Multiplication Tricks

Multiplication of 4 and 2 digit numbers

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

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

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

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

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

STEP 5: Multiply 100's digit together.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 1434 X 12.

STEP 1: Multiply 1's digit (4×2)=8 [put the 8 as the 1's digit answer ]

STEP 2: (3 X 2 + 4 X 1)=10 [put the 0 as the 10's digit answer and carry 1 ]

STEP 3: (4 X 2+ 3 X 1 + 1)=12 [put the 2 as the 100's digit answer and carry 1 ]

STEP 4: (1 X 2 + 4 X 1 + 1)=7 [put the 7 as the 1000's digit answer]

STEP 5: Multiply 1000's digit of the first number and 10's digit of the second number. i.e (1 X 1)=1 [10000's digit answer]

STEP 6: Combine them 17208 is the answer.

Example 2: Find out 1298 X 42.

STEP 1: Multiply 1's digit (8×2)=16 [put the 6 as the 1's digit answer and carry 1]

STEP 2: (9 X 2 + 8 X 4 + 1)=51 [put the 1 as the 10's digit answer and carry 5 ]

STEP 3: (2 X 2+ 9 X 4 + 5)=45 [put the 5 as the 100's digit answer and carry 4 ]

STEP 4: (1 X 2 + 2 X 4 + 4)=14 [put the 4 as the 1000's digit answer and carry 1]

STEP 5: Multiply 1000's digit of the first number and 10's digit of the second number and add carry. i.e (1 X 4 + 1)=5 [10000's digit answer]

STEP 6: Combine them 54516 is the answer.