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An arithmetic expression that involves multiple operations such as addition, subtraction, multiplication, and division are not easy to solve as compared to operations involving two numbers. BODMAS (or sometimes BIDMAS) is a simple acronym that helps you remember the order within which to solve calculations. In this article, we will discuss the Kerala PSC Important BODMAS Questions.
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BODMAS RULE
The BODMAS acronym is for:
Brackets (the parts of expression inside brackets and always come first).
Orders (numbers involving powers or square roots).
Division
Multiplication
Addition
Subtraction
In certain regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) is utilized, which is additionally the synonym of BODMAS.
It explains the order of operations to be performed while solving an expression. According to the BODMAS rule, if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by “Orders” (numbers involving powers or square roots)., then division, multiplication, addition and subtraction from left to right. Solving the expression in the wrong order will result in a wrong answer.
The “Order” in the BODMAS full form is also called “of”, which means the numbers which involve powers, square roots, etc. Check the Conditions and Rules in the below table to have a better understanding of using the BODMAS rule.
Conditions and Rules
1: Which Year First Assembly Election was held in Kerala?
|
Condition |
Rule |
| a +(b + c) = a + b + c | Open the bracket and only then add the terms. |
| a – (b + c) = a – b – c | Open the bracket and multiply the number with the negative sign with each term inside the bracket. (All positive terms will be negative and vice-versa) |
| a (b + c) = ab + ac | Multiply the outside term with each of the number inside of the bracket |
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Simplification Of Brackets
Simplification of brackets in expression means the expansion of brackets. We can remove brackets from an expression by using multiplication. We use multiplication over addition or subtraction. Generally, it can be written as:
x (y + z) = xy + xz
Notes: The order of brackets that can be simplified is (), {}, [].
(i) The terms inside the bracket are called like terms. We can solve this by two methods.
Method 1: Add the terms inside the bracket and multiply the number outside the bracket with the sum of the numbers inside the bracket.
Method 2: Multiply the outside terms with each number inside the bracket and add the products.
Ordering Mathematical Operations
|
B |
O |
D |
M |
A |
S |
|
Brackets |
Orders |
Divide |
Multiply |
Addition |
Subtract |
Kerala PSC Important BODMAS Questions
Given below are Kerala PSC Important BODMAS Questions.
1) 2 of 3 × (5 + 2)
Answer: 2 of 3 ×(5 + 2)
= 2 of 3 × 7( 5 + 2 = 7)
= 6 × 7 (2of 3 = 2 × 3 = 6)
= 42 ( 6 ×7 = 42)
2) 4 + 82 × (30 ÷ 5) = _?
Answer: =4 + 82 × 6
=82 = 64
= 4 + 64 × 6
= 64 × 6 = 384
= 4 + 384 = 388
3) 4 + 6 − 7 + 3 = _?
Answer: 4 + 6 = 10
10 − 7 = 3
3 + 3 = 6
4) 6 ÷ 2 + 7 × 4 = ?
Answer: 6 ÷ 2 = 3.
7 × 4 = 28.
3 + 28=31
5) 32 + 5 = ?
Answer: 32 = 3 × 3 = 9
9 +5 = 14
6) 9 (5+3)
Answer: Method 1:
9 (5 + 3)
= 9 * 8
= 72
Method 2:
9 (5 + 3)
= (9 * 5) + (9 * 3)
= 45 + 27 = 72
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