Mathematics Shortcut Tricks For Addition 

Today Shortcuts Tricks are very important to solve the matters. so we use here Mathematics Shortcut Tricks For Addition. In competition exams we have limited amount of time to solve the question papers. so there we use the shortcut tricks to solve our questions. If we don't use the shortcut tricks to solve the question papers then we can't qualify the exams.

Here in this blog we use the some Mathematics Shortcut Tricks which is very helpful to qualify the competative exams. Here we are discuss the Addition , Multiplication and Division Mathematics Shortcut Tricks.

Mathematics Shortcut Tricks For Addition



 Now Let Start

1) ADDITION


5 + 2 = 7 here first digit which is 5 and second digit 2 is added and sum of those numbers is 7 . Some addition look big like 15+20+45 =80. In this way addition are performed and according with outcome result sometime large. so we can add numbers in the following shortcut ways.

a)  Addition of Similar Digit Numbers       
 Example 1  :- 7 + 77 +777 +7777 + 77777 ?
Shortcut Trick
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 x 12345 = 86415.
The Final Result is 86415.

Example 2  :- 7 + 77 +777 + 77777 ?
Shortcut Trick
Step 1: Take 7 common and replace all 7 with 1.
  7(1 + 11 + 111 + 11111)
Step 2 : Count number of digits in each number.
i.e.  1= 1(digit) , 11 = 2(digit) , 111 = 3(digit) , 11111 = 5(digit)
and write down all digits together that is 1235
Step 3 : Here 7 with four digits is missing. keep this in mind and add an imaginary 4 in between 3 and 5. So, the number became 12345
Step 4 : Multiply 7 x 12345 = 86415.
Step 5 : As we add an imaginary 4 , now we need to subtract 7777 from the result.
i.e. 86415 - 7777 = 78638
The Final Result is 78638.

Solve Some Exercise Questions for your Practice
1)  8 + 88 + 888 + 8888 + 88888 = ?
2)  3 + 33 + 333 + 33333 =?
3)  5 + 55 + 555 = ?
4)  2 + 22 + 222 + 2222 =?
5)  9 + 99 + 999 + 9999 + 99999 + 999999 =?
Answer:-
1) 98760
2) 33702
3) 615
4) 2468 
5) 1111104


b)  Addition of Similar Digit with Decimal Numbers  
Example 1  :- 0.5 + 0.55 + 0.555 =?
Shortcut Trick
Step 1: Take 5 common and replace all 5 with 1.
  5(0.1 + 0.11 + 0.111)
Step 2 : Count number of digits after the decimal place.
i.e.  0.1= 1(digit) , 0.11 = 2(digit) , 0.111 = 3(digit)
and write down all digits together but in reverse order, that is 0.321
Step 3 : Multiply 5 x  0.321 = 1.605
The Final Result is 1.605.

Example 2  :- 0.4 + 0.44 + 0.444 + 0.4444 + 0.44444 =?
Shortcut Trick
Step 1: Take 4 common and replace all 4 with 1.
  4(0.1 + 0.11 + 0.111 + 0.1111 + 0.11111)
Step 2 : Count number of digits after the decimal place.
i.e.  0.1= 1(digit) , 0.11 = 2(digit) , 0.111 = 3(digit) , 0.1111 = 4(digit) , 0.11111 = 5(digit)
and write down all digits together but in reverse order, that is 0.54321
Step 3 : Multiply 4 x  0.54321 = 2.17284
The Final Result is 2.17284

Solve Some Exercise Questions for your Practice
1)  0.6 + 0.66 + 0.666 =?
2) 0.7 + 0.77 + 0.777 + 0.7777 =?
3)  0.9 + 0.99 + 0.999 + 0.9999 + 0.99999=?
4)  0.3 + 0.33 + 0.333 + 0.3333 + 0.33333 =?
5)  0.2 + 0.22 + 0.222 + 0.2222 + 0.22222 =?
Answer:-
1) 1.926
2) 3.0247
3) 4.88889
4) 1.62963
5) 1.08642


c)  Addition of number without Decimal in First Number  
Those numbers are like 19, 29, 39, 49, 59, 69, 79, 89, 99............
Example 1  :-180 + 79 =?
Shortcut Trick
Step 1: Add 1 to the second number 79, i.e. 79 + 1 = 80.
Step 2 : Add result 80 to the First number 180, i.e. 180 + 80 = 260
Step 3 : Subtract 1 from the result, i.e. 260 - 1 = 259
The Final Result is 259

