**The addition** is basically adding or summing up two or more than two digits.

Lets understand it by taking a simple example;

Find out how many apples are there in the two baskets?

We can see that in the first basket there are 7 apples and in the second basket there are 4 apples. So, in order to find the total apples in both the baskets, we will add 7 and 4.

In order to add we will count 4 steps forward from 7.

The sign of addition is “+”

So, we can write it as “7+4”

So, there are a total of 11 apples in the two baskets.

We can combine write it as “7+4=11”→This is known as an Addition Sentence.

So, now we learn about the addends and sum.

**Addends** are the number which we add. As in the above example, we are adding 7 with 4 so, 7 and 4 are the addends.

**The sum** is the answer which we get after addition. So, in the above example, 11 is the sum.

**Properties of Addition:**

There are 3 properties of addition:

- Identity property
- Commutative property
- Associative property

**1. Identity property: **Identity property means a number is added with 0 we that number itself.

For example, 1+0=1

5+0=5

15+0=15

**2. Commutative property: **It says that when two numbers are added the order in which we add those numbers does not matter or does not change the sum.

For example, 7+4=11 or 4+7=11

15+16=31 or, 16+15=31

**3. Associative property: **The associative property is for the addition of more than two numbers. When we add three or more numbers together the sum is the same no matter in which order we are adding them.

For example, we need to add 2+5+8

So, we can add them as (2+5)+8=7+8=15

Or, we can do 2+(5+8)=2+13=15

**Vertical Addition**

We can add numbers vertically also,

Say, we need to add 2+6 so we can write it as

2

+ 6

——–

8

———

So what we have done we have written the two numbers one under another and then did the addition.

Now, let’s take the case of two digit numbers;

In two digits number, there are two places of the digits ones and tens so we write the numbers one below according to their place of digit.

Say, we need to add 24+35

T O

2 4

+ 3 5

————

5 9

————

Similarly, we can do for three-digit numbers;

H T O

2 2 1

+1 7 6

——————

3 9 7

——————-

**Carryovers**

Up till here, we have seen that by adding two numbers of one digit we get a single digit as a sum but what if we get two digits as a sum.

We cannot place 2 digits in place of a single-digit so what we are going to do we are going to carry over the extra digit or the digit in the tens place,

So, let’s take an example we need to add 24+49

** T O **

2 4

+ 4 9

————

So, we can see by adding “9+4” we will get “13” which is a two-digit number so what we are going to do we need to write down 3 in the one’s place and carryover 1 as +1 to the tens place as shown below:

T O

+1

2 4

+4 9

————

3

Now, we will add up “1+2+4” and write the answer

T O

+1

2 4

+4 9

———

7 3

———-

We can do the same thing for a three-digit number,

**Practice Questions**

Find the sum:

- 704+202
- 514+227
- 692+118
- 279+226
- 833+402

**Solutions:**