1. Multiplication of two 2 digit numbers
12*23
Follow these steps for numbers that do not return carryover,
| Step 1 | Multiply the last digits of both the numbers (2*3=6) |
| Step 2 | Cross multiply the digits of both numbers and add the cross multiplication (1*3+2*2=7) |
| Step 3 | Multiply the first digits of both the numbers (1*2=2) |
Multiplication of 12 & 23 results to 276
Multiplication of 2 digit numbers
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57*23
Follow these steps in case of carryovers,
| Step 1 | Multiply the last digits of both the numbers (7*3=21) [Carryover 2 to step 2) |
| Step 2 | Cross multiply the digits of both numbers and add the cross multiplication (5*3+7*2=29)[Carryover 3 to step 3) |
| Step 3 | Multiply the first digits of both the numbers (5*2=10) |
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2. Multiplication of any 3 digit numbers
103*213
Follow these steps for numbers that do not return carryover,
| Step 1 | Multiply the last digits of both the numbers (3*3=9) |
| Step 2 | Cross multiply the last 2 digits of both the numbers and add the cross multiplication (0*3+3*1=3) |
| Step 3 | Cross multiply first & last digits as well as multiply the middle digits of both the numbers and add the results (1*3+0*1+3*2=9) |
| Step 4 | Cross multiply the first 2 digits of both the numbers and add the cross multiplication (1*1+0*2=2) |
| Step 5 | Multiply the first digits of both the numbers (1*2=2) |
Multiplication of 103 & 213 results to 21939
879*686
Follow these steps in case of carryovers,
| Step 1 | Multiply the last digits of both the numbers (9*6=54) [Carryover 5 to Step 2] |
| Step 2 | Cross multiply the last 2 digits of both the numbers and add the cross multiplication (7*6+9*8=114). [Carryover 11 to Step 3] |
| Step 3 | Cross multiply first & last digits as well as multiply the middle digits of both the numbers and add the results (8*6+7*8+9*6=158) [Carryover 16 to Step 4] |
| Step 4 | Cross multiply the first 2 digits of both the numbers and add the cross multiplication (8*8+6*6=106). [Carryover 12 to Step 5] |
| Step 5 | Multiply the first digits of both the numbers (8*6=48) |
Multiplication of 879 & 686 results to 602994
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3. Multiplication of any two digit number with 11
25*11
Follow these steps for numbers that do not return carryover,
| Step 1 | Separate the numbers as 2_5 |
| Step 2 | Add both digits & place the sum in the middle i.e. 2+5=7 |
The answer is 275.
75*11
Follow these steps in case of carryovers,
| Step 1 | Separate the numbers as 7_5 |
| Step 2 | Add 7+5=12. Add carryover to the first digit i.e. 7+1=8 |
The answer is 825.
Multi 2 digit with 11
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4. Multiplication of any number with 11
672827*11
| Step 1 |
Add 0 to the extreme right digit. Then add each digit to the respective preceding digit as below, 7+0=7 |
Multiplication of 672827 & 11 results to 7401097.
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