Introduction
Mathematical expressions often involve a combination of numbers, operators, and variables that need to be evaluated to find their value. In this article, we will focus on the expression 25 3 2 1 3 and explore the step-by-step process of evaluating it. By understanding the mathematical rules and order of operations, we can solve this expression correctly.
Mathematical Operations and Order of Operations
Before diving into evaluating the expression 25 3 2 1 3, let’s review some basic mathematical operations and the order of operations:
- Addition (+): Combines two numbers to find their sum.
- Subtraction (-): Finds the difference between two numbers.
- Multiplication (*): Multiplies two numbers together.
- Division (/): Divides one number by another.
The order of operations states that calculations should be performed in a specific sequence:
- Parentheses: Perform operations inside parentheses first.
- Exponents: Evaluate expressions with exponents.
- Multiplication and Division: Perform these operations from left to right.
- Addition and Subtraction: Perform these operations from left to right.
Evaluating the Expression
Now, let’s evaluate the expression 25 3 2 1 3 step by step:
- Start from left to right: In this case, we first encounter the numbers 25 and 3.
- Perform the operation: Since there is no operator (+, -, *, /) between 25 and 3, they are considered consecutive numbers without an operation and are read together. This means 25 is considered as one number, so we can rewrite the expression as:
- 25 3 2 1 3 = 253 2 1 3
- Repeat the process: Continue combining consecutive numbers without operators:
- 253 2 1 3 = 2532 1 3
- 2532 1 3 = 25321 3
- Perform addition: Now, we have the expression 25321 3. We need to add the numbers 25321 and 3 together:
- 25321 + 3 = 25324
Final Evaluation
After following the steps above, we have successfully evaluated the expression 25 3 2 1 3. The final result is 25324.
Conclusion
In mathematics, it is essential to follow the order of operations when evaluating expressions to ensure accuracy in calculations. By understanding the rules of mathematical operations and the correct sequence of performing them, we can solve expressions like 25 3 2 1 3 correctly. Remember to take your time, follow the steps carefully, and double-check your calculations to arrive at the correct answer.
