Simplification -
To simplify decimal fractions first arrange decimal fractions with ‘ + ’ sign together and decimal fractions with ‘ - ’ sign together and then follow the following steps:
Step 1: Write the numbers with ‘ + ’ sign in column form and follow the rules of addition.
Step 2: Write the numbers with ‘ - ’ sign in column form (without the ‘ - ’ signs) and follow the rules of addition.
Step 3: Subtract the answer of (Step 2) from the answer of (Step 1).
Simplify :-
a) 50 - 18.11 + 24.9 - 40.88
50 - 18.11 + 24.9 - 40.88
= 50 + 24.9 - 18.11 - 40.88
= 50 + 24.9 - (18.11 + 40.88)
Step 1 Step 2 Step 3
5 0 . 0 0 1 8 . 1 1 7 4 . 9 0
+ 2 4 . 9 0 + 4 0 . 8 8 - 5 8 . 9 9
-------------- --------------- ----------------
7 4 . 9 0 5 8 . 9 9 1 5 . 9 1
So, the answer is 15.91 (Ans.)
Simplify :-
b) 37.3 - 18.46 + 50.2 - 2.36 - 20.7156
37.3 - 18.46 + 50.2 - 2.36 - 20.7156
= 37.3 + 50.2 - 18.46 - 2.36 - 20.7156
= 37.3 + 50.2 - (18.46 + 2.36 + 20.7156)
Step 1 Step 2 Step 3
3 7 . 3 1 8 . 4 6 0 0 8 7 . 5 0 0 0
+ 5 0 . 2 2 . 3 6 0 0 - 4 0 . 5 3 5 6
------------ + 2 0 . 7 1 5 6 -------------------
8 7 . 5 ------------------ 4 6 . 9 6 4 4
4 0 . 5 3 5 6
So, the answer is 46.9644 (Ans.)