 number ke unit digit hogaye 2.For example: 34 ke unit digit 4 and 4567 ke unit digit 7.
Kisi numbers ki unit digit kaise nikale:
Unit place digit kya hai bho hum jangaye but competitive exam me jo question puche jate hai bho kuch different type ki hote hain.Aaj hum appko unit place digit nikal ne ke two method ya unit digit tricks in hindi batayenge jiske help se aap sabhi question ko solve kar payenge.
Method1.
Number is given in the form of product of number.
Method2.
Number is given in the form of index.When number is given in the form of product:
Agar two three ye usse jada numbers product me hain aur usse number ke unit digit nikal ne ko kehrahe hain.To product ke unit digit find karne ke liye sabse phele apko sabhi number ki unit digit ko multiply karna hogo. Multiply karne ke baad jo number milege usse number ke unit digit, original numbers ke unit digit hoga.For example:
Ex:1.Find the unit digit of ( 27 * 84).
Ans:- Sabse phele hume 27 and 84 ke unit digit ko multiply karna hoga.i.e. ( 7 * 4 ) = 28.Ab 28 ke unit digit he hoga original number ke unit digit.i.e. unit digit of ( 27 * 84 ) is ' 8 '.
Ex:2. Find the unit place digit of ( 207 * 381 * 29 * 84 ).
Ans:- 1. Sabhi number ke unit digit lekar multiply kare. ( 7 * 1 * 9 * 4 ) = ( 7 * 36 ) = ( 7 * 6 ) = 42. Yeha 42 ke unit digit 2. i.e. unit digit of ( 207*381*29*84 ) is ' 2 '.
Ex:3.Find the unit digit of ( 782*939*46*523 ).
Ans:- ( 782*939*46*523 )
= ( 2*9*6*3 ). [Product of unit digit of a numbers].
= ( 18*18 )
= ( 8 * 8 ) [product of unit digit of a number].
= 64 .
64 ka unit digit 4 hai.Therefore unit digit of ( 782*939*46*523 ) is 4.
Uppar diye gaye unit digit trick se koi bhi large numbers ke multiplication ke unit digit nikal sakte hain.
When number is given in the form of index:
When unit digit is '0':
Agar koi number ke unit digit ' 0 ' hai to usse number ki koi bhi power ho unit digit hamesa ' 0 ' hoga. For example unit digit of (20)^9 is ' 0 '. unit digit of (450)^78 is ' 0 '.When unit digit is '1':
Agar kisi number ki unit digit ' 1 ' hain to uss number ke power jo bhi ho unit digit hamesa ' 1 ' he haga. For example: unit digit of (11)^345 is '1' , unit digit of (41)^678 is '1'.
When unit place digit is 2 :
Agar kisi number ke unit digit '2' hua to unn number ki unit digit nikalne ke tarika
- First Power ko '4' se divide kare.
- Divide ho gaye to unit digit '6' hoga aur agar puri tarah divide nahi hua to baki remainder ko 2 ke power me likke jo milege bhohe unit digit hoga.For example; agar remainder '1' hua to unit digit 2^1 = 2 , remainder '2' hua to unit digit 2^2 = 4 and remainder 3 hua to unit digit 2^3 = 8 hoga.
For example:
Ex:-1. Find the unit digit of (522)^64.
Soln:- First power 64 ko 4 se divide karo (64/4) = 16 any divide ho gaya.i.e. unit digit is 6.
Ex:-2. Find the unit digit of (572)^443.
Soln:- First 443 ko 4 se divide karna hogo.divide karne ke baad remainder 3 hoga.i.e. unit digit is 2^3 = 8.
Ex:-3. Find unit digit for 2^57.
Soln:- 57 ko 4 se divide kiye to remainder 1 milege i.e. unit digit = 2^1 = 2.
When unit place digit is 3:
Agar kisi number ke unit place digit 3 hai to usse number ke unit digit nikalne ke tarika.
- First power ko 4 se divide karo.
- Divide ho gaye to unit digit 1 hoga.
- Aur agar divide nahi hua to Divide karne ke baad jo remainder milege usse 3 ke power me likhe jo number milege uss number ke unit digit he hoga puri numbers ki unit digit.
When unit place digit is 4:
Agar kisi numbers ki unit place me 4 hai to unit digit questions solve karne ke tarika.Agar power even hua to unit digit 6 haga aur agar power odd hua to unit digit 4 hoga.
Ex:1.Unit digit for (124)^372.
Soln:- here power is even. i.e. unit digit is 6.
Ex:2 Unit digit for (124)^373.
Soln:- Here power is odd.i.e. unit digit is 4.
When unit place digit is 5:
Agar kisi number ki unit digit 5 hai to unit digit of any power, unit digit always 5 hoga.For example unit digit for (25)^5454 is 5, unit digit for (85)^654 is 5.
When unit place digit is 6:
Agar kisi number ki last digit 6 hain to bho number ke power koi v ho unit digit is always 6 hoga. For example unit digit for 6^59 is 6 and unit digit for (36)^567 = 6 .
When Unit Place digit is 7:
Agar kisi number ke unit place digit 7 hai to usse number ke unit digit nikalne ke tarika.
- First power ko 4 se divide karo.
- Divide ho gaye to unit digit 1 hoga.
- Aur agar divide nahi hua to Divide karne ke baad remainder milege usse 7 ke power me likhe jo number milege uss number ke unit digit he hoga numbers ki unit digit.
For example;
Ex:1. Find unit digit for (27)^20.
Soln:- First power 20 ko 4 se divide kiye.20/4 = 5 divide ho gaya matlab unit digit is 1.
Ex:2.Find unit digit of 7^173.
Soln:- First 173/4 = 43 and remainder is 1.i.e. unit digit is 7^1 = 7.
Ex:3.find unit digit for 7^95.
Soln:- 95/ 4 = 23 and remainder is 3,therefore 7^3 = 343. i.e. unit digit is 3.
When unit digit place digit is 8:
Agar kisi numbers ki unit place me 8 hai to unit digit questions solve karne ke tarika.Agar power even hua to unit digit 6 haga aur agar power odd hua to unit digit 8 hoga.When unit place digit is 9 :
Agar kisi number ki unit place me 9 hain to unit digit of any power.agar power even hua to unit digit 1 hoga aur agar power odd hua to unit digit 9 hoga.
Uppar diye gaye unit digit calculation shortcut trick ko dhayan se study korenge to unit digit chapter ke koi bhi question ke jawab 5 second me de payenge.
I hope unit digit kaise nikale post ko pura padne ki baad apke unit place digit se related sari problem dur hojayegi fir bhi agar koi problem hua to comment karke jarur bataye.
Sir, 8 ko again define kar do please. I think odd mein 6 hoga and even mein 8
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