Correctly answering complex expressions in mathematics requires an awareness of the sequence in which operations are carried out. Brackets, Orders (such as powers and square roots), Division, Multiplication, Addition, and Subtraction are all included in the acronym BODMAS. When addressing mathematical problems that involve multiple operations, this rule assists students in adhering to the proper order of operations. This post will discuss different BODMAS problems for eighth-grade students, how to use the rule, and how crucial it is to understand BODMAS in order to solve mathematical expressions quickly.
BODMAS: What is it?
A collection of guidelines known as BODMAS is used to establish the sequence in which mathematical operations are carried out. The following is the complete form of BODMAS:
B: Brackets: Start by solving expressions enclosed in brackets. This comprises curly braces {}, square brackets [], and parentheses ().
O-Orders: This includes square roots, powers, and exponents. Deal with orders like 2 3 2 3 or 16 16 after the brackets.
D: Division: Orders and brackets are followed by division.
M stands for multiplication, which is done from left to right following division.
A: Addition is a left-to-right operation that comes after multiplication and division.
S-Subtraction: The last operation in the series, subtraction is carried out from left to right.
Students can accurately solve mathematical problems involving numerous operations by adhering to this rule.
What Makes BODMAS Vital?
When working with mathematical formulas that involve multiple operations, BODMAS is crucial since it avoids misunderstandings. For example, the phrase 8 + 3 × 2 requires that the multiplication be done first (per BODMAS), producing the answer 14, as opposed to adding 8 and 3 first, which would provide 11. This demonstrates how the BODMAS rule guarantees that the right answer is found.
In the absence of BODMAS, students’ solutions to the identical issue would vary according on which operation they completed first. This guideline ensures uniformity and accuracy in solutions by standardizing mathematical computations. BODMAS is a key idea for methodically resolving issues in advanced math, algebra, and arithmetic.
Sample Class 8 Questions Using BODMAS
To help pupils in Class 8 better grasp the rule, let’s examine some real-world BODMAS questions:
Make the following expression simpler: 5 + (6×2)−3
Start by figuring out the multiplication included in brackets:
6×2 = 12 6×2 = 12.
At this point, the expression is 5 + 12 − 3.
Then, add and subtract from left to right as follows: 5 + 12 = 17 5 + 12 = 17 and 17 − 3 = 14.
Response: 14
Make the phrase simpler:
(9) × (2 + 4) ) (9−3) × (2+4)
First, figure out the statements that are enclosed in brackets: 2 + 4 = 6 and 9 − 3 = 6.
The phrase now reads 6 × 6 × 6.
Lastly, carry out the multiplication: 6 × 6 = 36.
36 is the response.
Make the phrase simpler:
7 + 4× 2 2 7 + 4× 2 2
Solve the exponent first: 2 2 = 4 2 2 = 4.
The expression now reads 7 + 4 × 4 7 + 4 × 4.
The multiplication should therefore be done as follows: 4 × 4 = 16.
Lastly, add the following: 7 + 16 = 23.
Response: 23
Make the phrase simpler:
8÷ 2× 5 8÷ 2× 5
First, divide the following: 8÷2 = 4.
Next, carry out the multiplication: 4×5 = 20.
Response: 20: Applying BODMAS to More Difficult Issues
As students advance in their education, they come across increasingly intricate formulations that need for the BODMAS rule to be used. For example:
Make the phrase simpler:
( 2 + 3)
× (four 2 −6))(2+3)×(four 2 −6)
First, solve the brackets: 2 + 3 = 5.
2+3 = 5 and 4.
Since 2 = 16 and 4 = 16, 16 − 6 = 10, 16 − 6 = 10.
The phrase now reads 5 × 10 10.
Do the multiplication:
5 × 10 = 50
5 × 10 = 50.
50 is the response.
Make the phrase simpler:
3 × (5 + 2) −4
3×(5+2 3)−4
First, figure out the exponent, which is 2 3 = 8.
The expression is now 3×(5 + 8)−4 instead of 3×(5 + 8)−4.
The bracket can be solved as follows: 5 + 8 = 13.
At this point, the expression is 3×13−4.
Do the following multiplication: 3 × 13 = 39.
The subtraction should be done last: 39 − 4 = 35.
The response is 35.
Algebra and BODMAS
Algebraic expression simplification is another important function of BODMAS. Examine the following algebraic expression:
3 + ( 4 − 2 ) ÷ 2
3x+(4y−2x)÷2
In this case, you must first simplify within the parenthesis:
4y−2x = 4y−2x
Next, simplify by dividing by two. When working with variables in particular, the sequence in which you approach such expressions becomes quite important. BODMAS makes sure you approach the tasks in the right order.
How to Become an Expert in BODMAS
Practice Often: It gets simpler to remember and accurately apply the order of operations the more you practice BODMAS issues. Begin with easy tasks and work your way up to more difficult ones.
Work Step-by-Step: Always tackle difficult issues one step at a time. To prevent confusion, write down every action you take. This will assist you in identifying any errors that may occur.
Employ parenthesis: To better envision the BODMAS order, it is helpful to mentally group phrases using parenthesis whenever you come across an expression that involves numerous operations.
Understand the Concept, Don’t Memorize: Although it’s crucial to commit the BODMAS rule to memory, it’s as critical to comprehend why each step is carried out in a specific order. You can use BODMAS more successfully if you understand its basic idea.
Conclusion: The Benefits of BODMAS for Students in Class 8
In conclusion, because it establishes the groundwork for more complex mathematical ideas, BODMAS is an essential rule for students to learn, especially those in Class 8. Students may confidently tackle a variety of mathematical problems, from basic arithmetic to intricate algebraic equations, by comprehending the proper order of operations. Students can enhance their problem-solving abilities and become more capable of handling mathematics issues outside of the classroom with consistent practice and a comprehension of the rules.