## ADDITION

Now you will learn how to do additions quickly.Here i show you many tricks to solve addition among these you can follow which one is easy to you.

3+9 is Harder:"3.........9,10,11,12".

9+3 is Easier :"9,10,11,12.

So,add 9+3 instead and you will get the same solution.

5+7 is Harder:"5..,8,9,10,11,12".

7+5 is Easier :"7,8,9,10,11,12".

So,to add 7+5 instead and you will get the same solution.

so you can break 12 into (10+2)

Now you get like this 3+10+2

so, add 3+2 and then add 10 to the sum(3+2=5).

(3+2)+10= 5+10= 15.

so if you observe here we can make sum of 10 i.e., 6+4=10 ,7+3=10 then total 10+10=20.

now remaining number is 5,so 20+5=5.

So,Now break 16 into 10's (10+6)

Now you will get like this 10+6+6

So,first add (6+6)=12

Now add 10 to the sum i.e., 10+12=22.

So to make 8 to 10, you can borrow 2 from other number 4

then it will be 4-2=2,and 8+2=10.

Sum=10+2=12.

So we will get 13-3=10.

And we add 3 to other number i.e., 3+5=8

The sum is 10+8=18.

So you can do like this 2*5=10.

you can write 7 as 8-1

Now it will be look like 8+8-1

So, 2*8=16

Then Result=16-1=15.

**1.****When you do addition, always start from the larger number.**__3+9__**Example 1:**3+9 is Harder:"3.........9,10,11,12".

9+3 is Easier :"9,10,11,12.

So,add 9+3 instead and you will get the same solution.

**Example 2****:**5+75+7 is Harder:"5..,8,9,10,11,12".

7+5 is Easier :"7,8,9,10,11,12".

So,to add 7+5 instead and you will get the same solution.

**2.Jump strategy, you can jump to numbers in this way:**

Example:3+12Example:

so you can break 12 into (10+2)

Now you get like this 3+10+2

so, add 3+2 and then add 10 to the sum(3+2=5).

(3+2)+10= 5+10= 15.

**3.Adding up to 10.If you have to add more than 2 or more numbers,then try to make them sum to 10.It is not required they should be consecutive.**

Example:6+3+4+5+7Example:

so if you observe here we can make sum of 10 i.e., 6+4=10 ,7+3=10 then total 10+10=20.

now remaining number is 5,so 20+5=5.

**4.Break numbers in 10`s and then add both.****Example:**16+6So,Now break 16 into 10's (10+6)

Now you will get like this 10+6+6

So,first add (6+6)=12

Now add 10 to the sum i.e., 10+12=22.

**5.Borrow a number from other number to make it multiple of 10**

Example:8+4Example:

So to make 8 to 10, you can borrow 2 from other number 4

then it will be 4-2=2,and 8+2=10.

Sum=10+2=12.

**6.Take number Backwards to other number ,to make it multiple of 10**

Example:13+5,you can 3 backwards to other numberExample:

So we will get 13-3=10.

And we add 3 to other number i.e., 3+5=8

The sum is 10+8=18.

**7.Double the number,when the given numbers are same.**

Example:5+5Example:

So you can do like this 2*5=10.

**8.Double the number if they are close and then you can reduce or add to fix it.**

Example:8+7Example:

you can write 7 as 8-1

Now it will be look like 8+8-1

So, 2*8=16

Then Result=16-1=15.