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 fivedigit and six digit numbers:
We know how to add threedigit 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
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