Fast multiplication tricks for 4 digit numbers by 2 digit numbers

Hello friend !! Aaj hum aapko sikhayenge ki, 4 digit number ka 2 digit number se multiply, fast multiplication tricks se kaise karte hai ? Hum jaante hai ki, kisi bhi 2 digit, 3 digit ke number ka other 2 digit, 3 digit ke number se multiply karna kitna adhik tough aur boring hota hai. Hum sabhi general tarike se multiplication karte hai. Jisme time bahot jaada lagata hai. Agar hume 4 digit ke number ka multiply 2 digit ke number se karna ho to ye aur bhi jaada kathin (tough ho jaata hai. Saath hi saath issme bhi time bahot lagata hai.
Aapki issi problem ko dur karne ke liye hum aapko ek shortcut trick sikhayenge. Jis se aap 4 digit number ka 2 digit number se fast aur easily multiply kar sakte hai. Ye trick bahot easy aur fast hai. Chaliye to iss trick ko sikh lete hai.

Fast multiplication tricks for 4 digit number by 2 digit number

Iss tricks ko karne ka ek pattern hai. Aapko issi pattern se sabhi question ko karna hota hai. Agar aap ek baar iss pattern ko apne mind me set kar liye to aap ko ye trick bahut easy lagega aur aapki multiplication fast hogi.

fast multiplication trick 4 digit number

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Fast Multiplication trick 4-digit by 2-digit number formula

Aapko ye shortcut multiplication trick achhe se aur fast samjh me aaye isliye humne iss ka formula banaya hai. Formula nichey diya gaya hai-:

Hum jaante hai ki, 4-digit ke number me one place (O₁), tens place (T₁), hundred place (H) aur Thousand place (Th) par number hote hai.
Jaise-: 4213 me one place (O₁) = 3, tens place (T₁) = 1, hundred place (H) = 2 aur Thousand place (Th) = 4
Issi prakar se 2-digit ke number me one place (O₂) aur tens place (T₂) par number hota hai.
Jaise-: 58 me one place (O₂) = 8 aur tens place (T₂) = 5

To iss trick ko nichey diye step se karna hai.

Step-1. (O₁)×(O₂)

Step-2. (O₁)×(T₂)+(T₁)×(O₂)

Step-3. (H)×(O₂)+(T₁)×(T₂)

Step-4. (Th)×(O₂)+(H)×(T₂)

Step-5. (Th)×(T₂)

Aapko kewal formula ko follow karna hai aur aap ye trick achhe se samjh jaayenge.

Ab aap soch rahe honge ki , ye formula Aapkp yaad kaise rahega ? To hum aapko batade ki iss formula ko Aapko yaad karne ki koi jarurat nahi hai. Kewal aap iss formula ke pattern ko samjh karke kam-se-kam 5 question ki practice kar lo to aapko iss formula ki jarurat nahi padegi.

Isliye hum aapse request karte hai ki , aap bhi ek pen and paper lekar humare saath-saath iss shortcut trick ki practice kariye.

To chaliye aapko ek simple sa question lekar iss multiplication shortcut trick sikhate hai.

Fast multiplication trick 4 digit multiply 2 digit ke 10 questions

#Q-1. 1211×22 = ??

Trick-: 1211 me (O₁) = 1, (T₁) = 1, (H) = 2 aur (Th) = 1 aur 22 me (O₂) = 2 aur (T₂) = 2

Step-1. (O₁)×(O₂) = 1×1 = 1

1211
×21

1

Step-2. (O₁)×(T₂) = 1×2 = 2

(T₂)×(O₁) = 1×1 = +1
3

1211
×21

31

Step-3. (H)×(O₂) = 2×1 = 2

(T₁)×(T₂) = 1×2 = +2
4
1211
×21

431

Step-4.  (Th)×(O₂) = 1×1 = 1
(H)×(T₂) =  2×2 =  +4
   5
1211
    ×21

5431

Step-5. (Th)×(T₂) = 1×2 = 2

1211
×21

25431 Ans.

#Q-2. 1321×14 = ??

Trick-: 1321 me (O₁) = 1, (T₁) = 2, (H) = 3 aur (Th) = 1 aur issi 14 me (O₂) = 4, aur (T₂) = 1

Step-1. (O₁)×(O₂) = 1×4 = 4

4 digit multiplication tricks by 2 digit number

Step-2. Ab hume cross multiply karke add (+) karna hai.
(O₁)×(T₂) = 1×1 = 1

(T₁)×(O₂) = 2×4 = +8
9

Step-3. Ab phir se cross multiply karke add karna hai.

