Addition Tips and Tricks
Additions tricks are nothing but a quick way to calculate sum of numbers even for complex and larger number. These tricks will help you in help in increasing you speed. Below are some useful tricks for performing addition quickly and efficiently, along with examples for each:
Commutative Property
The order of addends can be changed without affecting the sum.
a + b = b + a
Example:
7 + 13 = 13 + 7 = 20
Here, if you can’t add 7 with 13 then you can quickly reverse their order and add which will make you feel easy.
Associative Property
Grouping of addends can be changed without affecting the sum.
(a + b) + c = a + (b + c)
Example :
(13 + 11) + 9 = 13 + (11 + 9)
24 + 9 = 13 + 20
30 = 30
Here, if we have three or more numbers we can choose pair of number which is more easy to add. Like it is easy to add 11 with 9 and then with 13 rather than 13 with 11 and then with 9.
Adding Zero
Adding zero to a number leaves it unchanged.
a + 0 = a
Example : 9 + 0 = 9
Breaking Down Numbers (Decomposition)
Break down numbers into parts that are easier to add.
Example :
47 + 25
= (40 + 7) + (20 + 5)
= (40 + 20) + (7 + 5)
= 60 + 12
= 72
Rounding and Compensating
Round one addend to a nearby number that is easier to add, then adjust the result.
Example:
68 + 27
Round 68 to 70 (add 2), then subtract 2 at the end:
70 + 27 = 97
97 – 2 = 95
Using the Tens Complement
Find the complement to the next multiple of ten and adjust. Complement means just to find how much the number is lagging or exceeding the nearest round off number.
Example:
48 + 37
48 to 50 (complement is 2)
37 – 2 = 35
50 + 35 = 85
Counting Up
Start with the larger number and count up by the smaller number.
Example:
23 + 6
Start with 23:
24, 25, 26, 27, 28, 29
So, 23 + 6 = 29
Using Known Sums
Use commonly known sums, such as doubles or sums of ten.
Example:
8 + 7
8 + 8 = 16
7 is 1 less than 8, so 16 – 1 = 15
Splitting for Easier Addition
Split numbers to make the addition easier, especially useful for multi-digit numbers.
Example :
123 + 456
Split into hundreds, tens, and units:
(100 + 400) + (20 + 50) + (3 + 6)
= 500 + 70 + 9
= 579
Using Number Lines
Visualize addition on a number line.
Example :
5 + 3
Start at 5, move 3 steps to the right:
5 to 6, 7, 8
So, 5 + 3 = 8
Vertical Addition (Column Addition)
Line up numbers by place value and add vertically, carrying over if necessary.
Example :
[Tex]\begin{array}{ccccc}
& & 4 & 5 & 6 \\
+& & 7 & 8 & 9 \\
\hline
& 1 & 2 & 4 & 5 \\
\end{array}[/Tex]
1. Add units: \(6 + 9 = 15\) (write 5, carry 1)
2. Add tens: \(5 + 8 + 1 = 14\) (write 4, carry 1)
3. Add hundreds: \(4 + 7 + 1 = 12\) (write 2, carry 1 to the next thousand)
4. Result: 1245
Mental Math for Near-Doubles
If two numbers are nearly the same, use the double and adjust.
Example :
49 + 52
Think of 50 + 50:
50 + 50 = 100
Adjust for the difference:
49 + 52 = 100 – 1 + 2 = 101
Addition with Place Value Splitting
Add numbers by their place values separately.
Example :
345 + 678
= (300 + 600) + (40 + 70) + (5 + 8)
= 900 + 110 + 13
= 900 + 110 + 10 + 3
= 1023
Using these tricks can make addition quicker and more intuitive, especially when dealing with larger numbers or performing mental math.
Also, Check
Addition Tricks
Addition Tricks are are the techniques that helps to calculate sum in a very quick manner. It is fundamental to learn all the addition tricks in the mathematics to perform quick addition. In this article, we will learn addition tricks for performing sum of large numbers without use of pen and paper. This article also has solved examples and practice questions to help the students thoroughly with the concept.