What is Addition in Maths?

Addition is defined as the arithmetic operations in which we combine two or more quantities to find the combined value of the quantity. We use the symbol plus (+) to perform addition operations.

For example, find the total marks scored by Kabir if he scored 98 in half yearly and 96 marks in the final examination. Then the total marks scored by him in a year is 194 i.e., (98 + 96).

If a person knows addition, he can perform other operations such as multiplication and subtraction easily.

Real-Life Uses of Addition

Addition is used in many real-life scenarios, whether in simple daily tasks or more complex situations. Here are some examples:

• Shopping: Adding prices of items to find the total cost (e.g., $5 + $3 = $8).
• Budgeting: Adding income sources and expenses to calculate total income (e.g., $2,000 + $500 = $2,500).
• Time Management: Adding times of activities to know the total time needed (e.g., 30 minutes + 45 minutes = 75 minutes).
• Health and Fitness: Adding calories consumed or burned (e.g., 300 + 500 = 800 calories).

Symbol for Addition

"+" is used as a Symbol of Addition. Other than that, there are different symbols used in mathematics that are used for various purposes such as multiplication, subtraction or division. 

For a series of addition we also use symbol of Greek alphabet sigma i.e., "Σ". For example, adding 2 and 6 is represented as, 2 + 6 and its result is 8.

Parts of Addition

There are various parts of addition. While performing addition the parts of addiction are,

• Addend: In addition operation, the numbers that are added are called the addends. For example in the addition of 2 and 3, (2 + 3), 2 and 3 are addends.

• Addition Symbol: Symbol that represents the addition is the plus sign (+). For example in the addition of 2 and 3, (2 + 3) and (+) represent addition.

• Sum: Result of the addition operation is called the sum. For example in the addition of 2 and 3, (2 + 3 = 5), 5 is the sum.

Addition Formula

The addition formula is,

Addend + Addend = Sum

Note: For more then two addends formula remains the similar as Addend + Addend + . . . = Sum.

Properties of Addition

There are various properties of addition, such as

• Closure Property
• Commutative Property
• Associative Property
• Identity Property
• Additive Inverse

Read More about Properties of Addition.

Addition Table

An addition table is a simple and effective way to organize and visualize the results of adding pairs of numbers. It is especially helpful for beginners learning arithmetic or for anyone looking to quickly reference addition facts.

Methods for Addition

We have various methods for finding the sum of two numbers or solving addition. They are

• Using Fingers
• Using Number Lines
• Addition By Regrouping

Let's learn the same in detail.

Addition On Fingers

Addition operation can be easily performed by using fingers. We use our fingers for finding the sum of two numbers.

Suppose we have two to find the sum of 3 and 5 then we count, till three using our fingers of one hand and then continue to count five fingers using the second hand to find the sum of both. We count all the fingers to find the sum (3 + 5 = 8).

Addition on Number Line

A number line is a line that represents numbers (Integers) and we can easily add two or more numbers with the use of a number line.

Suppose we have to find the sum of 5 and 6. Then we must follow the steps added below to find their sum,

Step 1: Mark 5 on a number line.
Step 2: We have to add 6 to 5 so we jump six places in the right direction from 5.
Step 3: Mark the final position(here 11). Thus, we get the sum of 5 and 6 to be 11.

Read more: Representation of Rational Numbers on Number Line.

Addition By Regrouping

For numbers with only one's digit, we can add them using a number line but the addition of two digits or three digits number using a number line is not feasible as drawing number lines gets bigger and bigger. Then we use addition by regrouping to find the sum of two or more numbers.

• In this method, we write the number in H T O (Hundreds Tens Ones) format and then add one with one, ten with ten and hundred with hundred and so on.
• One thing in this method that we have to remember is if by adding any pair we came across the sum to be greater than 10 then the one's digit is written and the tenth part is carried forward.

Suppose we have to find the sum of 234 and add 349 by regrouping they are added as

For more practicing see Addition With Regrouping Worksheet.

Read More,

• Mathematics
• Basic Arithmetic Operations
• Addition of Fractions

Addition Word Problems

These word problems on addition will help you understand how to solve questions better.

Addition Problem 1: In a class test the marks scored, by Anatika out of 20 are 10, 8, 6, and 11 in English, Maths, Science and Computers respectively. Then find the total marks scored by Anatika.

Solution:

Marks scored by Anatika

• In English = 10
• In Maths = 8
• In Science = 6
• In Computer = 11

Total marks scored by Anatika = 10 + 8 + 6 + 11 = 35

Addition Problem 2: Rakesh earns 2000, 2230, 1789, 2341, 1890, 1678, and 2318 rupees in different days of the week chronologically. Then find its total earning.

Solution:

Rakesh earns in each day of week,

• On Monday = Rs 2000
• On Tuesday = Rs 2230
• On Wednesday = Rs 1789
• On Thursday = Rs 2341
• On Friday = Rs 1890
• On Saturday = Rs 1678
• On Sunday = Rs 2318

Total money earned by Rakesh in a week = 2000 + 2230 + 1789 + 2341 + 1890 + 1678 + 2318 = Rs 14246

Read More about Addition Worksheets.