(H)×(O₂) = 3×4 = 12

(T₁)×(T₂) = 2×1 = + 2
14
[ 4 note karenge aur 1 carry]

Step-4. Ab last baar cross multiply karke add karna hai.
(Th)×(O₂) = 1×4 = 4
(H)×(T₂) = 3×1 = +3
7+1 = 8

Step-5. (Th)×(T₂) = 1×1 = 1

#Q-3. 2416×28 = ??

Trick-: 2416 me (O₁) = 6, (T₁) = 1, (H) = 4 aur (Th) = 2 aur 28 me (O₂) = 8 aur (T₂) = 2

Step-1. (O₁)×(O₂) = 6×8 = 48
[8 note karenge aur 4 carry]

2416
×28

8

Step-2. (O₁)×(T₂) = 6×2 = 12

(T₁)×(O₂) = 1×8 = + 8
20+4 = 24
[ 4 note karenge aur 2 carry ]

2416
×28

48

Step-3. (H)×(O₂) = 4×8 = 32

(T₁)×(T₂) = 1×2 = + 2
34+2 = 36
[ 6 note karenge aur 3 carry ]

2416
×28

648

Step-4.  (Th)×(O₂) = 2×8 = 16
(H)×(T₂) =  4×2 = + 8
24+3 = 27
[ 7 note karenge aur 2 carry ]

2416
    ×28

7648

Step-5. (Th)×(T₂) = 2×2 = 4+2 = 6

2416
×28

67648 Ans.

#Q-4. 3210×31 = ??

Trick-: 3210 me (O₁) = 0, (T₁) = 1, (H) = 2 aur (Th) = 3 aur 31 me (O₂) = 1 aur (T₂) = 3

Step-1. (O₁)×(O₂) = 0×1 = 0

3210
×31

0

Step-2. (O₁)×(T₂) = 0×3 = 0

(T₁)×(O₂) = 1×1 = + 1
1

3210
×31

10

Step-3. (H)×(O₂) = 2×1 = 2

(T₁)×(T₂) = 1×3 = + 3
5
3210
×31

510

Step-4.  (Th)×(O₂) = 3×1 = 3
(H)×(T₂) =  2×3 = + 6
9
3210
    ×31

9510

Step-5. (Th)×(T₂) = 3×3 = 9

3210
×31

99510 Ans.

#Q-5. 4538×42 = ??

Trick-: 4538 me (O₁) = 8, (T₁) = 3, (H) = 5 aur (Th) = 4 aur 42 me (O₂) = 2 aur (T₂) = 4

Step-1. (O₁)×(O₂) = 8×2 = 16
[6 note karenge aur 1 carry]

4538
×42

6

Step-2. (O₁)×(T₂) = 8×4 = 32

(T₁)×(O₂) = 3×2 = + 6
38+1 = 39
[ 9 note karenge aur 3 carry ]

4538
×42

96

Step-3. (H)×(O₂) = 5×2 = 10

(T₁)×(T₂) = 3×4 = +12
22+3 = 25
[ 5 note karenge aur 2 carry ]

4538
×42

596

Step-4.  (Th)×(O₂) = 4×2  = 8
(H)×(T₂) =  5×4 = +20
28+2 = 30
[ 0 note karenge aur 3 carry ]

4538
    ×42

0596

Step-5. (Th)×(T₂) = 4×4 = 16+3 = 19

4538
×42

190596 Ans.

#Q-6. 5972×99 = ??

Trick-: 5972 me (O₁) = 2, (T₁) = 7, (H) = 9 aur (Th) = 5 aur 99 me (O₂) = 9 aur (T₂) = 9

Step-1. (O₁)×(O₂) = 2×9 = 18
[8 note karenge aur 1 carry]

5972
×99

8

Step-2. (O₁)×(T₂) = 2×9 = 18

(T₁)×(O₂) = 7×9 = +63
81+1 = 82
[ 2 note karenge aur 8 carry ]

5972
×99

28

Step-3. (H)×(O₂) = 9×9 = 81

(T₁)×(T₂) = 7×9 = +63
144+8 = 152
[ 2 note karenge aur 15 carry ]

5972
×99

228

Step-4.  (Th)×(O₂) = 5×9  = 45
(H)×(T₂) =  9×9 = +81
126+15 = 141
[ 1 note karenge aur 14 carry ]

5972
    ×99

1228

Step-5. (Th)×(T₂) = 5×9 = 45+14 = 59

5972
×99

591228 Ans.

#Q-7. 8956×96 = ??

