Question

How is simplification of integers done ?

Answer 1

To simplify integers, we follow the BODMAS rule which is Brackets Of Multiplication, Division, Addition or Subtraction.
The most important key to simplifying integers is being careful about the positive (+) and negative (-) signs.

Let us understand it with an example:

1. Simplify: 37 - [5 + {28 - (19 - 7)}]
Solution:
37 - [5 + {28 - (19 - 7)}]
= 37 - [5 + {28 - 12}] [Removing the innermost bracket ( )]
= 37 - [5 + 16] [Removing braces { }]
= 37 - 21
= 16

2. Simplify using BODMAS rule: $25-48÷6+12\times 2$
Solution:
$25-48÷6+12\times 2$
$=25-8+12\times 2$, (Simplifying ‘division’ $48÷6=8)$
= 25 - 8 + 24, (Simplifying ‘multiplication’ $12\times 2=24)$
= 17 + 24, (Simplifying ‘subtraction’ 25 - 8 = 17)
= 41, (Simplifying ‘addition’ 17 + 24 = 41)
Answer: 41