Example 2  :-170 + 89 =?
Shortcut Trick
Step 1: Add 1 to the second number 89, i.e. 89 + 1 = 90.
Step 2 : Add result 90 to the First number 170, i.e. 170 + 90 = 260
Step 3 : Subtract 1 from the result, i.e. 260 - 1 = 259
The Final Result is 259

Solve Some Exercise Questions for your Practice
1) 160 +  59 =?
2) 370 + 99 = ?
3) 599 + 69 =?
4) 140 + 49 =?
5) 240 + 39 =?
Answer:-
1) 219
2) 469
3) 668
4) 189
5) 279

d)  Addition of number without Decimal in Second Number  
Those numbers are like 19, 29, 39, 49, 59, 69, 79, 89, 99............
Example 1  :-299+ 30 =?
Shortcut Trick
Step 1: Add 1 to the First number 299, i.e. 299 + 1 = 300.
Step 2 : Add result 300 to the Second number 30, i.e. 300 + 30 = 330
Step 3 : Subtract 1 from the result, i.e. 330 - 1 = 329
The Final Result is 329

Example 2  :-799+ 50 =?
Shortcut Trick
Step 1: Add 1 to the First number 799, i.e. 799 + 1 = 800.
Step 2 : Add result 800 to the Second number 50, i.e. 800 + 50 = 850
Step 3 : Subtract 1 from the result, i.e. 850 - 1 = 849
The Final Result is 849

Solve Some Exercise Questions for your Practice
1) 199 +  20 =?
2) 499 + 80 = ?
3) 699 + 50 =?
4) 599 + 60 =?
5) 999 + 20 =?
Answer:-
1) 219
2) 579
3) 749
4) 659
5) 1019


e)  Addition of common difference in a series of numbers 
We need to add the largest number with smallest number after that multiply this add result by count of numbers in the series of numbers, at last we have to do that we divide the result by 2.
Example 1  :-39 + 49 + 59 + 69 + 79 =?
Shortcut Trick
Step 1: Add the largest number with the smallest number, i.e. 79 + 39 = 118.
Step 2 :  Then count the total numbers present in the series, in this case it is 5
Step 3 : Then multiply the added result with the number count, i.e. 118 x 5 = 590
Step 4 : At last, divide the number by 2 , i.e. 590 / 2  = 295
The Final Result is 295

Example 2  :- 49 + 55 + 61 + 67 + 73 =?
Shortcut Trick
Step 1: Add the largest number with the smallest number, i.e. 73 +49 = 122.
Step 2 :  Then count the total numbers present in the series, in this case it is 5
Step 3 : Then multiply the added result with the number count, i.e. 122 x 5 = 610
Step 4 : At last, divide the number by 2 , i.e. 610 / 2  = 305
The Final Result is 305

Solve Some Exercise Questions for your Practice
1) 36 + 44 + 52 + 60 =?
2) 88 + 77 + 66 + 55 + 44 + 33 = ?
3) 111 + 98 + 85 + 72 + 59 =?
4) 89 + 80 +71 + 62 =?
5) 15 + 25 + 35 + 45 + 55 + 65 =?
Answer:-
1) 192
2) 363
3) 425
4) 302
5) 240

f)  Addition or sum of all consecutive numbers starting from 1  
Example 1  :-Addition or sum of all consecutive numbers starting from 1 to 100
Shortcut Trick
Step 1: Calculate total number of integers in the series. In this example it is 100.
Step 2 :  Multiply total count with count+1.Here count+1 is 100 + 1 = 101
so that 100 x 101 = 10100
Step 3 : divide the result by 2 , i.e. 10100 / 2  = 5050
The sum of all consecutive numbers starting from 1 to 100 is 5050.

Example 2  :-Addition or sum of all consecutive numbers starting from 1 to 50
Shortcut Trick
Step 1: Calculate total number of integers in the series. In this example it is 50.
Step 2 :  Multiply total count with count+1.Here count+1 is 50 + 1 = 51
so that 50 x 51 = 2550
Step 3 : divide the result by 2 , i.e. 2550 / 2  = 1275
The sum of all consecutive numbers starting from 1 to 50 is 1275.

Solve Some Exercise Questions for your Practice
1) Addition or sum of all consecutive numbers starting from 1 to 60
2) Addition or sum of all consecutive numbers starting from 1 to 90
3) Addition or sum of all consecutive numbers starting from 1 to 71
4) Addition or sum of all consecutive numbers starting from 1 to 80
5) Addition or sum of all consecutive numbers starting from 1 to 40
Answer:-
1) 1830
2) 4095
3) 2556
4) 3240
5) 820

g)  Addition of consecutive numbers  
Example 1  :- Find the Addition of all consecutive numbers from 23 to 29
Shortcut Trick
Step 1: Firstly, we add the smallest number to biggest number in the given group. Result is 23 + 29 = 52
Step 2 :  Then multiply the result with the total numbers in the given group i.e. 52 x 7 = 364
Step 3 : At last divide the resultant product by 2 , i.e. 364 / 2  = 182
The sum of all consecutive numbers from 23 to 29 is 182.

