Addition and Subtraction
Category : 2nd Class
Addition and Subtraction
Synopsis
ADDITION:
e.g., 5 + 3 = 8 \[\downarrow \] \[\downarrow \] \[\downarrow \] Addend Addend Sum |
Note:- Adding two numbers in any order gives the same sum. e.g., 3 + 5 = 8 and 5 + 3 = 8 |
e.g., 16 ones = 1 ten 6 ones
25 tens = 2 hundreds 5 tens
When two numbers in ones place are added, the sum may be greater than 9.
Then regroup the sum as tens and ones.
e.g., Add 276 and 389.
6 + 9 = 15
15 = 1 ten 5 ones
Write the ones under the ones place and carry the number in tens to the tens place.
Then add the numbers in tens place along with the carry. Write the sum under tens place if it is less than or equal to 9.
If the sum of tens is greater than 9, again regroup the tens as hundreds and tens. 16 tens = 1 hundred 6 tens.
Write the tens in tens place and carry the hundreds to hundreds place. Add the numbers in hundreds place along with the carry and write the sum.
So, 276 + 389 = 665.
Subtraction:
e.g., 6 - 0 = 6
e.g, 9 - 1 = 8
Note : 9 - 1 and 1 - 9 do not give the same difference. |
Subtraction of two numbers (Without borrow)
e.g., Subtract 3 from 8.
Note : The number after ‘from’ is written first. Then The number before ‘from’ is written and subtracted. |
8 - 3 = 5 (Horizontal subtraction)
8
-3
______ (Vertical subtraction)
5
______
e.g., Find 67 - 42.
(i) (ii)
e.g., Subtract 103 from 216.
(i) (ii)
(iii)
When the subtrahend is larger than the minuend, subtraction cannot be done. Then we borrow from the next place.
e.g., 1: Subtract 38 from 54.
We cannot subtract 8 from 4. So we borrow 1 from the tens place
In the ones place, 1 ten is added to 4 ones. So it becomes 14 ones. Now subtract 8 from 14 and write the difference 6 in ones place.
In the tens place, the minuend becomes 5-1=4. Now subtract 3 from 4 and write the difference under tens.
So, 54 - 38 = 16.
e.g., 2: Subtract 457 from 634.
(i) (ii)
(iii)
So, 634 - 457 = 177.
e.g., 7 + 4 = 11 \[\to \] a) 11 - 7 = 4 and b) 11 - 4 = 7
e.g., 16 - 3 = 13 \[\to \] (a) 13 + 3 = 16 and (b) 3 +
13 = 16
You need to login to perform this action.
You will be redirected in
3 sec