Calculate The Following Expression:$\[ 14 \cdot 8 + 6 \\]

Introduction

Mathematical expressions are a fundamental part of mathematics, and solving them is an essential skill for anyone who wants to excel in this field. In this article, we will focus on calculating a simple mathematical expression: $14 \cdot 8 + 6$. We will break down the solution into manageable steps, making it easy to understand and follow along.

Understanding the Expression

Before we start solving the expression, let's take a closer look at what it means. The expression $14 \cdot 8 + 6$ consists of two main parts: multiplication and addition.

• Multiplication: The first part of the expression is $14 \cdot 8$. This means that we need to multiply 14 by 8.
• Addition: The second part of the expression is $6$. This means that we need to add 6 to the result of the multiplication.

Step 1: Multiply 14 and 8

To multiply 14 and 8, we need to follow the order of operations (PEMDAS):

1. Multiply 14 and 8
2. Add 6 to the result

To multiply 14 and 8, we can use the following steps:

1. Multiply 10 and 8: $10 \cdot 8 = 80$
2. Multiply 4 and 8: $4 \cdot 8 = 32$
3. Add the results: $80 + 32 = 112$

So, the result of multiplying 14 and 8 is 112.

Step 2: Add 6 to the Result

Now that we have the result of the multiplication, we can add 6 to it:

$112 + 6 = 118$

Therefore, the final result of the expression $14 \cdot 8 + 6$ is 118.

Conclusion

In this article, we solved a simple mathematical expression: $14 \cdot 8 + 6$. We broke down the solution into manageable steps, making it easy to understand and follow along. By following the order of operations and using basic arithmetic operations, we were able to arrive at the final result of 118.

Tips and Tricks

Here are some tips and tricks to help you solve mathematical expressions like this one:

• Follow the order of operations: Make sure to follow the order of operations (PEMDAS) when solving mathematical expressions.
• Use basic arithmetic operations: Use basic arithmetic operations like addition, subtraction, multiplication, and division to solve mathematical expressions.
• Break down the solution: Break down the solution into manageable steps to make it easier to understand and follow along.

Common Mistakes

Here are some common mistakes to avoid when solving mathematical expressions like this one:

• Not following the order of operations: Make sure to follow the order of operations (PEMDAS) when solving mathematical expressions.
• Not using basic arithmetic operations: Use basic arithmetic operations like addition, subtraction, multiplication, and division to solve mathematical expressions.
• Not breaking down the solution: Break down the solution into manageable steps to make it easier to understand and follow along.

Real-World Applications

Mathematical expressions like this one have many real-world applications. Here are a few examples:

• Finance: Mathematical expressions are used in finance to calculate interest rates, investment returns, and other financial metrics.
• Science: Mathematical expressions are used in science to model complex systems, predict outcomes, and make informed decisions.
• Engineering: Mathematical expressions are used in engineering to design and optimize systems, predict outcomes, and make informed decisions.

Conclusion

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Introduction

In our previous article, we solved a simple mathematical expression: $14 \cdot 8 + 6$. We broke down the solution into manageable steps, making it easy to understand and follow along. In this article, we will answer some frequently asked questions about solving mathematical expressions.

Q: What is the order of operations?

A: The order of operations is a set of rules that tells us which operations to perform first when solving mathematical expressions. The order of operations is often remembered using the acronym PEMDAS:

1. P: Parentheses - Evaluate expressions inside parentheses first.
2. E: Exponents - Evaluate any exponential expressions next.
3. M: Multiplication and Division - Evaluate any multiplication and division operations from left to right.
4. A: Addition and Subtraction - Finally, evaluate any addition and subtraction operations from left to right.

Q: How do I evaluate expressions inside parentheses?

A: To evaluate expressions inside parentheses, simply follow the order of operations and evaluate the expression inside the parentheses first. For example, if we have the expression $(2 + 3) \cdot 4$, we would first evaluate the expression inside the parentheses: $2 + 3 = 5$. Then, we would multiply 5 by 4: $5 \cdot 4 = 20$.

Q: What is the difference between multiplication and division?

A: Multiplication and division are both arithmetic operations that involve combining numbers. The main difference between the two is that multiplication involves adding a number a certain number of times, while division involves sharing a number into equal groups.

For example, if we have the expression $4 \cdot 6$, we would multiply 4 by 6 by adding 4 together 6 times: $4 + 4 + 4 + 4 + 4 + 4 = 24$. On the other hand, if we have the expression $24 \div 6$, we would divide 24 into equal groups of 6: $24 \div 6 = 4$.

Q: How do I evaluate expressions with exponents?

A: To evaluate expressions with exponents, simply raise the base number to the power of the exponent. For example, if we have the expression $2^3$, we would raise 2 to the power of 3: $2^3 = 2 \cdot 2 \cdot 2 = 8$.

Q: What is the difference between addition and subtraction?

A: Addition and subtraction are both arithmetic operations that involve combining numbers. The main difference between the two is that addition involves combining numbers by adding them together, while subtraction involves finding the difference between two numbers.

For example, if we have the expression $4 + 6$, we would add 4 and 6 together: $4 + 6 = 10$. On the other hand, if we have the expression $10 - 4$, we would find the difference between 10 and 4: $10 - 4 = 6$.

Q: How do I evaluate expressions with multiple operations?

A: To evaluate expressions with multiple operations, simply follow the order of operations and evaluate the expression from left to right. For example, if we have the expression $3 + 2 \cdot 4$, we would first evaluate the multiplication operation: $2 \cdot 4 = 8$. Then, we would add 3 and 8: $3 + 8 = 11$.

Conclusion

In conclusion, solving mathematical expressions is an essential skill for anyone who wants to excel in mathematics. By following the order of operations and using basic arithmetic operations, we can arrive at the final result. Remember to break down the solution into manageable steps, and avoid common mistakes like not following the order of operations and not using basic arithmetic operations. With practice and patience, you can become proficient in solving mathematical expressions like this one.

Tips and Tricks

Here are some tips and tricks to help you solve mathematical expressions like this one:

• Follow the order of operations: Make sure to follow the order of operations (PEMDAS) when solving mathematical expressions.
• Use basic arithmetic operations: Use basic arithmetic operations like addition, subtraction, multiplication, and division to solve mathematical expressions.
• Break down the solution: Break down the solution into manageable steps to make it easier to understand and follow along.

Common Mistakes

Here are some common mistakes to avoid when solving mathematical expressions like this one:

• Not following the order of operations: Make sure to follow the order of operations (PEMDAS) when solving mathematical expressions.
• Not using basic arithmetic operations: Use basic arithmetic operations like addition, subtraction, multiplication, and division to solve mathematical expressions.
• Not breaking down the solution: Break down the solution into manageable steps to make it easier to understand and follow along.

Real-World Applications

Mathematical expressions like this one have many real-world applications. Here are a few examples:

• Finance: Mathematical expressions are used in finance to calculate interest rates, investment returns, and other financial metrics.
• Science: Mathematical expressions are used in science to model complex systems, predict outcomes, and make informed decisions.
• Engineering: Mathematical expressions are used in engineering to design and optimize systems, predict outcomes, and make informed decisions.