Introduction

Ready to dive into the thrilling world of indicated operations? When it comes to math, indicated operations are like a roadmap that guides us through calculations, ensuring we reach precise and reliable results. It’s not just about crunching numbers; it’s about following specific mathematical principles and wielding the power of the order of operations like a master strategist.

Think of it as a captivating adventure where every step brings us closer to the final destination. Each operation—addition, subtraction, multiplication, and division—is like a puzzle piece that we meticulously assemble, following the rules to unlock the secrets of the mathematical universe. So, let’s embark on this exciting journey and uncover the intricacies of performing indicated operations with flair and finesse!

The Order of Operations

The order of operations is our trusted guide, laying out the sequence in which we tackle mathematical expressions. It’s like a math symphony, where each operation plays its part in perfect harmony. First up, we tackle parentheses, those charming brackets that hold special surprises. Within these parentheses, we perform all the operations tucked snugly inside, treating them as our top priority.

Next in line are exponents, those superscripts that pack a punch. We calculate their power before moving on to the rest of the expression. Think of them as VIPs in the math world, demanding our immediate attention.

Now, let’s deal with multiplication and division, those operations that share equal footing. We tackle them from left to right, respecting their order of appearance. It’s like a relay race, where each operation passes the baton to the next.

Finally, we come to addition and subtraction, the workhorses of math. Again, we tackle them from left to right, one step at a time. It’s like building a wall, where each brick—each number—is carefully placed to create a sturdy structure.

So, there you have it—the order of operations, our trusty compass in the vast sea of mathematical expressions. By following these rules, we can navigate these expressions with confidence, ensuring our calculations are as accurate as a Swiss watch!

Perform the Indicated Operation

We encounter mathematical expressions that require us to perform specific operations in a particular order. These expressions often contain a mix of numbers, variables, and operators, and it’s crucial to follow the correct order of operations to arrive at the correct result.

Steps to Perform Indicated Operations

Parentheses, Brackets, and Braces

The first step is to identify any parentheses, brackets, or braces within the expression. These symbols indicate that the operations within them should be performed first. Start with the innermost set of parentheses and work your way outward, performing the operations within each set.

Consider the expression:

(3 + 4) * 5

We start by evaluating the operations within the parentheses:

(3 + 4) = 7

Then, we multiply the result by 5:

7 * 5 = 35

Exponents

After dealing with parentheses, the next step is to evaluate any exponents. Exponents indicate the power to which a number is raised. Perform the exponentiation from left to right.

For example:

2^3 + 5^2

First, we evaluate the exponents:

2^3 = 8
5^2 = 25

Then, we perform the addition:

8 + 25 = 33

Multiplication and Division

Next, we perform multiplication and division operations from left to right. Multiplication is represented by the symbol "×" or "*", while division is represented by the symbol "÷" or "/".

Consider:

12 ÷ 3 * 4

First, we divide 12 by 3:

12 ÷ 3 = 4

Then, we multiply 4 by 4:

4 * 4 = 16

Addition and Subtraction

Finally, we perform addition and subtraction operations from left to right. Addition is represented by the symbol "+", while subtraction is represented by the symbol "-".

For instance:

10 - 5 + 3

First, we subtract 5 from 10:

10 - 5 = 5

Then, we add 3 to 5:

5 + 3 = 8

Perform the Indicated Operation

We’ve all heard the phrase, “perform the indicated operation,” but what does it mean? In mathematics, “performing an operation” generally means adding, subtracting, multiplying or dividing two numbers, with the operation being indicated by a mathematical symbol. The indicated operation is the mathematical operation that is to be performed on the given numbers.

For example, if we are given the expression “3 + 4,” the indicated operation is addition, and the answer is 7. Similarly, if we are given the expression “5 – 2,” the indicated operation is subtraction, and the answer is 3.

Order of Operations

When we have an expression with multiple operations, we need to follow the order of operations to determine which operation to perform first. The order of operations is as follows:

1. Parentheses
2. Exponents
3. Multiplication and Division (performed left to right)
4. Addition and Subtraction (performed left to right)

For example, if we have the expression “(3 + 4) x 5,” we first perform the operation inside the parentheses, which is addition. This gives us 3 + 4 = 7. Then, we multiply 7 by 5, which gives us 35.

Another example is the expression “2^3 + 4 – 5.” First, we evaluate the exponent, which gives us 2^3 = 8. Then, we perform the multiplication and division from left to right, which gives us 8 + 4 = 12. Finally, we perform the addition and subtraction from left to right, which gives us 12 – 5 = 7.

The order of operations is important because it tells us which operation to perform first, which can affect the answer. For example, if we were to perform the addition and subtraction in the last example before the multiplication and division, we would get a different answer: 2^3 + 4 – 5 = 2^1 = 2. This is why it is important to follow the order of operations when performing mathematical operations.

Perform the Indicated Operation

When you’re given a mathematical expression, you may need to perform the indicated operation or operations to find the answer. Here’s a step-by-step guide on how to do it effectively and accurately!

Order of Operations

When performing multiple operations in an expression, it’s essential to follow the order of operations to ensure the correct result. This order is as follows:

1. Parentheses first
2. Exponents next
3. Multiplication and division from left to right
4. Addition and subtraction from left to right

Examples

Let’s take a closer look at a couple of examples to solidify our understanding of the order of operations:

**Example 1:**
If we have 2 + (3 × 4) – 5, we would first perform the operation within the parentheses: 3 × 4 = 12. Then, we would perform the addition and subtraction following the order of operations: 2 + 12 – 5 = 9.

**Example 2:**
What about 3² – (5 – 2) × 4? First, we evaluate the exponent: 3² = 9. Then, we perform the subtraction within the parentheses: 5 – 2 = 3. Finally, we multiply and subtract: 9 – (3 × 4) = 9 – 12 = -3.

Conclusion

Remember, performing the indicated operation(s) requires careful attention to the order of operations. By following the steps outlined above, you can confidently tackle any mathematical expression and find the correct answer. So, the next time you’re given a calculation to perform, don’t hesitate to put these techniques into practice and see how much easier it becomes!