Understanding BODMAS: A Step-by-Step Guide to Solving Equations

Are you confused about how to solve equations like 5-6×50×4? In this article, we will delve into a simple but effective method known as BODMAS, which stands for Brackets, Orders, Division and Multiplication, Addition and Subtraction. This guide will help you understand the correct order of operations in solving mathematical equations. Let's start with a detailed explanation of the BODMAS method.

What is BODMAS?

BODMAS is an acronym that outlines the order of operations in mathematics. The acronym stands for the following:

B - Brackets O - Orders (or Indices, Powers, and Square Roots) D - Division M - Multiplication A - Addition S - Subtraction

Essentially, BODMAS provides a clear sequence of steps to follow when solving complex mathematical expressions. This method ensures that every expression is solved in a consistent manner, making it easier to arrive at the correct answer.

How to Apply BODMAS

Let's use the equation 5-6×50×4 as an example to understand how to apply the BODMAS method. Follow these steps:

Brackets: There are no brackets in the equation, so we can skip this step. Orders (Powers and Square Roots): There are no powers or square roots in the equation, so we can skip this step. Division: There are no divisions in the equation, so we can skip this step. Multiplication: We need to perform the multiplication next. According to BODMAS, multiplication comes before addition and subtraction. So, we multiply 6 by 50 and then 4:

5 - 6 × 50 × 4 - First, multiply 6 by 50: 6 × 50 300 - Next, multiply 300 by 4: 300 × 4 1200

Addition and Subtraction: Now that we have done the multiplication, we perform the addition and subtraction. Since there is only subtraction in this equation, we need to subtract 1200 from 5:

5 - 1200 -1195

Explanation of Each Step

Let's break down each step in more detail:

1. Brackets

Brackets (also known as parentheses or braces) are used to group expressions. If there were brackets in the equation, we would first need to solve the expressions inside the brackets before moving on to the next step.

2. Orders (Powers and Square Roots)

Orders refer to exponents, powers, or square roots. If the equation contained any powers or square roots, we would need to solve them before moving on to the next step in BODMAS.

3. Division

Division is the next step in the BODMAS order. If there were any division operations in the equation, we would perform them before moving on to the next steps.

4. Multiplication

Multiplication is performed before addition and subtraction. This is crucial for ensuring that the correct answer is obtained. In our example, we first multiplied 6 by 50 and then by 4.

5. Addition and Subtraction

Finally, we perform addition and subtraction in the order in which they appear from left to right. In our equation, we only needed to perform subtraction.

Conclusion

Solving equations like 5-6×50×4 can be straightforward when you understand and apply the BODMAS method. By following the correct order of operations, you can ensure that you solve any equation accurately and efficiently. Remember, the key is to perform multiplication before addition and subtraction. This method not only simplifies complex equations but also helps in avoiding common mistakes.

References

For further reading and to explore the topic in more depth, you may refer to any standard algebra textbook or online resources that cover the order of operations in mathematics.