this article we will learn to multiply any numbers ( even with digits as large as , 7, 8 , or 12)

**Trick to Multiply by 111**

Suppose we have a number 748634 to be multiplied by 111. The rule is as follows

- The first digit of the number will be same i.e. 7
- The second digit will be 7 + 4 = 11 Since it is a 2 digit number 1 will carried to preceding number 1. So first digit will be 8 and second digit will 1 upto this stage
- The third digit will be 7 + 8 + 4 = 19 , keep 9 and take 1 to preceding digit so we have first 3 digits as 829
- The fourth digit will be (pl note this step) 4 + 8 + 6 (2nd + 3rd + 4rth) = 18, so now the first 4 digit will be 8308 as the 1 is carried forward and added to the 9 that become 1o and again 1 is carried forward
- The fifth digit will be 8 + 6 + 3 = 17 , 1 will be carried over and 5 digit will 83097
- The sixth digit will be 6 + 3 + 4 = 13, 1 will be carried forward and sixth digit will become 830983
- The seventh digit will be 3 + 4 = 7
- The eigth digit will be 4 itself so the answer will 83098374 You can check this will calulator itself, the solution looks tricky but it is quite simple

Summary of Trick: Keep the first digit and last digit same, keep adding the numbers in group of 3 except the ten digit number. Don’t forget to carry forward the numbers and add to the preceding numbers when it is more than 9 thats all. It will need a little bit of practice

**Trick to Multiply by 101**

Suppose we have same number 748634 to be multiplied by 101. The rule is as follows

- The first 2 digits in the answer is same 74
- The last 2 digit in the answer is same 34
- For the 3rd digit onward add the numbers to alternate numbers 7-4-8-6-3-4 , so add 7 + 8 = 15, 4 + 6 = 10, 8 + 3 = 11, 6 + 4 = 10
- For the third digit 7 +8 = 15, keep 5 and carry forward 1 so first 2 digit becomes 75 and 3 digits are 755
- For fourth digit use 4 +6= 10, keep 0 and carry forward 1 so 4 digit now becomes 7560
- For fifth digit take 8 +3 = 11, keep 1 and carry forward 1 then answer becomes 75611
- For sixth digit take 6 +4 =10 and carry forward 1 then answers becomes 756120

Just add last 2 digit to complete the answer 75612034

**Trick to Multiply by 1001**

Suppose we have same number 748634 to be multiplied by 1001. The rule is as follows

- The first 3 digit in answer is same i.e. 748
- For the fourth digit we need to add first digit to fourth one like 7 + 6 = 13 , then 4 + 3 = 7, then 8+4 = 12
- If you will note 0, 3, 4 are last digits and can’s be added in this way so we keep it as it is 034
- To form the answer fill in between last digits ( 634) and first digits (748) by 1382, 1 will be carried forward to be added to 748 will become 749 and let over number is 382
- So answer is 749, 382, 634