Rules of Simplification: Basic rule to solve any simplification equations is “VBODMAS”. To solve any simplification equation, we have to follow the above order.
V → Vinculum
B → Remove Brackets - in the order ( ), { }, [ ]
Where, ( )→ common bracket or parentheses, { }→ braces , [ ] → square brackets
O → Of
D → Division
D → Division
M → Multiplication
A → Addition
S → Subtraction
Note: At the time of opening of brackets, if a negative sign comes before the brackets then we have to change the sign of the expression inside the bracket.
Let us understand this concept with an example:
Example: Simplify:
= 894 + [87 - {182 ÷ 13 x 5 + 8 - (1-4)}]
= 894 + [87 – {182 ÷ 13 x 5 + 8 -(-3)}]
= 894 + [87 – {182 ÷ 13 x 5 + 8 +3}]
= 894 + [87 – {14 x 5 + 8 +3}]
= 894 + [87 – {70 + 8 +3}]
= 894 + [87 – {81}]
= 894 + [6]
= 900.
We have seen the simple method to solve the simplification problems, now we will discuss the approaches to solving the simplification problems by approximation.
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