Table of Contents

**Addition Formula**

**Introduction to Addition Formula**

Addition is the process of adding two or more items together. Addition in Maths is the method of calculating the sum of two or more numbers. It is a primary arithmetic operation that is used commonly in our day-to-day life. One of the most common uses of addition is when we work with money, calculate our grocery bills, or calculate time. In this article, let us learn more about the addition definition, the addition symbol, addition sums, the parts of addition, addition with regrouping, and number line addition, along with some addition examples.

**What is Addition in Maths?**

Addition is an operation used in math to add numbers. The result that is obtained after addition is known as the sum of the given numbers. For example, if we add 2 and 3, (2 + 3) we get the sum as 5. Here, we performed the addition operation on two numbers 2 and 3 to get the sum, i.e., 5

**Addition Definition**

Addition is defined as the process of calculating the total of two or more numbers. This calculation can be a simple one or a process that involves regrouping and carrying over of numbers.

**Addition Symbol**

In mathematics, we have different symbols. The addition symbol is one of the widely used math symbols. In the above definition of addition, we read about adding two numbers 2 and 3. If we observe the pattern of addition (2 + 3 = 5) the symbol **(+) **connects the two numbers and completes the given expression. The addition symbol consists of one horizontal line and one vertical line. It is also known as the addition sign or the plus sign **(+)**

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**Parts of Addition**

An addition statement can be split into the following parts.

- Addend: The numbers that are added are known as the addends.
- Addition Symbol: There is the addition symbol (+) which is placed in between the addends. If the statement is written horizontally as shown below, then we place an equal to sign (=) just before the sum is written.

- Sum: The final result obtained after adding the addends is known as the sum.

**Addition Formula**

The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum. This can be understood with the help of the example shown in the figure given below. The basic addition formula or the mathematical equation of addition can be explained as follows. Let us see how to write an addition sentence in the following way. For example, 5 + 7 + 9 + 3 = 24.

**Addition Properties**

While performing addition we commonly use the properties listed below:

- Commutative Property: According to this property, the sum of two or more addends remains the same irrespective of the order of the addends. For example, 8 + 7 = 7 + 8 = 15
- Associative Property: According to this property, the sum of three or more addends remains the same irrespective of the grouping of the addends. For example, 5 + (7 + 3) = (5 + 7) + 3 = 15
- Additive Identity Property: According to this property of addition, if we add 0 to any number, the resultant sum is always the actual number. For example, 0 + 7 = 7.

**Solved Examples on Addition Formula**

**Example 1:** 8 bees set off to suck nectar from the flowers. Soon 7 more joined them. Use addition to find the total number of bees who went together to suck nectar.

Solution:

Number of bees who set off to suck nectar = 8

Number of bees who joined them = 7

Therefore, on performing addition, the total number of bees who went together were: 8 + 7= 15.

**Example 2: **Using addition tricks, solve the following addition word problem.

Jerry collected 89 seashells and Eva collected 54 shells. How many seashells did they collect in all?

Solution:

Number of shells collected by Jerry = 89

Number of shells collected by Eva = 54

Therefore, the total number of sea shells collected by both of them = 89 + 54 = 143

**Frequently Asked Questions on Addition Formula**

1: What is Addition in Math?

Answer: Addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used for calculating the total of two or more numbers. For example, 7 + 6 = 13.

2: Where do we use Addition?

Answer: We use addition in our everyday situations. For example, if we want to know how much money we spent on the items we bought, or we want to calculate the time we would take to finish a task, or we want to know the number of ingredients used in cooking something, we need to perform the addition operation.

3: What are the Types of Addition?

Answer: The types of addition mean the various methods used in addition. For example, vertical addition, addition using number charts, the addition of small numbers using your fingers, addition using number line, and so on.

4: What are Addition Strategies?

Answer: Addition strategies are the different ways in which addition can be learned. For example, using a number line, with the help of a place value chart, separating the tens and ones and then adding them separately, and many others.

5: What are the Real-Life Examples of Addition?

Answer: There are many addition examples that we come across in our day-to-day lives. Suppose you have 5 apples, and your friend gave you 3 more, after adding 5 + 3, we get 8. So, you have 8 apples altogether. Similarly, suppose there are 16 girls and 13 boys in a class, if we add the numbers 16 + 13, we get the total number of students in the class, which is 29.

6: What are the Properties of Addition?

Answer: The basic properties of addition are given below. Each property has its individual significance based on addition.

Commutative Property: According to this property, the sum of two or more addends remains the same even if the order of the addends changes. For example, 3 + 7 = 7 + 3 = 10

Associative Property: According to this property, the sum of three or more addends remains the same irrespective of the grouping of the addends. For example, (8 + 7) + 2 = 8 + (7 + 2) = 17

Additive Identity Property: According to this property of addition, if we add 0 to any number, the resultant sum is always the actual number. For example, 0 + 16 = 16.

7: What are the Parts of Addition?

Answer: The different parts of addition are given below. Let us understand these parts with the help of an example. For example, let us take 4 + 7 + 2 = 13

Addend: In addition, the numbers or terms that are added together are known as the addends. In this case, 4, 7, and 2 are the addends.

Addition symbol (+) and the equal-to sign (=): The addition symbol is used in between the addends and the equal-to sign is placed just before the sum.

Sum: The final result obtained after performing addition is known as the sum. Here, the sum is 13.

8: What is the Identity Property of Addition?

Answer: According to the identity property of addition, if 0 is added to any number, the resultant sum is always the actual number. For example, 0 + 16 = 16.

9: What is the Difference Between Addition and Subtraction?

Answer: Addition is a math operation in which we add the numbers together to get their sum. It is denoted by the addition symbol (+). For example, on adding 5 and 7 we get 12. This is represented as, 5 + 7 = 12. Subtraction is the arithmetic operation of calculating the difference between two numbers. It is denoted by the subtraction symbol (-). For example, if we subtract 8 from 19, we get 11. This is represented as 19 – 8 = 11.

10: How to Write an Addition Sentence?

Answer: An addition sentence is the way in which addition is expressed as a mathematical expression. An addition sentence consists of 2 or more values that are written together with the addition symbol (+) in between them and an equal sign (=) at the end just before the sum. For example, if we want to add 2, 4, and 5 we write the addition sentence as, 2 + 4 + 5 = 11, where, 2, 4 and 5 are called the addends and 11 is the sum.

11: How to do Addition with Regrouping?

Answer: Addition with regrouping happens when we carry over the extra digit to the next column. When we add numbers, and we get a sum which is greater than 9 in any of the columns, we regroup this sum into tens and ones. Then we carry over the tens digit of the sum to the preceding column and write the ones digit of the sum in that particular column. In other words, we write only the number in ‘ones place digit’ in that particular column, while we take the ‘tens place digit’ to the column to the immediate left. A detailed example of addition with regrouping is given above on this page.