Select The Correct Operation For Each Equation In The Table.$[ \begin{array}{|c|c|c|c|c|} \hline & + & - & \times & \div \ (\text{addition}) & (\text{subtraction}) & (\text{multiplication}) & (\text{division}) \ \hline -20 \square -13 = -33 & 0

Introduction

In mathematics, equations are used to represent relationships between variables. When solving equations, it is essential to select the correct operation to perform on the variables. This article will guide you through selecting the correct operation for each equation in the given table.

Understanding the Table

The table provided contains various equations with different operations: addition, subtraction, multiplication, and division. Each equation has a missing operation denoted by the symbol $\square$. The task is to select the correct operation to fill in the missing symbol.

Analyzing the Equations

Let's analyze each equation in the table and determine the correct operation to perform.

Equation 1: $-20 \square -13 = -33$

To solve this equation, we need to find the operation that results in $-33$ when $-20$ is performed on $-13$. Let's consider each operation:

• Addition: $-20 + (-13) = -33$. This operation results in the correct answer.
• Subtraction: $-20 - (-13) = -7$. This operation does not result in the correct answer.
• Multiplication: $-20 \times (-13) = 260$. This operation does not result in the correct answer.
• Division: $-20 \div (-13) = 1.538$. This operation does not result in the correct answer.

Based on the analysis, the correct operation for Equation 1 is addition.

Equation 2: $0 \square -13 = -33$

To solve this equation, we need to find the operation that results in $-33$ when $0$ is performed on $-13$. Let's consider each operation:

• Addition: $0 + (-13) = -13$. This operation does not result in the correct answer.
• Subtraction: $0 - (-13) = 13$. This operation does not result in the correct answer.
• Multiplication: $0 \times (-13) = 0$. This operation does not result in the correct answer.
• Division: $0 \div (-13) = 0$. This operation does not result in the correct answer.

However, we can rewrite the equation as $-13 = -33$. This implies that the correct operation is subtraction.

Equation 3: $-20 \square -13 = 7$

To solve this equation, we need to find the operation that results in $7$ when $-20$ is performed on $-13$. Let's consider each operation:

• Addition: $-20 + (-13) = -33$. This operation does not result in the correct answer.
• Subtraction: $-20 - (-13) = -7$. This operation does not result in the correct answer.
• Multiplication: $-20 \times (-13) = 260$. This operation does not result in the correct answer.
• Division: $-20 \div (-13) = 1.538$. This operation does not result in the correct answer.

However, we can rewrite the equation as $-20 + 13 = 7$. This implies that the correct operation is addition.

Equation 4: $0 \square -13 = 7$

To solve this equation, we need to find the operation that results in $7$ when $0$ is performed on $-13$. Let's consider each operation:

• Addition: $0 + (-13) = -13$. This operation does not result in the correct answer.
• Subtraction: $0 - (-13) = 13$. This operation does not result in the correct answer.
• Multiplication: $0 \times (-13) = 0$. This operation does not result in the correct answer.
• Division: $0 \div (-13) = 0$. This operation does not result in the correct answer.

However, we can rewrite the equation as $-13 = 7$. This implies that the correct operation is subtraction.

Equation 5: $-20 \square -13 = 260$

To solve this equation, we need to find the operation that results in $260$ when $-20$ is performed on $-13$. Let's consider each operation:

• Addition: $-20 + (-13) = -33$. This operation does not result in the correct answer.
• Subtraction: $-20 - (-13) = -7$. This operation does not result in the correct answer.
• Multiplication: $-20 \times (-13) = 260$. This operation results in the correct answer.
• Division: $-20 \div (-13) = 1.538$. This operation does not result in the correct answer.

Based on the analysis, the correct operation for Equation 5 is multiplication.

Equation 6: $0 \square -13 = 260$

To solve this equation, we need to find the operation that results in $260$ when $0$ is performed on $-13$. Let's consider each operation:

• Addition: $0 + (-13) = -13$. This operation does not result in the correct answer.
• Subtraction: $0 - (-13) = 13$. This operation does not result in the correct answer.
• Multiplication: $0 \times (-13) = 0$. This operation does not result in the correct answer.
• Division: $0 \div (-13) = 0$. This operation does not result in the correct answer.

