DAMAS RULES -
The DMAS rule, also known as the BODMAS or PEMDAS rule, is an acronym used to remember the order of operations in mathematics. It provides a guideline for evaluating mathematical expressions involving multiple operations. Here's what each letter represents:
D: Division,
M: Multiplication,
A: Addition,
S: Subtraction,
According to the DMAS rule, you should perform calculations in the following order:
By following the DMAS rule, you can ensure that mathematical expressions are evaluated correctly, taking into account the proper order of operations. It helps avoid ambiguity and ensures consistent results when solving complex equations or expressions.
Explanation -
When we need to do two or more of the four fundamental operations ( +, -, × and ÷ ) at the same time to solve a problem we use the DMAS Rule. This rule conventionally makes it easier for us to do sums involving more than one operation. We call it the Simplification Rule.
Example -
1) Simplify :-
16 – 8 ÷ 4 × 2 + 8
16 – 8 ÷ 4 × 2 + 8
= 16 – 2 × 2 + 8 [Start with division]
= 16 – 4 + 8 [Then multiplication]
= 16 + 8 – 4 [Then addition]
= 24 – 4 [Then subtraction]
= 20 (Ans.)
2) Simplify :-
18 ÷ 2 × 14 + 15
18 ÷ 2 × 14 + 15
= 9 × 14 + 15 [Start with division]
= 126 + 15 [Then multiplication]
= 141 [Then addition] (Ans.)
3) Simplify :-
64 + 7 + 26 ÷ 13 – 39
64 + 7 + 26 ÷ 13 – 39
= 64 + 7 + 2 – 39 [Start with division]
= 73 – 39 [Then addition]
= 34 [Then subtraction] (Ans.)