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Mathematics forms the core of all defence exams and we must figure out ways to simplify our learning and solve problems in mathematics with ease. In this article, we will discuss the BODMAS rule and how to apply it. We will also share a BODMAS questions worksheet, to help you get mastery over using the tool.
What does the BODMAS rule imply?
The abbreviation BODMAS is used to aid students in remembering the sequence in calculations. Operations are the many mathematical functions that we may perform on numbers.
B:- Brackets
O:- Order
D:- Division
M:- Multiplication
A:- Addition
S:- Subtraction
The meaning of the word ‘order’ in BODMAS is misunderstood amongst students. Square roots / square numbers are simply referred to as order. BODMAS is sometimes referred to as BIDMAS. The I, in BIDMAS stands for indices, which are small digits used to denote that a number is multiplied by itself. Later, we’ll elaborate on BIDMAS.
The BODMAS rule states that any calculation occurring in brackets should be solved first, followed by calculating the square /square root of any number, and so on, with the subtraction calculations occurring last.
It’s crucial to note, though, that multiplying and dividing must be done in the sequence listed above, from left to right, whatever comes first. This holds for adding and subtracting as well.
Why is it vital to learn about BODMAS in math?
Simply said, the four operations are crucial to arithmetic learning, and students who don’t know which sequence to finish them in will fail to move through the calculations.
Another reason BODMAS is introduced in math courses is that it makes it far easier for students to remember which operation to do when faced with complicated problems.
After all, whenever you see a sum like this, it’s easy to feel overwhelmed:
14 – (2 × 2² + 5)
Examples of BODMAS in Action
Let’s consider an example of a BODMAS question that students can encounter.
10 × (4 + 2) = 10 × 6 = 60
We answer the problem in brackets first, which makes the problem easier to solve.
5 + 2² = 5 + 4 = 9
In the above example, we must first deal with the square number (O). We just put the two integers together after multiplying 2 by itself, obtaining 4.
10 + 6 ÷ 2 = 10 + 3 = 13
We finish the division issue (D) first in this case, leaving 3.
10 – 4 × 2 = 10 – 8 = 2
Similarly, before obtaining the answer to the issue above, we must multiply 4 by 2.
Similarly, before obtaining the answer to the issue above, we must multiply 4 by 2. 10 × 4 + 7 = 40 + 7 = 47
After finishing the multiplication, we must add (A) the two integers together in this issue (M). This is because multiplication comes first.
10 ÷ 2 – 3 = 5 – 3 = 2
After we’ve solved the division issue (D), we subtract the number (S). Again, this is because dividing comes before subtracting.
Order of operations worksheet
Here are a few BODMAS questions to solve:
Simplify 25– [20 – 10 – (7-5-3)]
Find the solution to 100–3 [20+ 50 – 40].
(8 -32) + 7
What is the solution to 50- [20 + 30- (20- 5)]?
Compute the amount of 150-[10 + 3- (20- 5)].
Determine the solution of 18 10 – 4 + 32 (4+ 10 2 – 1) using the BODMAS rule.
What will be the response to this question?5x ¼ ៖ 3/7+[45/24- 2/3+5/6 x 2/5 ]
1800 10 (24 – 12) + (24 – 6)
Determine the value of y using the rule: 8 = 36 2+y x 3–22
Determine the proper answer to the following question: (1/4 + 7/4) – 2
45×3 x7x[22/11+ 36/12]
Use the rule to answer this question: [2 + 2 {39-2 (17 + 2)}]
Solve this BODMAS problem (17 x 18) ៖ 10 x 2 (2+ 13)-25
Use the rule 2550 – [510 270 – (90- 80 + 70)] to solve this issue.
What would be the BODMAS question’s answer: [38 –46–(15-13 2)] 27 – [38 –46– (15- 13 2)]
Conclusion
To effectively solve math problems, mnemonics and abbreviations for formulas and rules help a lot. BODMAS rule is one such rule. Order of operations can easily be tackled using this easy to remember tool. Please practice the questions given in the order of operations worksheet to master solving math problems involving multiple operations.