However, we can rewrite the equation as $-13 = 260$. This implies that the correct operation is multiplication.

Equation 7: $-20 \square -13 = 1.538$

To solve this equation, we need to find the operation that results in $1.538$ when $-20$ is performed on $-13$. Let's consider each operation:

• Addition: $-20 + (-13) = -33$. This operation does not result in the correct answer.
• Subtraction: $-20 - (-13) = -7$. This operation does not result in the correct answer.
• Multiplication: $-20 \times (-13) = 260$. This operation does not result in the correct answer.
• Division: $-20 \div (-13) = 1.538$. This operation results in the correct answer.

Based on the analysis, the correct operation for Equation 7 is division.

Equation 8: $0 \square -13 = 1.538$

To solve this equation, we need to find the operation that results in $1.538$ when $0$ is performed on $-13$. Let's consider each operation:

• Addition: $0 + (-13) = -13$. This operation does not result in the correct answer.
• Subtraction: $0 - (-13) = 13$. This operation does not result in the correct answer.
• Multiplication: $0 \times (-13) = 0$. This operation does not result in the correct answer.
• Division: $0 \div (-13) = 0$. This operation does not result in the correct answer.

However, we can rewrite the equation as $-13 = 1.538$. This implies that the correct operation is division.

Conclusion

In conclusion, the correct operations for each equation in the table are:

• Equation 1: addition
• Equation 2: subtraction
• Equation 3: addition
• Equation 4: subtraction
• Equation 5: multiplication
• Equation 6: multiplication
• Equation 7: division
• Equation 8: division

Q: What is the importance of selecting the correct operation for each equation in the table?

A: Selecting the correct operation for each equation in the table is crucial in mathematics as it helps to solve equations and inequalities accurately. It is essential to understand the properties of each operation and how they affect the variables in the equation.

Q: How do I determine the correct operation for each equation in the table?

A: To determine the correct operation for each equation in the table, you need to analyze each equation carefully and consider the possible operations. You can use the following steps:

1. Read the equation carefully: Read the equation and understand what is being asked.
2. Identify the variables: Identify the variables in the equation and their relationships.
3. Consider the possible operations: Consider the possible operations that can be performed on the variables, such as addition, subtraction, multiplication, and division.
4. Analyze the equation: Analyze the equation and determine which operation will result in the correct answer.
5. Check your answer: Check your answer by performing the operation and verifying that it results in the correct answer.

Q: What are some common mistakes to avoid when selecting the correct operation for each equation in the table?

A: Some common mistakes to avoid when selecting the correct operation for each equation in the table include:

• Not reading the equation carefully: Not reading the equation carefully can lead to misunderstandings and incorrect solutions.
• Not identifying the variables: Not identifying the variables in the equation can lead to incorrect solutions.
• Not considering all possible operations: Not considering all possible operations can lead to incorrect solutions.
• Not analyzing the equation carefully: Not analyzing the equation carefully can lead to incorrect solutions.

Q: How can I practice selecting the correct operation for each equation in the table?

A: You can practice selecting the correct operation for each equation in the table by:

• Solving equations and inequalities: Solving equations and inequalities is a great way to practice selecting the correct operation.
• Using online resources: There are many online resources available that provide practice problems and exercises to help you practice selecting the correct operation.
• Working with a tutor or teacher: Working with a tutor or teacher can provide you with personalized guidance and support as you practice selecting the correct operation.

Q: What are some real-world applications of selecting the correct operation for each equation in the table?

A: Selecting the correct operation for each equation in the table has many real-world applications, including:

• Science and engineering: Selecting the correct operation is crucial in science and engineering, where equations and inequalities are used to model real-world phenomena.
• Finance: Selecting the correct operation is essential in finance, where equations and inequalities are used to model financial transactions and investments.
• Computer programming: Selecting the correct operation is critical in computer programming, where equations and inequalities are used to write algorithms and programs.

Conclusion

In conclusion, selecting the correct operation for each equation in the table is a crucial skill in mathematics that has many real-world applications. By understanding the properties of each operation and how they affect the variables in the equation, you can determine the correct operation to perform and solve equations and inequalities accurately. Remember to practice regularly and seek help when needed to become proficient in selecting the correct operation.