Unlocking the Mathematical Mystery of 48 10209-48-9
Understanding a Complex Mathematical Expression
Today, we'll dive into a complex mathematical expression: 48 10209-48-9. This article aims to break down the steps necessary to simplify and solve such expressions, providing a thorough explanation of the BODMAS principle, which is fundamental in mathematical operations.
What is BODMAS?
BODMAS is an acronym that stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction. It is a mnemonic to help remember the order of operations in mathematics. Ensuring that we follow the BODMAS principle accurately allows us to solve complex expressions systematically and consistently.
Step-by-Step Solution of 48 10209-48-9
Let's start by breaking down the expression 48 10209-48-9 step by step.
1. Identify and Simplify Brackets
The expression is straightforward, so there are no brackets to simplify. However, if we were to imagine a structure like (48 10209) – (48 – 9), we would need to follow the BODMAS principle to solve it. In our case, since the numbers are directly connected, we proceed to the next step.
2. Address Orders
There are no orders (such as exponents) in this expression, so we skip this step.
3. Division and Multiplication
Again, there are no division or multiplication operations in this specific expression, so we move on to the next step.
4. Addition and Subtraction
This is where the main action takes place. We need to evaluate the expression from left to right, performing addition and subtraction as we go. Let's solve it step by step:
Mathematically, the expression is interpreted as: 48 10209-48-9 1. First, we have 48 left of the dash, which is simply 48. 2. Then, we have 10209 - 48 10161. 3. Finally, we subtract 9 from 10161, which gives us 10161 - 9 10152. Thus, the expression 48 10209-48-9 simplifies to 10152. **Note:** The given solution seems to have a discrepancy due to the misunderstanding of the expression. The correct interpretation should follow the order of operations and yield the result 1494, not 153.**
Let's correct the misunderstanding and simplify the expression correctly:
1. Evaluate the initial expression: 48 10209-48-9 2. According to BODMAS, we perform the operations from left to right. 3. 48 10209-48-9 simplifies to: (48 * 10209) - 48 - 9 4. Calculate 48 * 10209 489936 5. Then, subtract 48: 489936 - 48 489888 6. Finally, subtract 9: 489888 - 9 489879 The correct simplified value of 48 10209-48-9 is 489879.
Conclusion
Mastering the BODMAS principle is crucial for solving complex mathematical expressions. In this case, the expression 48 10209-48-9 simplifies correctly to 489879. Understanding and applying the proper order of operations ensures accurate and consistent results in mathematics.
Keywords: 48 10209-48-9, BODMAS, Mathematical Operations, Simplifying Expressions