Meaning of addition:
- Sum of two or more numbers are called as addition.
- Addition is the act of putting things together.
- Addition is the mathematical operation denoted by the symbol "+ ".
Example:
Sum of 7 and 8 is 15.
7 + 8 = 15
Important properties of addition:
1. Zero added to any number is the same number.
Example: 5 + 0 = 5
100 + 0 =100
2. Commutative property of addition states that the addition of any two numbers are same even if we change their orders. This illustration helps us to understand this property better.
Example: 13 + 19 = 19 + 13
Useful Addition Table:
Addition table:
Please go through this addition table.
Addition with Regrouping:
We use addition with regrouping when the sum of the numbers along the same column is greater than 9.
10 ones = 1 ten
10 tens = 1 hundred
10 hundreds = 1 thousand
Addition of two digits with regrouping:
Let us add the numbers 67 + 56.
Step 1: Line up the given number in its ones’ and tens’ place.
Draw a horizontal line below the bottom number.
Step 2: Add the numbers in the ones column.
7 + 6 = 13
Step 3: Regroup 13
13 ones = 10 ones + 3 ones
= 1 ten + 3 ones
Step 4:Write 3 below the ones column and place one above the tens column
Step 5:Add the numbers in the tens column.
Step 6: Final answer is 123.
Examples:
Addition of three digit numbers with regrouping:
Let us add the numbers 567 + 256
Step 1: Line up the given number in its ones’ and tens’ and hundreds' place.
Draw a horizontal line below the bottom number.
Step 2: Add the numbers in the ones column.
7 + 6 = 13
Step 3: Regroup 13
13 ones = 10 ones + 3 ones
= 1 ten + 3 ones
Step 4:Write 3 below the ones column and place one above the tens column
Step 5:Add the numbers in the tens column.
1+ 6 + 5 =12
12 tens = 10 tens + 2 ones
= 1 hundred + 2 ones
Step 6: Write 2 below the tens column and place one above the hundreds column.
Step 7: Add the numbers in the hundreds column.
1+ 5 + 2 = 8
Step 8: Final answer is 823
Examples:
