Solving the Arithmetic Expression: 2 3 - 5 - 2 ÷ 4 -0.5

Mathematics can be a challenging but rewarding discipline, especially when you break down complex expressions into simpler components. In this article, we will walk you through the step-by-step process to solve the following arithmetic expression: 2 3 - 5 - 2 ÷ 4. By understanding the operations and following the correct order, you can arrive at the solution, which is -0.5.

Breaking Down the Expression

The given expression is 2 3 - 5 - 2 ÷ 4.

Step 1: Identify the Operations

First, identify the operations in the expression:

2 3 5 - 2 ÷ 4

Step 2: Determine the Order of Operations

According to the order of operations (PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), we need to perform division before subtraction.

Step 3: Perform the Division First

Let's focus on the part of the expression that involves division: 2 ÷ 4 0.5.

Step 4: Simplify Further

Now, the expression simplifies to: 2 3 - 5 - 0.5.

Step 5: Perform Subtraction

Let's break it down further:

2 3 5 (2 plus 3 equals 5) 5 - 5 0 0 - 0.5 -0.5

Therefore, the value of the expression 2 3 - 5 - 2 ÷ 4 is -0.5.

Additional Examples

Let's now provide a few additional examples and solutions to consolidate your understanding:

Example 1: 23 - 5 - 2 ÷ 4

23 - 5 - 2 ÷ 4 can be broken down as follows:

23 5 (2 plus 3) 5 - 5 0 (5 minus 5) 0 - 2 ÷ 4 0 - 0.5 (0 minus 2 divided by 4) 0 - 0.5 -0.5 (final result)

Example 2: 235 - 2 ÷ 4

235 - 2 ÷ 4 can be simplified as follows:

235 5 (2 plus 3 plus 5) 5 - 2 ÷ 4 5 - 0.5 (5 minus 2 divided by 4) 5 - 0.5 4.5 (final result)

Example 3: 5 - 5 - 2 ÷ 4

5 - 5 - 2 ÷ 4 can be solved as follows:

5 - 5 0 (5 minus 5) 0 - 2 ÷ 4 0 - 0.5 (0 minus 2 divided by 4) 0 - 0.5 -0.5 (final result)

Conclusion

Mathematics is all about breaking down complex expressions into manageable parts. By understanding the order of operations and practicing similar problems, you can enhance your problem-solving skills and develop a strong foundation in arithmetic.

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