Page 30 - Math Skill - 5
P. 30
28 Maths
Step 1: We arrange the given numbers in columns, ones under ones, tens under tens,
hundred under hundred and so on.
Step 2: We add the digits in each column taking the carry over, if any, to the next column to
the left and adding it along with the digit in that column. We continue this process
till we add the digits in all the columns.
Addition without Regrouping
Let’s learn through example given below:
Let’s Attempt
Example: Add 6,52,35,165 and 1,23,60,123.
Solution: 6 5 2 3 5 1 6 5
+ 1 2 3 6 0 1 2 3
7 7 5 9 5 2 8 8 The sum of the given numbers is 7,75,95,288.
Addition with Regrouping
Let’s learn through example given below:
Example: Add 3,67,52,896 and 1,51,62,905.
Solution: 1 1 1 1 1
3 6 7 5 2 8 9 6
+ 1 5 1 6 2 9 0 5
5 1 9 1 5 8 0 1 The sum of the given numbers is 5,19,15,801.
Properties of Addition
Commutative Property
When the order of the addends is changed, the sum remains the same.
10,412 + 11,371 = 21,783 and 11,371 + 10,412 = 21,783 Fact-o-meter
Zero Property � Commutative property is also
The sum of zero and the number is the number itself. known as order property.
14,510 + 0 = 14,510; 0 + 14,510 = 14,510 � Associative property is also
known as grouping property.
Associative Property
Even if the grouping of addends is changed, the sum remains the same.
(3500 + 6000) + 950 = 10,450 Challenge
3500 + (6000 + 950) = 10,450 I’m a number with four nines,
(3500 + 950) + 6000 = 10,450 Turn me around,
I stay the same in all lines.
Add me to 1, what do you find?,