The answer is 12.
Introduction
Hey there, math enthusiasts! Have you ever stumbled upon a question that says, “Perform the indicated operation”? Well, don’t be daunted; it’s not rocket science. This phrase simply means carrying out a mathematical calculation based on the symbols or functions given. Whether you’re a seasoned pro or just starting to dip your toes into the world of numbers, let’s dive into the fascinating realm of performing indicated operations.
Understanding the Basics
Performing indicated operations is like following a recipe — it’s all about following the instructions step by step. The key is to break down the operation into smaller, manageable parts. For instance, if you’re asked to “simplify (2x + 5) – 3x,” start by isolating the like terms, then combine them. It’s like solving a puzzle; with each step, you get closer to the final solution.
The order of operations, often referred to as PEMDAS or BODMAS, is your trusty guide in this mathematical adventure. It stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Always start with the innermost parentheses and work your way outward, just like peeling an onion.
Remember, it’s not just about crunching numbers; it’s about understanding the underlying concepts. Ask yourself, “What does this operation represent?” Is it a measurement, a rate, or a ratio? Grasping the context helps you not only solve the problem but also appreciate the beauty of mathematics.
Types of Operations
The world of indicated operations is vast and varied. You’ll encounter a plethora of symbols and functions, each with its unique meaning. Addition (+), subtraction (-), multiplication (× or ⋅), and division (÷ or /) are your bread and butter. But don’t forget about exponents (^), radicals (√), and logarithms (log), which add a touch of sophistication.
As you progress, you’ll also meet more complex operations like derivatives and integrals, which are like the superheroes of the mathematical world. They allow you to delve into the intricate world of calculus and explore the captivating dance of change.
Applications in Real Life
Indicated operations aren’t just confined to the classroom; they’re also indispensable tools in the real world. From calculating the cost of groceries to determining the trajectory of a rocket, performing indicated operations plays a vital role in various fields. Engineers, scientists, accountants, and even musicians rely on these mathematical skills to make sense of the world around them.
Perform the Indicated Operation: A Comprehensive Guide
When faced with a mathematical expression, it’s crucial to understand the steps involved in performing the indicated operation. Whether you’re a seasoned mathematician or a novice seeking clarification, this guide is designed to help you navigate the process effortlessly.
Steps
1. Identify the Mathematical Expression or Problem
The first step involves identifying the given mathematical expression or problem. This could be a simple calculation like 2 + 2 or a more complex equation like (3x + 5) / (x – 2). Clearly understanding the problem is essential for proceeding with the next steps.
2. Determine the Operation or Function
Next, determine the operation or function you need to perform. This could range from basic arithmetic operations (addition, subtraction, multiplication, division) to more advanced functions (exponents, logarithms, derivatives). Once you’ve identified the operation, you’re ready to proceed.
3. Perform the Operation According to PEMDAS
PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) is the order of operations followed in mathematics. This helps ensure that you perform the operations in the correct sequence. For example, if you have an expression like 2 + 3 x 4, you would first multiply 3 by 4 and then add 2 to the result.
4. Simplify the Expression
After performing the operations, simplify the expression if possible. This could involve combining like terms, canceling out common factors, or performing any necessary algebraic manipulations. Simplifying the expression makes it easier to work with and ensures that the result is accurate.
5. Example
Let’s consider an example to illustrate these steps. Suppose we want to perform the indicated operation for the following expression: 2x + (3y – 5)
- Identify the mathematical expression: 2x + (3y – 5)
- Determine the operations: Addition and subtraction
- Perform the operations according to PEMDAS: First, we perform the operations within the parentheses: 3y – 5 becomes 3y – 5. Then, we add 2x to 3y – 5, which gives us 2x + 3y – 5.
- Simplify the expression: The expression is already in its simplest form. Therefore, our final result is 2x + 3y – 5.
Perform the indicated operation
It’s a phrase maths students hear all the time. They may not know how to do it, but they know they need to perform the indicated operation. But what does it mean to perform the indicated operation?
It doesn’t always require a calculator, as sometimes the operation can be done in one’s head. Multiplication, for example, is simply repeated addition. For instance, 4 x 5 can be thought of as 4 + 4 + 4 + 4 + 4.
Examples
Examples of performing indicated operations include:
- 5 + 3 (addition)
- 10 – 2 (subtraction)
- 4 x 5 (multiplication)
- 12 ÷ 3 (division)
- 2³ (exponent)
Perform the Indicated Operation
When you’re working on a math problem, your teacher might instruct you to “perform the indicated operation.” This simply means that you should follow the instructions given in the problem and carry out the specified mathematical operation. For example, if the problem says “add 5 and 7,” then you would perform the indicated operation by adding 5 and 7 together.
Understanding Mathematical Operations
Before you can perform the indicated operation, you need to understand the mathematical operations that are involved. The most common mathematical operations are addition, subtraction, multiplication, and division. Addition is the process of combining two or more numbers to get a total. Subtraction is the process of taking one number away from another. Multiplication is the process of multiplying two or more numbers together to get a product. Division is the process of dividing one number by another to get a quotient.
Following the Order of Operations
In addition to understanding the mathematical operations, you also need to follow the order of operations when performing the indicated operation. The order of operations tells you which operations to perform first, second, and so on. The order of operations is as follows:
- Parentheses first
- Exponents
- Multiplication and division (from left to right)
- Addition and subtraction (from left to right)
For example, if you have the problem “2 + 3 x 4,” you would first multiply 3 by 4 to get 12. Then, you would add 2 to 12 to get 14. This is because multiplication comes before addition in the order of operations.
Conclusion
Performing the indicated operation requires an understanding of mathematical operations and the ability to follow the order of operations. By following these steps, you can ensure that you are performing the indicated operation correctly.
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