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Study Guide: Simplification
Source: https://www.fatskills.com/quantitative-aptitude-and-numerical-ability-for-competitive-examinations/chapter/simplification

Simplification

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~1 min read
BODMAS rule defines the correct sequence in which operations are to be performed in a given mathematical expression to find its value.
B = Bracket - O = Order (Powers, Square Roots, etc.)
D M = Division and Multiplication (left-to-right) - AS = Addition and Subtraction (left-to-right)
While simplifying an expression, the following order must be followed.
Do operations in brackets first, strictly in the order [ { ( ) } ]
Evaluate exponents (powers, roots, etc.)
Perform division and multiplication (division and multiplication rank equally and are solved left to right).
Perform addition and subtraction (addition and subtraction rank equally and are done left to right).

Examples (a) 17 + 22 ÷ 11 × (18 ÷ 3)2 - 13
= 17 + 22 ÷ 11 × 62 - 13 ( exponents)
= 17 + 2 × 36 - 13 ( division and multiplication, left to right)
= 89 - 13 ( division and multiplication, left to right)
= 9 + 14 - 6 + 2 ( addition and subtraction, left to right)
= 17 + 2 (division and multiplication, left to right)
= 7 + 8 (|x| = x; if x ? 0
= - x; if x < 0

For example |48| = | - 48| = 48


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