HOW TO MULTIPLY TWO DIFFERENT NUMBERS IN FASTEST AND QUICKEST WAYS ~ Simplifying Reasoning, maths ncert class 12 solutions, logical reasoning questions with answers

Whenever we are to multiply two numbers then most of the time we undergo long calculations , and if we have to do easy calculation then we were lucky.

But what to do when we have to multiply two numbers in very short time. Suppose we have to multiply 32 with 11 then it is easy, because just put right most digit as it is and then increase every digit by one to left and at last put the left most digit as it is and put 352 as answer.

Example

If we are to multiply 65 with 43 Then

Step 1

Multiply right most digits with each other if result is less 10 then put it as right most digits of your answer and if result is greater than 10 then put unit place of result and carry forward the unit place to next step, as follows

In this case 5 * 3 =15 here 5 will considered and 1 will be carry forwarded to next step

HOW TO MULTIPLY TWO DIFFERENT NUMBERS IN FASTEST AND QUICKEST WAYS

Step 2

Add the carry forwarded number and multiplication of outermost and innermost numbers and then put unit place of result and carry forward the unit place to next step, as follows

(6*3) + ( 5*4) = 18+20 = 38

Now add carry forwarded number from previous step

38 + 1 = 39

Here 9 will considered and 3 will be carry forwarded to next step

Step 3

Now add the carry forwarded number to the product of left most numbers and put the result to the left of step 2 ‘s answer

6*4 = 24

Now add carry forwarded number 3 to 24 as follows

24 + 3 = 27

write here red coloured number from right to left while going bottom to top

NOW FINAL ANSWER IS 2795

Another Example

84 × 48

Step 1

Multiply unit places with each other 4×8=32

Write 2 as left most digit of answer and 3 as carry forwarded

Step 2

Multiply and add innermost and outermost numbers

Multiply 4 × 4 and 8 × 8 i.e 16 + 64 = 80

And add 80 + 3 = 83

Put 3 to the left of 2 as obtained in step 1 and carry forwarded 8 to next step

Step 3

Multiply 8 × 4 = 32 and add 8 to it , we get 40

consider red coloured digits.

So FINAL ANSWER is 4032

Last Example

98 × 76

Step 1

8 × 6 = 48 write 8 and carry as 4

Step 2

9 × 6 + 8 × 7 = 54 + 56 = 110

Add 4 to it 110 + 4 = 114

Write 4 and carry forwarded 11

Step 3

9×7 = 63

Add 11 to it 11 + 63 = 74

Final answer is 7448

Quick look at this Example 78×57 to Multiply two numbers quickly

Step 1

Multiply Right most digits 8 and 7 with each other to get product 56. So keep 6 as right most digits of answer and 5 as carry forward to next step.

Step 2

Now add the product of Outer most ( 7 with 7 ) and Inner most (8 with 5 ) digits ,and add the carry forwarded number from previous step 1. i.e. ( 7×7 ) + (8 ×5 ) = 49 + 40 = 89 + 5( Carry from previous step ) = 94. So keep 4 as second digit from right of answer and 9 as carry forward to next step.

Step 3

Now Multiply Left Most digits 7 and 5 to get product 35, Add the carry forwarded number 9 from previous step to 35 to get 44. Put this number 44 as 3rd and 4th digits from right of the answer.

So Final Answer will be 78 × 57 = 4446

Conclusion

This post was regarding short cut method of Multiplying two and digits Numbers , Please share your precious views on this topic, and follow me on my blog to boost me to perform better, we shall meet in the next post , till then BYE . If you liked this post , share it with your friends through social media site (Whats app , Facebook etc ).