Additionmeans joining things together. It can also be defined as Combining collections of objects together into a larger collection is Addition.It is represented by the ‘+’ sign.We can add the integers using the number line.

Add a positive integer by moving to the right on number line.

**This can be written in different ways:**

- 3 and 2 is 5
- 3 Plus 2 equals 5
- 3 + 2 = 5

Here the number or digit 3 and 2 are called Addends or Operands
The plus or "+" is called operator.
whereas the number 5 is the sum.
Sum : When numbers are added together, the answer is called sum. The sum tells how many there are in all.
same way

**7 + 3 = 10**

Addends: 7, 3

Sum: 10

**5 + 5**

Take 5 and then add 5 to it.

= 10

**8 + 6**

We will count 6 after 8. So we will get 14.

8 + 6 = 14

**255 + 211**

Arrange vertically as shown in the table

5 U + 1 U= 6 U

5 T + 1 T = 6 T

2 H + 2 H = 4 H

**255 + 211 = 466**

**Lisa had 6 pencils.**

She bought 7 pencils.

So that,7 added to 6.

**Count 6 after 7**

**7 + 6 = 13**

**
Matt had 5 marbles. Elizabeth gave him more 9 marbles.
**
So that, 9 added to 5.

5 + 9

**Count 9 after 5**

**9 + 5 = 14**

**Arrange vertically** as shown in the table

0 U + 0 U= 0U

5T + 3T = 8T

1H + 2H = 3H

**100 + 50 + 230 = 380**

To find total children in the school we have to add the numbers of boys and girls.

**340 + 250**

Arrange vertically as shown in the table

0U + 0U= 0U

4T + 5T = 9T

3H + 2H = 5H

**340 + 250= 590**

**Arrange vertically** as shown in the table

5U + 9U = 14U

14U = 1T 4U

We carry over 1T to the next column.

2T + 1T = 3T

**25+9= 34**

9U + 6U = 15U

15U = 1T 5U

We carry over 1T to the next column.

9T + 6T + 1T = 16T

16T = 1H 6T

We carry over 1H to the next column.

5H + 3H + 1H = 9H

**599 + 366 = 965**

To find total score for the two innings we have to add runs made in both innings.

**216 + 85**

Arrange vertically as shown in the table

6U + 5U = 11U

11U = 1T 1U

We carry over 1T to the next column.

1T + 8T + 1T = 10T

10T = 1H 0T

We carry over 1H to the next column.

2H + 1H = 3H

**216 + 85 = 301**

To find the total cost of these articles we have to add the cost of these articles.

**7800 + 5000**

Arrange vertically as shown in the table

0U + 0U = 0U

0T + 0T = 0T

8H + 0H = 8H

7TH + 5TH = 12 TH

**7800 + 5000 = 12800**

If we reverse the terms in a sum left-to-right, and the result is the same as the last one.It is called

So that, if a and b are any two numbers, then a + b = b + acommutativity of addition.

Let us say 4 stars and 3 stars

- 4 stars and 3 stars = 4 + 3 = 7
- It is same as 3 stars and 4 stars = 3 + 4 = 7
- So that, 4 + 3 = 3 + 4 = 7

**Let us count with 8 red blocks and 7 green blocks.**

8 red blocks + 7 green blocks = 15 blocks

**Let us count with 7 red blocks and 8 green blocks.**

7 red blocks + 8 green blocks = 15 blocks

So that, 8 red blocks + 7 green blocks = 7 red blocks+ 8 green blocks = 15 blocks

**Hence, 8+7=7+8**

For any three numbers

a, b, and c, (a + b) + c = a + (b + c).

**If we say, (1 + 3) + 4=?**

- (1 + 3) + 4 = 4 + 4 = 8
- Now 8 = 1 + 7 = 1 + (3 + 4)
- so that, (1 + 3) + 4= 1 + (3 + 4)

**Let us count with 8 red blocks and 7 green blocks. And 2 blue blocks.**

(8 red blocks + 7 green blocks) + 2 blue blocks = 17 blocks

Now 8 + (7 + 2)

**Let us count with 8 red blocks. And 7 green blocks and 2 blue blocks.**

(8 red blocks) + (7 green blocks + 2 blue blocks) = 17 blocks

So that, (8 red blocks + 7 green blocks) + 2 blue blocks =

(8 red blocks) + (7 green blocks + 2 blue blocks) = 17 blocks

**Hence, (8 + 7) + 2 = 8 + (7 + 2)**

When we add zero to any number, the quantity does not change.

For any a, a + 0 = 0 + a =a.

Let we say, 5 + 0 = ?

- Count 0 after five. 5 + 0 = 5
- If we say, 0 + 5. Count 5 after zero. 0+5= 5
- So that, 5 + 0 = 0 + 5 = 5

If we add two numbers any order we get the same answer.

Let us say, 4 + 6 = 10. As well as 6+4=10.

So that, 4, 6 and 10 are the members of the fact family.

A doubles fact is one in which the two addends are the same for e.g.

5 + 5 = 10

A doubles + 1 fact is one in which one addend is only one more than the other addend for e.g.
**5 + 6 = 11**

- We should always start to add the numbers from unit place of the given number.
- Order does not matter when we add too many numbers together.

- Complete the series till comes 300. 240, 260,…….
- What is the sum of the values of 4s in 844?
- What is 8 hundreds and 8 tens together?
- When you join 2 or more groups together, do you get more or fewer objects?
- What happens to the sum when we change the order of the addends?
- Do you have to count to add 0 to any number?

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