Multiplication Tricks

Multiplication of 4 and 3 digit numbers

By using six simple steps and we can find result.Let We have to multiply abcd X efg

STEP 1: Multiply 1's digit together. i.e d X g

STEP 2: Cross Multiply and add them.i.e c X g + d X f

STEP 3: Cross Multiply and add them.i.e b X g + d X e

STEP 4: Again Cross Multiply and add them.i.e a X g + c X e + b X f

STEP 5: Again Cross Multiply and add them.i.e a X f + b X e

STEP 6: Multiply 1000's digit of the 1st number and 100's digit of the second number.i.e a X e

Note that to carry whenever a product exceeds 9.only the leftmost part can have more than one digit. For the rest of the parts, we need to carry over the number preceding the units digit, to the immediate left part , and add it there respectively.

Lets see some examples:

Example 1: Find out 1429 X 234.

STEP 1: Multiply 1's digit (9×4)=36 [put the 6 as the 1's digit answer and carry 3 ]

STEP 2: (2 X 4 + 9 X 3 + 3)=38 [put the 8 as the 10's digit answer and carry 3 ]

STEP 3: (4 X 3 + 9 X 2 + 2 X 3 + 3)=43 [put the 3 as the 100's digit answer and carry 4 ]

STEP 4: (1 X 4 + 2 X 2 + 4 X 3 + 4)=24 [put the 4 as the 1000's digit answer and carry 2]

STEP 5: (1 X 3 + 4 X 2 + 2)=13 [put the 3 as the 1000's digit answer and carry 1]

STEP 6: Multiply 1000's digit of the first number and 100's digit of the second number and add carry. i.e (1 X 2 + 1)=3 [10000's digit answer]

STEP 7: Combine them 334486 is the answer.