Example 2  :- Find the Addition of all consecutive numbers from 56 to 69
Shortcut Trick
Step 1: Firstly, we add the smallest number to biggest number in the given group. Result is 56 + 69 = 125
Step 2 :  Then multiply the result with the total numbers in the given group i.e. 125 x 14 = 1750
Step 3 : At last divide the resultant product by 2 , i.e. 1750 / 2  = 875
The sum of all consecutive numbers from 56 to 69 is 875.

Solve Some Exercise Questions for your Practice
1) Find the Addition of all consecutive numbers from 79 to 89 ?
2) Find the Addition of all consecutive numbers from 33 to 44 ? 
3) Find the Addition of all consecutive numbers from 82 to 99 ? 
4) Find the Addition of all consecutive numbers from 75 to 89 ?
5) Find the Addition of all consecutive numbers from 69 to 77 ?
Answer:-
1) 924
2) 462
3) 1629
4) 1230
5) 657

h)  Sum of all odd numbers starting from 1   
Example 1  :- Find the Sum of all odd consecutive numbers in a group of 1 to 90
Shortcut Trick
Step 1: Count the total odd numbers exists in between 1 to 90 . Here it is 45
Step 2 :  Then multiply 45 x 45 = 2025
The sum of all odd numbers from 1 to 90 is 2025.

Example 2  :- Find the Sum of all odd consecutive numbers in a group of 1 to 70
Shortcut Trick
Step 1: Count the total odd numbers exists in between 1 to 70 . Here it is 35
Step 2 :  Then multiply 35 x 35 = 1225
The sum of all odd numbers from 1 to 70 is 1225.

Solve Some Exercise Questions for your Practice
1) Find the Sum of all odd consecutive numbers in a group of 1 to 60 ?
2) Find the Sum of all odd consecutive numbers in a group of 1 to 80 ? 
3) Find the Sum of all odd consecutive numbers in a group of 1 to 30 ? 
4) Find the Sum of all odd consecutive numbers in a group of 1 to 50 ?
5) Find the Sum of all odd consecutive numbers in a group of 1 to 20 ?
Answer:-
1) 900
2) 1600
3) 225
4) 625
5) 100

i)  Additions combinations of decimal and whole numbers   
Example 1  :- 3.3 + 3.33 + 3.333 + 3.3333 ?
Shortcut Trick
Step 1: Take 3 common and replace all 3 with 1.
  3(0.1 + 0.11 + 0.111 + 0.1111)
Step 2 : Count number of digits after the decimal place.
i.e.  0.1= 1(digit) , 0.11 = 2(digit) , 0.111 = 3(digit) , 0.1111 = 4(digit)
and write down all digits together but in reverse order, that is 0.4321
Step 3 : Multiply 3 x  0.4321 = 1.2963
Step 4 : Now multiply the whole number with the total numbers present in the group.
i.e. 3 x 4 = 12
Step 5 : Now add both the results together i.e. ( 1.2963 + 12 )= 13.2963
The Final Result is 13.2963

Example 2  : 4.4 + 4.44 + 4.444 ?
Shortcut Trick
Step 1: Take 4 common and replace all 4 with 1.
  4(0.1 + 0.11 + 0.111)
Step 2 : Count number of digits after the decimal place.
i.e.  0.1= 1(digit) , 0.11 = 2(digit) , 0.111 = 3(digit) 
and write down all digits together but in reverse order, that is 0.321
Step 3 : Multiply 4 x  0.321 = 1.284
Step 4 : Now multiply the whole number with the total numbers present in the group.
i.e. 4 x 3 = 12
Step 5 : Now add both the results together i.e. ( 1.284 + 12 )= 13.284
The Final Result is 13.284

Solve Some Exercise Questions for your Practice
1)  2.2 + 2.22 + 2.222 + 2.2222 =?
2)  5.5 + 5.55 + 5.555 + 5.5555=?
3)  6.6 + 6.66 + 6.666=?
4)  7.7 + 7.77 + 7.777 + 7.7777 + 7.77777 =?
5)  8.8 + 8.88 + 8.888 =?
Answer:-
1) 8.8642
2) 22.1605
3) 19.926
4) 38.80247
5) 26.568


See the next for Multiplication Tricks ...........