What are the strategies to calculate mental math addition?

The tricky strategies to calculate addition mentally in your head is an important part in mathematics.  Year-by-year practicing will help us to learn how to use mental math tricks or techniques in an appropriate way.

Tips: Practice whenever you get free time in school, at work, etc.,

There are some skills, which are used to solve the questions of addition easily and conveniently. Use mental math strategies to calculate addition to sharpen your mental maths skills.

Here are some examples in which mental math addition skills are used.

Problems to calculate mental math tricks for addition:

 1. Add 4 + 8 Solution:    4 + 8 = 8 + 4 4 + 8 = 8 + I, I, I, I          = 8, 9, 10, 11, 12Therefore, 4 + 8 = 8 + 4 = 12 Instead of adding 8 to 4, 4 is added to 8 as 4 + 8 = 8 + 4. While calculating mentally, we go to count four numbers ahead.
 2. Add 5 + 17 Solution: We know that, 5 + 17 = 17 + 5So, 17 + (I, I, I, I, I)= 17, 18, 19, 20, 21, 22Therefore, 5 + 17 = 17 + 5 = 22 Instead of adding 17 to 5, 5 is added to 17 as 5 + 17 = 17 + 5. While calculating mentally, we go to count five numbers ahead.
 3. Add 8 + 5 + 3 Solution: 8 + 5 + 3 = 8 + 3 + 5= 11 + 5= 16Therefore, 8 + 5 + 3 = 8 + 3 + 5 = 16 Instead of adding 8 + 5 + 3 we arrange the numbers as 8 + 3 + 5 then, 8 + 3 = 11 and 11 + 5 = 16
 4. Add 70 + 40 Solution: 70 + 40 = 110 Only the digits at ten’s place are added, if the numbers are the multiples of 10. Zero is placed at one’s place in the addition result.
 5. Add 60 + 35 Solution: 60 + 35 = 60 + 30 + 05= 90 + 05= 95Therefore, 60 + 35 = 95 Numbers are split in tens and ones. Sum of tens and sum of ones are added.
 6. Add 67 + 43 Solution:67 + 43= (60 + 7) + (40 + 3)= 60 + 40 + 7 + 3= 100 + 10= 110 Numbers are split in tens and ones and then do addition. or,                  67                  43                  10 (7 + 3)                  100 (60 + 40)                 110Sum of ones and sum of tens both are added.

Solution:

39 + 53

= 39 + 1 + 53 – 1

= 40 + 52

= 92

The above tricky strategies will help us to calculate mental math addition to sharpen the math skills to perform easily.

Worksheet on Mental Math on Addition:

1. 6298 + 1246 = 7544. Here, addends are __________ and __________ .

2. 5,914 + 6,890 = 6,890 +  __________

3. Find the sum of the greatest 3-digit number and the smallest 4-digit number.

4. Find the sum of the place-values of 5s in 35926 and 567.

5. What number should be added to the greatest 3-digit number to get the smallest 4-digit number?

6. 5 thousand = 4 thousands + _____ hundreds.

7. Find the sum of the smallest 4-digit, 3-digit and 2-digit numbers.

 8. Write numbers from 1 to 9 in the magic square so that the sum of the numbers in each row, in each column and diagonally may be 15.

1. 6,298 and 1,246

2. 5,914

3. 1,999

4. 5,500

5. 1

6. 10

7. 1,110

8. 1st row: 6 1 8

2nd row: 7, 5, 3

3rd row: 2, 9, 4

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