Understanding Mathematical Operations: The Power of BODMAS

Mathematics is a fundamental aspect of our daily lives, and it is essential to have a strong grasp of the basic operations and rules to solve complex problems. One such rule that simplifies the process of solving algebraic expressions is the BODMAS rule. BODMAS stands for Brackets, Orders (such as powers and roots), Division, Multiplication, Addition, and Subtraction. Today, we will explore the application of the BODMAS rule using various expressions, such as {2×2÷24}

Applying BODMAS: {2×2÷24} ×11

To begin with, let's break down the expression {2×2÷24} ×11 using the BODMAS rule. The expression can be evaluated step-by-step as follows:

First, handle the operations inside the brackets. According to the BODMAS rule, division comes before the bracket part: 2÷2 1Next, multiply 2 by the result of the division: 2 × 1 2Now, divide the result by 24: 2 ÷ 24 1/12 or approximately 0.083Finally, multiply the result by 11: 0.083 × 11 0.913 or 6/7

The correct expression after applying BODMAS to {2×2÷24} ×11 is {6/7} × 11. When evaluated, this gives a result of 66, not 90 as suggested. The steps are as follows:

Common Misconceptions and Correct FracTions

Understanding the correct order of operations is crucial, as misinterpretations can lead to incorrect results. For instance, with the expression {2×2÷24} ×19, the correct evaluation is:

Similarly, for {2×2÷24} ×17, the correct evaluation is:

Understanding {2×2÷24}

The expression {2×2÷24} involves simple multiplication and division. According to the BODMAS rule, division takes precedence over multiplication. Hence, we first calculate 2÷2 1, followed by 2×1 2, and finally 2÷24 1/12. This fraction can be further simplified and used in further calculations.

Conclusion

The importance of the BODMAS rule cannot be overstated. Mastering this rule will help you solve mathematical problems efficiently and accurately. Whether you are dealing with basic arithmetic or complex algebraic expressions, understanding and applying BODMAS will ensure that you obtain the correct results. Practice various expressions like {2×2÷24} to sharpen your skills and reinforce your understanding of mathematical operations.