Addition of Numbers (Definition, Types and Examples) - BYJUS

Addition of Numbers

In simple terms, addition is the process of combining or adding things together. It is one of the four basic operations in math. Learning addition will help us solve many day-to-day problems easily. The addition of two or more numbers gives us the sum or the total value of all the numbers. We use a plus (+) sign to denote addition. If we add two positive numbers, the sum of the two positive numbers will always be greater than both numbers....Read MoreRead Less

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What is Addition in Math?

In simple terms, addition is a concept that involves combining or adding things together. It is a mathematical operation that involves action with numbers in which we add numbers together.

What are some frequently-used terms in addition?

The following are some common terms, in addition, you will come across:

  • Add – Combining the numbers with the plus (+) operator.
  • Addend – Number(s) that are added together.
  • Addition equation – Statements that prove two things are equal. These two things are usually on the left and right sides of the ‘=’ symbol in the equation.
  • Equals – The ‘=’ symbol is used for addition equations.
  • Total or sum – This is the result that you get after adding two or more numbers

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The above image gives us an example of addition.

 

Practice Worksheets:

1. Addition Worksheets

2. 1st Grade Addition Worksheets

Properties of Addition

  • During the process of addition, swapping the addends doesn’t change the sum.
     

    For example,

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  • Addition equations are statements that show two things are equal. They have an equals sign (=).
     

    For example, an addition equation will look like this,

     

    1 + 1 = 2

  • Addition equations can be written in two ways:
     

    Sentence form, such as, 2 + 3 = 5

     

    Column form, such as, 2

                                      + 3

                                      ——-

                                        5

     

    Both sentence and column forms mean the same thing – two plus three equals five.

 
Read More:

1. More information on addition

2. Types of addition strategies

3. Addition of numbers using regrouping of places

Examples of Addition

Example of adding to a group of objects and forming an addition equation:

 

Example 1: There are 4 kittens. 1 more kitten joins them. How many kittens are there now?

 

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Answer: Here, the addends are 4 and 1, respectively. So, when the addends are added together, they make,

 

             4 + 1 = 5

 

Hence, the answer is: 5 kittens.

 

 

Example 2: 3 monkeys are sitting together. 1 more monkey joins them and sits with them. How many monkeys are sitting together?

 

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Answer: Here, the addends are 3 and 1, respectively. So, we have to add them to get the result. After adding the addends together, we arrive at,

 

             3 + 1 = 4

 

Hence, the answer is: 4 monkeys.

Examples of Addition as Word Problems

1. You have 4 blocks and you add 2 more blocks. How many blocks do you have now?

 

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Answer: You might remember one of the properties of addition: addend plus addend equals sum.

 

Here, the addends are 4 and 2, respectively. Now, by adding them,

 

        4        +           2           =            6 

(addend) (plus) (addend) (equals)  (sum)

 

Hence, there are 6 blocks in total.

 

 

2. You have three pencils. You buy three more pencils for yourself. How many pencils do you have now?

 

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Answer: The addends are 3 and 3, respectively. So, as per the addition properties, the result will be,

 

                3 + 3 = 6

 

Thus, you have 6 pencils now.

Examples based on put together Word problems

1. You have 1 dog and 5 cats. How many pets do you have in all?

 

Answer: Let’s take the “part-part-whole” model to solve this question. Similar to addends, one part plus another part equals a whole solution.

 

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                                                                                  One Part + Another Part = Whole

 

So, 1     +     5     =      6

   (part)     (part)     (whole)

 

Thus, you have 6 pets in total.

 

 

2. There are 9 blocks in total. One box has 5 blocks. Find the number of blocks in the other box.

 

Answer: Here, we have to find the missing addend. So, as per the question, the addition equation is 5 + __ = 9

 

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                                                                                                  5 + ______ = 9

 

Hence, we add parts to the other box to make it a total  of 9 blocks.

 

   5   +   4    =    9

(part)  (part)  (whole)

 

Thus, the other box has 4 blocks.

 

 

3. Here are four equations for the following model.

 

4 + 4 = 8          5 + 3 = 8

 

6 + 2 = 8          7 + 1 = 8

 

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Find out the equation from the above model that matches the model.

 

Answer: From the above model, let us first find the addends and then the sum so that we can find the right equation.

 

The addends of the model are, 5 and 3.

 

      5          +           3            =         8 

(addend) (plus) (addend) (equals) (sum)

 

So, the correct equation for the model is 5 + 3 = 8

Frequently Asked Questions

There are some fun and engaging approaches to teach addition to your first graders, such as by drawing models, practicing mental math, using real items, using the number line and writing the addition statements.

While adding two single-digit numbers, you can try counting the first number on your fingers, after which you can count the second number on your fingers. The sum of your total fingers will be the answer. mastered or which needs more practice.