Trick-: 8956 me (O₁) = 6, (T₁) = 5, (H) = 9 aur (Th) = 8 aur 96 me (O₂) = 6 aur (T₂) = 9

8956
×96

6

Step-2. (O₁)×(T₂) = 6×9 = 54

(T₁)×(O₂) = 5×6 = +30
84+3 = 87
[ 7 note karenge aur 8 carry ]

8956
×96

76

Step-3. (H)×(O₂) = 9×6 = 54

(T₁)×(T₂) = 5×9 = +45
99+8 = 107
[ 7 note karenge aur 10 carry ]

8956
×96

776

Step-4. (Th)×(O₂) = 8×6 = 48
(H)×(T₂) = 9×9 = +81
129+10 = 139
[ 9 note karenge aur 13 carry ]

8956
×96

9776

Step-5. (Th)×(T₂) = 8×9 = 72+13 = 85

8956
×96

859776 Ans.

#Q-8. 7784×65 = ?

Trick-: 7784 me (O₁) = 4, (T₁) = 8, (H) = 7 aur (Th) = 7 aur 65 me (O₂) = 5 aur (T₂) = 6

Step-1. (O₁)×(O₂) = 4×5 = 20
[0 note karenge aur 2 carry]

7784
×65

0

Step-2. (O₁)×(T₂) = 4×6 = 24

(T₁)×(O₂) = 8×5 = +40
64+2 = 66
[ 6 note karenge aur 6 carry ]

7784
×65

60

Step-3. (H)×(O₂) = 7×5 = 35

(T₁)×(T₂) = 8×6 = +48
83+6 = 89
[ 9 note karenge aur 8 carry ]

7784
×65

960

Step-4.  (Th)×(O₂) = 7×5 = 35
(H)×(T₂) =  7×6 = +42
77+8 = 85
[ 5 note karenge aur 8 carry ]

7784
    ×65

5960

Step-5. (Th)×(T₂) = 7×6 = 42+8 = 50

7784
×65

505960 Ans.

#Q-9. 6893×53 = ?

Trick-: 6893 me (O₁) = 3, (T₁) = 9, (H) = 8 aur (Th) = 6 aur 53 me (O₂) = 3 aur (T₂) = 5

Step-1. (O₁)×(O₂) = 3×3 = 9

6893
×53

9

Step-2. (O₁)×(T₂) = 3×5 = 15

(T₁)×(O₂) = 9×3 = +27
42
[ 2 note karenge aur 4 carry ]

6893
×53

29

Step-3. (H)×(O₂) = 8×3 = 24

(T₁)×(T₂) = 9×5 = +45
69+4 = 73
[ 3 note karenge aur 7 carry ]

6893
×53

329

Step-4.  (Th)×(O₂) = 6×3  = 18
(H)×(T₂) =  8×5 = +40
58+7 = 65
[ 5 note karenge aur 6 carry ]

6893
    ×53

5329

Step-5. (Th)×(T₂) = 6×5 = 30+6 = 36

6893
×53

365329 Ans.

#Q-10. 9265×77 = ??

Trick-: 9265 me (O₁) = 5, (T₁) = 6, (H) = 2 aur (Th) = 9 aur 77 me (O₂) = 7 aur (T₂) = 7

Step-1. (O₁)×(O₂) = 5×7 = 35
[5 note karenge aur 3 carry]

9265
×77

5

Step-2. (O₁)×(T₂) = 5×7 = 35

(T₁)×(O₂) = 6×7 = +42
77+3 = 80
[ 0 note karenge aur 8 carry ]

9265
×77

05

Step-3. (H)×(O₂) = 2×7 = 14

(T₁)×(T₂) = 6×7 = +42
56+8 = 64
[ 4 note karenge aur 6 carry ]

9265
×77

405

Step-4.  (Th)×(O₂) = 9×7  = 63
(H)×(T₂) =  2×7 = +14
77+6 = 83
[ 3 note karenge aur 8 carry ]

9265
    ×77

3405

Step-5. (Th)×(T₂) = 9×7 = 63+8 = 71

9265
×77

713405 Ans.

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Hum ye ummid karte hai ki , aapko aaj ka ye "4 digit number ka 2 digit number se multiply karne ka ye fast multiplication trick acche se samjh aaya hoga.
Agar aapko iss trick me koi problem hai ya kuch puchna hai to niche diye comment box me comment karke puch sakte hai. Hum aapki problem ko solve karne ki koshish jarur karenge.
Agar aapko mathematics me koi topic me problem hoti hai ya aap math me koi topic basic se sikhna chahte hai to uss topic ka naam hum jarur bataye .Hum aapki uss topic ko achhe se samjhyenge.
Agar aapko aaj ka multiplication shortcut tricks achha laga ho to please ek share jarur kare.