Multiplication Tricks

Multiplication of 3 and 3 digit numbers

By using five simple steps and we can find result.Let We have to multiply abc X def

STEP 1: Multiply 1's digit together. i.e c X f

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

STEP 3: Again Cross Multiply and add them.i.e a X f + c X d + b X e

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

STEP 5: Multiply 100's digit together.i.e a X d

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 422 X 393.

STEP 1: Multiply 1's digit (2×3)=6 [put the 6 as the 1's digit answer ]

STEP 2: (2 X 3 + 2 X 9)=24 [put the 4 as the 10's digit answer and carry 3 ]

STEP 3: (4 X 3 + 2 X 3 + 2 X 3 + 2)=38 [put the 8 as the 100's digit answer and carry 3 ]

STEP 4: (4 X 9 + 2 X 3 + 3)=45 [put the 5 as the 1000's digit answer and carry 4 ]

STEP 5: Multiply 100's digit together and add carry. i.e (4 X 3 + 4)=16 [10000's digit answer]

STEP 6: Combine them 165846 is the answer.

Example 2: Find out 569 X 429.

STEP 1: Multiply 1's digit (9×9)=81 [put the 1 as the 1's digit answer and carry 8 ]

STEP 2: (6 X 9 + 9 X 2 + 8)=80 [put the 0 as the 10's digit answer and carry 8 ]

STEP 3: (5 X 9 + 9 X 4 + 6 X 2 + 8)=101 [put the 1 as the 100's digit answer and carry 10 ]

STEP 4: (5 X 2 + 6 X 4 + 10)=44 [put the 4 as the 1000's digit answer and carry 4 ]

STEP 5: Multiply 100's digit together and add carry. i.e (5 X 4 + 4)=24 [10000's digit answer]

STEP 6: Combine them 244101 is the answer.