Understanding the BODMAS Rule with a Complex Expression: 1010–25011

When dealing with complex mathematical expressions, understanding the BODMAS rule is crucial for obtaining the correct answer. The expression 1010–25011 is one such example. Let's break down this problem step by step and understand how to solve it correctly using the BODMAS rule.

What is BODMAS?

The BODMAS rule, ororders of operations, is a mnemonic used to remember the order in which operations should be performed in a mathematical expression. The acronym BODMAS stands for:

Brackets Orders (i.e., powers and square roots, etc.) Division Multiplication Addition Subtraction

It ensures that operations are performed in the correct sequence to yield the right result.

Solving the Problem: 1010–25011

To solve the expression 1010–25011, let's apply the BODMAS rule:

Brackets: There are no brackets in this expression, so we move on to the next rule. Orders: There are no orders (powers or roots) in this expression, so we skip this step. Division: There is no explicit division in the expression. However, we can interpret '25011' as 25 times; 0.11. Multiplication: Calculate 25 times; 0.11. Addition/Multiplication: Since there is a subtraction, we perform the multiplication first. Subtraction: Finally, perform the subtraction.

Step-by-step solution:

Interpret 25011 as 25 times; 0.11. 25 times; 0.11 2.75. Solve the expression 1010 – 2.75. 1010 – 2.75 1007.25. The final answer is 1007.25.

Correct Solution Explanation

The original expression given is 1010–25011. The correct interpretation of this expression could be:

1010 – (25 times; 0.11) 1010 – 2.75 1007.25

However, it seems that the expression intended is a different form:

Interpret the expression as 1010 – (25 times; 0.1)11. 25 times; 0.1 2.5. So, the expression becomes: 1010 – 2.511. Since 2.511 is a very small number (approximately 2.5), the expression can be simplified to: 1010 – 2.5 22.

This solution is based on the BODMAS rule, where division and multiplication are performed before addition and subtraction, and the interpretation of the expression is crucial to obtaining the correct result.

Conclusion

Mastering the BODMAS rule helps in accurately solving complex mathematical expressions. Understanding the interpretation of symbols and operations is essential in obtaining consistent and correct answers. The expression 1010–25011 can have multiple interpretations, and the correct answer is 22 when interpreted as 1010 – 2.511.

Keywords: BODMAS Rule, Mathematical Expression, Order of Operations