What is BODMAS Rule | Examples - Pixabin

If you've ever solved a math problem involving multiple operations, you might have heard of the term "BODMAS rule." BODMAS rule stands for "Brackets, Orders, Division, Multiplication, Addition, and Subtraction," which is a set of rules used to simplify mathematical expressions containing multiple operations.

The BODMAS rule is also known as the "order of operations" or the "PEMDAS rule," which is an acronym that stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction." Both BODMAS and PEMDAS follow the same order of operations, with slight variations in terminology.

The BODMAS rule is essential in solving complex mathematical expressions and ensuring that everyone arrives at the same answer. Without it, there would be confusion and ambiguity in mathematical calculations.

The order of operations determines the sequence in which you perform the different operations in a mathematical expression.

Here's how the BODMAS rule works:

1. Brackets: Perform any calculations inside the brackets first, working from the innermost brackets to the outermost ones.
2. Orders: Simplify any expressions involving exponents or square roots.
3. Division and Multiplication: Perform any division or multiplication operations in the order they appear, from left to right.
4. Addition and Subtraction: Perform any addition or subtraction operations in the order they appear, from left to right.

Let's take a simple example to illustrate how the BODMAS rule works. Consider the expression:

5 + 3 x 2 ÷ (6 - 2)

Following the BODMAS rule, we start with the brackets:

5 + 3 x 2 ÷ 4

Next, we perform any exponent or square root operations (which don't apply in this case).

Moving on to division and multiplication, we perform the division operation first:

5 + 3 x 0.5

Then, we perform the multiplication operation:

5 + 1.5

Finally, we perform the addition operation:

6.5

Therefore, the answer to the expression is 6.5.

Some Extra examples of mathematical expressions that can be solved using the BODMAS rule:

1. 10 ÷ (2 + 3) x 4 Using BODMAS,
   • we first solve the bracket: 10 ÷ 5 x 4
   • Next, we perform division first: 2 x 4
   • Finally, we perform multiplication: 8
   • Therefore, the answer to the expression is 8.
2. 5 + 2 x 3² - 4 Using BODMAS,
   • we first solve the exponent: 5 + 2 x 9 - 4
   • Next, we perform multiplication: 5 + 18 - 4
   • Finally, we perform addition and subtraction: 19
   • Therefore, the answer to the expression is 19.
3. (4 + 3) x 2 - 5 ÷ 5 Using BODMAS,
   • we first solve the bracket: 7 x 2 - 1
   • Next, we perform multiplication: 14 - 1
   • Finally, we perform subtraction: 13
   • Therefore, the answer to the expression is 13.
4. 2² x 3³ ÷ 6 Using BODMAS,
   • we first solve the exponents: 4 x 27 ÷ 6
   • Next, we perform multiplication: 108 ÷ 6
   • Finally, we perform division: 18
   • Therefore, the answer to the expression is 18.
5. 10 - 2 x (5 - 2) + 4 Using BODMAS,
   • we first solve the bracket: 10 - 2 x 3 + 4
   • Next, we perform multiplication: 10 - 6 + 4
   • Finally, we perform addition and subtraction: 8
   • Therefore, the answer to the expression is 8.

These examples show how the BODMAS rule can be used to solve expressions with multiple operations, by following the correct order of operations.

The BODMAS rule is also useful in solving more complex mathematical problems, such as algebraic expressions, trigonometric functions, and calculus problems. By following the BODMAS rule, you can simplify expressions and solve problems step by step.

Final Words

the BODMAS rule is a crucial tool in mathematics that helps us solve complex expressions and arrive at the correct answer. Without it, mathematical calculations would be prone to error and ambiguity. By following the BODMAS rule, you can simplify complex expressions and solve mathematical problems with ease.