Addendum

Each of the number that we add is called an addendum.

  1 1

  2438     → Addendum

+2949     → Addendum

  5387     → Sum

The resulting number is called the sum. 2 or more than 2 numbers to be added are called addenda (plural form of addendum). Here 2438 and 2949 are addenda.

Addition of five-digit and six digit numbers:

We know how to add three-digit and four digit numbers. Now, we will learn to add larger numbers.

Consider the following examples:

1. Find the sum of 43428 and 46325.

Arrange the digits of the addenda in columns and add as usual.

       1

  43428  → Addendum

+46325  → Addendum

  89753  → Sum


The sum is 89753.

 

2. Find the sum of 58209 and 23490.

Arrange the digits of the addenda in columns and add as usual.

  1 

  58209  → Addendum

+23490  → Addendum

  81699  → Sum


The sum is 81699.

 

3. Find the sum of 569438 and 234526.

Arrange the digits of the addenda in columns and add as usual.

  11   1

  569438                → Addendum

+234526                → Addendum

  803964                → Sum

 

The sum is 803964.

 

4. Find the sum of 669702, 154789 and 113465.

Arrange the digits of the addenda in columns and add as usual.

  1 

  669702                → Addendum

+154789                → Addendum

+113465                → Addendum

  937956               → Sum

 

The sum is 937956.


Properties of addition

Order Property of addition

We can add two numbers in any order. The sum remains the same. This property is also called commutative property.

For example: 

Find the sum of 460721 and 237544.

Solution:

  460721

+237544

  698265

Or

  237544

+460721

  698265

In both cases, the sum remains the same.

 

Additive Property of Zero

If zero is added to a number, the sum is the number itself. Zero is called additive identity.

For example: 

Add 423456 and 0.          

Solution:

  423456

+        0

  423456

The sum is the number itself.


Additive Property of Zero

Associative Property of Addition

While adding three or more numbers we may group the numbers in any order. The

Sum remains the same. This is also called grouping property of addition.

For example: 

Add 214061, 142131 and 234250.

Solution:

First method

  214061

+142131

  356192

 

  356192

+234250

  590442

Second method

  142131

+234250

   376381

 

  376381

+214061

  590442

We see that (214061 + 142131) + 234250 = (142131 + 234250) + 214061.

The answer remains the same.


Word problems on addendum:

1. Ron earns $27425 per month and Sam earns $24639 per month. How much do they earn per month together?

Solution:      

Ron earns per month                       =   $27425

Sam earns per month                      = +$24639

They earns per month                     =   $52064

So, their total earnings per month     =   $52064


2. Jack has $14321, David has $21109 and John has $30201. How much money do they have together?

Solution:     

Jack has            =   $14321

David has          =    $21109

John has           =  +$30201

Total amount     =    $65631

So, the amount they have together    =    $65631





4th Grade Math Activities

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