# Sum Definition

A **summation** or sum is the addition of different **numbers** or terms. It is **one** of the basic **operations** of **Mathematics** that everyone has to **learn** from their **childhood**. In simple words, the result we get after **adding** different terms in **mathematics** is called **Sum**

**Note:**

Read about Terms in Mathematics here.

**Table of Contents**

In **Mathematics**, the sum is **denoted** by using a “**+**” symbol. This symbol is inserted **between different terms** that you want to add. Here is the pictorial** representation** of the Summation of **two terms**.

## Sum of Numbers

You can find the **summation** of as many **numbers** as you want. There is **no** restriction over the **maximum** **numbers** that can be **added** to find the **sum**. You only have to put the **addition symbol **between all **terms** to show that these **terms** are going to **add**.

**Example 1:**

Find the **Sum** of the first five **natural** numbers.

**Solution:**

1, 2, 3, 4, and, 5

Let us show you how to find the Sum of these numbers,

= 1 + 2 + 3 + 4 + 5

= 15

### Ways to find the sum of numbers

In **general**, there are **two methods **to find the **summation** of the given numbers. Here we are going to discuss them **one **by **one**.

**Vertical Addition:**In this**method**, you can write the numbers**vertically**and start adding from the first**right**term of the**terms**.**Horizontal Addition:**In this**method,**you can write the numbers in a**horizontal**line as we have written in above**Example 1**.

### Fun Facts of Sum

- The
**addition**of**0**with any other number will give the**second number**its resultant. - The
**sum**of**opposite sides**of the Dice is**7**. - Adding
**1**in any number will give its**successor**.

### FAQ's

**What is the opposite of Sum?**

The opposite method of Sum is Subtraction in which we minus different terms.

**Is Sum related to the product?**

Yes, both of these are related. Product means the addition of the given number of particular times.