These are the most frequently used multiplications in the arithmetic part of bank exams.
Multiplication with 9:(lets go with 12345*9)
Step1: Put 1 zero in the right side of given number.Then this number becomes 123450.
Step2: Subtract the given number from the number obtained in the first step.(That is 123450-12345=111105)
Hence the required answer is 111105
Lets go for one more example for better understanding.
Ex1: 458976*9=?
sol: 4589760-458976=4130784(is the answer)
Ex2: 58746*9=?
sol: 587460-58746=528714(is the answer)
Multiplication with 25:-
Step1: Put 2 zeros beside the given number.
Step2: Then divide the obtained number in step1 by 4.The quotient is the required product.
Ex1: 1256*25=?
sol: 125600/4=31400(is the answer)
Ex2: 98569*25=?
sol: 9856900/4=2464225(is the answer)
Multiplication with 125:-
Step1: Put 3 zeros beside the given number.
Step2: Then divide the obtained number in step2 by 8.The quotient is the required product.
Ex1: 5641287*125=?
sol: 5641287000/8=705160875(is the answer)
Ex2: 95412*125=?
sol: 95412000/8=11926500(is the answer)
Multiplication with 11:-
Step1: Start from the units place of given number.And write the units digit as it is in the answer.
Step2: Find the sum of the last 2 digits and write that sum as the tens digit in the final product.
Step3: Continue the process with summing the 2nd and 3rd digits from the right end till the last digit is reached.
Step4: Write the first digit from the question in the answer as it is.
Note: If the sum is a 2 digit number then write only the units digit and carry the tenth place digit to the left.You will get more clarity when you go through the below examples.
Ex1: 121324*11=?
sol: (1 as it is)(2+1=3)(1+2=3)(3+1=4)(2+3=5)(4+2=6)(4 as it is){look from right}
Hence the answer is "1334564".
Ex2: 123456*11=?
sol: (1 as it is)(2+1=3)(3+2=5)(4+3+1=8)(5+4+1=0,carry 1 to left)(6+5=1,carry 1 to left)(6 as it is){look from right end}
Hence the answer is 1358016.
Multiplication with 9:(lets go with 12345*9)
Step1: Put 1 zero in the right side of given number.Then this number becomes 123450.
Step2: Subtract the given number from the number obtained in the first step.(That is 123450-12345=111105)
Hence the required answer is 111105
Lets go for one more example for better understanding.
Ex1: 458976*9=?
sol: 4589760-458976=4130784(is the answer)
Ex2: 58746*9=?
sol: 587460-58746=528714(is the answer)
Multiplication with 25:-
Step1: Put 2 zeros beside the given number.
Step2: Then divide the obtained number in step1 by 4.The quotient is the required product.
Ex1: 1256*25=?
sol: 125600/4=31400(is the answer)
Ex2: 98569*25=?
sol: 9856900/4=2464225(is the answer)
Multiplication with 125:-
Step1: Put 3 zeros beside the given number.
Step2: Then divide the obtained number in step2 by 8.The quotient is the required product.
Ex1: 5641287*125=?
sol: 5641287000/8=705160875(is the answer)
Ex2: 95412*125=?
sol: 95412000/8=11926500(is the answer)
Multiplication with 11:-
Step1: Start from the units place of given number.And write the units digit as it is in the answer.
Step2: Find the sum of the last 2 digits and write that sum as the tens digit in the final product.
Step3: Continue the process with summing the 2nd and 3rd digits from the right end till the last digit is reached.
Step4: Write the first digit from the question in the answer as it is.
Note: If the sum is a 2 digit number then write only the units digit and carry the tenth place digit to the left.You will get more clarity when you go through the below examples.
Ex1: 121324*11=?
sol: (1 as it is)(2+1=3)(1+2=3)(3+1=4)(2+3=5)(4+2=6)(4 as it is){look from right}
Hence the answer is "1334564".
Ex2: 123456*11=?
sol: (1 as it is)(2+1=3)(3+2=5)(4+3+1=8)(5+4+1=0,carry 1 to left)(6+5=1,carry 1 to left)(6 as it is){look from right end}
Hence the answer is 1358016.
Multiplication shortcuts