Quants Shortcut tricks : Addition of Similar Digit Numbers
We will discuss some basic ideas of Addition. On the basis of these ideas we will learn trick and tips of shortcut addition. If you think that how to solve addition equations using addition shortcut tricks, then further studies will help you to do so.
What is Addition ?
Addition is combination of two or more numbers to find the total or sum of those numbers. Here in this page we will discuss some Methods of Addition Shortcut Tricks. Some Example of addition link has given below for your better understanding.
How Addition works?
3 + 2 = 5 Here first Digit which is 3 and second Digit 2 is added and the sum of those number is 5. Some additions looks big like 10 + 15 + 20 + 25 = 70. In this way the addition are performed and according with outcome result some time small or large. Furthermore we can add numbers in the following Shortcut ways.
Addition Shortcut Methods
Anything we learn in our school days was basics and that is well enough for passing our school exams. Now the time has come to learn for our competitive exams. For this we need our basics but also we have to learn something new. That’s where shortcut tricks are comes into action. Speed and accuracy are the key factor of addition problems. we learn faster and accuracy addition tricks which help you less time consuming then the normal addition methods. Now we will learn how to brush up our basic learning for competitive exams. Here we will show you some Addition shortcut tricks using Shortcut Methods. Which will help you to understand step by step through these given Examples.
Addition of number without Decimal:
Most of Addition we have face, some numbers consume time and create delay in calculation. Using this methods we can solve those problems quickly and easily in our mind. So let how addition works. Those numbers are like 13, 17, 19, 29, 39, 49, 59, 69, 79, 89, 99 …………………
Example #1 – Addition of Similar Digit
8+88+888+8888+88888 = ?
The result of the addition is 8+88+888+8888+88888 = 98760.
Shortcut Tricks
- Step 1 : Take 8 Common and Replace all 8 with 1. 8(1+11+111+1111+11111).
- Step 2 : Count number of digits in each number, i.e, 1=1(digit), 11=2(digit), 111=3(digit), 1111=4(digit), 11111=5(digit),
- and write down all digits together that is 12345.
- Step 3 : Multiply 8×12345 = 98760.
- The final result is 98760.
Example #2 – Addition of Similar Digit
3 + 33 + 333 + 33333 = ?
The result of the addition is 3 + 33 + 333 + 33333 = 33702.
Shortcut Tricks :
- ( 12345 x 3 ) – 3333 = 37035 – 3333= 33702
- The final result is 33702.
Example #3 – Addition of Similar Digit
5 + 55 + 555 + 55555 = ?
The result of the addition is 5 + 55 + 555 + 55555 = 56170.
Shortcut Tricks
- ( 12345 x 5 ) – 5555 = 61725 – 5555= 56170
- The final result is 56170.
Example #4 – Addition of Similar Digit
5+55+555 = ?
The result of the addition is 5+55+555 = 615.
Shortcut Tricks
- Step 1 : Take 5 Common and Replace all 5 with 1. 5(1+11+111).
- Step 2 : Count number of digits in each number, i.e, 1=1(digit), 11=2(digit), 111=3(digit) and write down all digits together that is 123.
- Step 3 : Multiply 5×123 = 615.
- The final result is 615.
Example #5 – Addition of Similar Digit
3+33+333+3333 = ?
The result of the addition is 3+33+333+3333 = 3702.
Shortcut Tricks
Step 1 : Take 3 Common and Replace all 3 with 1. 3(1+11+111).
- Step 2 : Count number of digits in each number, i.e, 1=1(digit), 11=2(digit), 111=3(digit),
- 1111=4(digit), and write down all digits together that is 1234.
- Step 3 : Multiply 3×1234 = 3702.
- The final result is 3702.
Example #6 – Addition of Similar Digit
7+77+777+7777+77777 = ?
The result of the addition is 7+77+777+7777+77777 = 86415.
Shortcut Tricks
- Step 1 : Take 7 Common and Replace all 7 with 1. 7(1+11+111+1111+11111).
- Step 2 : Count number of digits in each number, i.e, 1=1(digit), 11=2(digit),111=3(digit), 1111=4(digit), 11111=5(digit) and write down all digits together that is 12345.
- Step 3 : Multiply 7×12345 = 86415.
- The final result is 86415.
Example #7 – Addition of Similar Digit
9+99+999+9999+99999+999999 = ?
The result of the addition is 9+99+999+9999+99999+999999 = 1111104.
Shortcut Tricks
- Step 1 : Take 9 Common and Replace all 9 with 1. 9(1+11+111+1111+11111+111111).
- Step 2 : Count number of digits in each number, i.e, 1=1(digit), 11=2(digit), 111=3(digit), 1111=4(digit), 11111=5(digit), 111111=6(digit) and write down all digits together that is 123456.
- Step 3 : Multiply 9×123456 = 1111104.
- The final result is 1111104.
Example #8 – Addition of Similar Digit
6+66+666+6666+66666+666666 = ?
The result of the addition is 6+66+666+6666+66666+666666 = 740736.
Shortcut Tricks
- Step 1 : Take 6 Common and Replace all 6 with 1. 6(1+11+111+1111+11111+111111).
- Step 2 : Count number of digits in each number, i.e, 1=1(digit), 11=2(digit), 111=3(digit), 1111=4(digit), 11111=5(digit), 111111=6(digit) and write down all digits together that is 123456.
- Step 3 : Multiply 6 x 123456 = 740736.
- The final result is 740736.
Example #9 – Addition of Similar Digit
4+44+444+4444+44444+444444+4444444 = ?
The result of the addition is 4+44+444+4444+44444+444444+4444444 = 4938268.
Shortcut Tricks
- Step 1 : Take 4 Common and Replace all 4 with 1. 4(1+11+111+1111+11111+111111+1111111).
- Step 2 : Count number of digits in each number, i.e, 1=1(digit), 11=2(digit), 111=3(digit), 1111=4(digit), 11111=5(digit), 111111=6(digit) 1111111=7 and write down all digits together that is 1234567.
- Step 3 : Multiply 4 x 123457 = 4938268.
- The final result is 4938268.
Example #10 – Addition of Similar Digit
2+22+222+2222 = ?
The result of the addition is 2+22+222+2222 = 2468.
Shortcut Tricks
- Step 1 : Take 2 Common and Replace all 2 with 1. 2(1+11+111+1111).
- Step 2: Count number of digits in each number, i.e, 1=1(digit), 11=2(digit), 111=3(digit),1111=4(digit) and write down all digits together that is 1234.
- Step 3 : Multiply 2×1234 = 2468.
- The final result is 2468.
Thansk
