# CLASS-5SIMPLIFICATION

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 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.)