Which Multiplication Equation Represents The Problem?A. 21 × 6 , 720 = ? 21 \times 6,720 = ? 21 × 6 , 720 = ? B. ? × 6 , 720 = 21 ? \times 6,720 = 21 ? × 6 , 720 = 21 C. ? × 21 = 6 , 720 ? \times 21 = 6,720 ? × 21 = 6 , 720 D. 6 , 720 × 21 = ? 6,720 \times 21 = ? 6 , 720 × 21 = ?

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Introduction

Multiplication equations are a fundamental concept in mathematics, used to represent various real-world problems. In this article, we will explore the different forms of multiplication equations and identify which one represents a specific problem. We will examine four multiplication equations and analyze their structure to determine the correct representation.

Understanding Multiplication Equations

Multiplication equations are used to represent the product of two or more numbers. The equation is typically written in the form of:

a × b = c

where a and b are the factors, and c is the product.

Analyzing the Options

Let's analyze each of the four multiplication equations provided:

A. 21×6,720=?21 \times 6,720 = ?

This equation represents the product of 21 and 6,720. The question mark indicates that the product is unknown. This equation is a simple multiplication problem, where the factors are 21 and 6,720.

B. ?×6,720=21? \times 6,720 = 21

This equation represents the product of an unknown number and 6,720, which equals 21. The question mark indicates that the unknown number is not specified.

C. ?×21=6,720? \times 21 = 6,720

This equation represents the product of an unknown number and 21, which equals 6,720. The question mark indicates that the unknown number is not specified.

D. 6,720×21=?6,720 \times 21 = ?

This equation represents the product of 6,720 and 21. The question mark indicates that the product is unknown.

Which Equation Represents the Problem?

To determine which equation represents the problem, we need to analyze the structure of each equation. In equation A, the product is unknown, but the factors are specified. In equation B, the product is specified, but the unknown number is not specified. In equation C, the product is specified, but the unknown number is not specified. In equation D, the product is unknown, but the factors are specified.

Based on the analysis, we can conclude that equation C, ?×21=6,720? \times 21 = 6,720, represents the problem. This equation has a specified product (6,720) and an unknown number, which is the typical structure of a multiplication equation.

Conclusion

In conclusion, multiplication equations are used to represent various real-world problems. By analyzing the structure of each equation, we can determine which one represents the problem. In this article, we analyzed four multiplication equations and identified that equation C, ?×21=6,720? \times 21 = 6,720, represents the problem.

Key Takeaways

  • Multiplication equations are used to represent the product of two or more numbers.
  • The structure of a multiplication equation typically includes a specified product and an unknown number.
  • By analyzing the structure of each equation, we can determine which one represents the problem.

Frequently Asked Questions

Q: What is the product of 21 and 6,720?

A: The product of 21 and 6,720 is 141,120.

Q: What is the unknown number in equation C?

A: The unknown number in equation C is the number that, when multiplied by 21, equals 6,720.

Q: How do I determine which equation represents the problem?

A: To determine which equation represents the problem, analyze the structure of each equation. Look for the specified product and the unknown number.

References

Additional Resources

  • Khan Academy: Multiplication Equations
  • Math Open Reference: Multiplication Equation
  • Wolfram Alpha: Multiplication Equation

About the Author

Introduction

Multiplication equations are a fundamental concept in mathematics, used to represent various real-world problems. In our previous article, we explored the different forms of multiplication equations and identified which one represents a specific problem. In this article, we will answer some frequently asked questions about multiplication equations.

Q&A

Q: What is the difference between a multiplication equation and a division equation?

A: A multiplication equation represents the product of two or more numbers, while a division equation represents the quotient of two numbers.

Q: How do I determine which equation represents the problem?

A: To determine which equation represents the problem, analyze the structure of each equation. Look for the specified product and the unknown number.

Q: What is the product of 21 and 6,720?

A: The product of 21 and 6,720 is 141,120.

Q: What is the unknown number in equation C?

A: The unknown number in equation C is the number that, when multiplied by 21, equals 6,720.

Q: Can I use multiplication equations to represent real-world problems?

A: Yes, multiplication equations can be used to represent various real-world problems, such as calculating the area of a rectangle or the volume of a cube.

Q: How do I solve a multiplication equation?

A: To solve a multiplication equation, multiply the factors together to find the product.

Q: Can I use multiplication equations to represent problems with fractions?

A: Yes, multiplication equations can be used to represent problems with fractions. For example, 1/2 × 3/4 = 3/8.

Q: How do I determine the order of operations in a multiplication equation?

A: To determine the order of operations in a multiplication equation, follow the order of operations (PEMDAS):

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

Q: Can I use multiplication equations to represent problems with decimals?

A: Yes, multiplication equations can be used to represent problems with decimals. For example, 2.5 × 3.8 = 9.5.

Q: How do I convert a multiplication equation to a division equation?

A: To convert a multiplication equation to a division equation, divide both sides of the equation by the unknown number.

Q: Can I use multiplication equations to represent problems with negative numbers?

A: Yes, multiplication equations can be used to represent problems with negative numbers. For example, -3 × -4 = 12.

Conclusion

In conclusion, multiplication equations are a fundamental concept in mathematics, used to represent various real-world problems. By understanding the structure of multiplication equations and how to solve them, you can apply this knowledge to a wide range of problems.

Key Takeaways

  • Multiplication equations represent the product of two or more numbers.
  • The structure of a multiplication equation typically includes a specified product and an unknown number.
  • By analyzing the structure of each equation, you can determine which one represents the problem.
  • Multiplication equations can be used to represent real-world problems, such as calculating the area of a rectangle or the volume of a cube.

Frequently Asked Questions

Q: What is the product of 21 and 6,720?

A: The product of 21 and 6,720 is 141,120.

Q: What is the unknown number in equation C?

A: The unknown number in equation C is the number that, when multiplied by 21, equals 6,720.

Q: How do I determine which equation represents the problem?

A: To determine which equation represents the problem, analyze the structure of each equation. Look for the specified product and the unknown number.

References

Additional Resources

  • Khan Academy: Multiplication Equations
  • Math Open Reference: Multiplication Equation
  • Wolfram Alpha: Multiplication Equation

About the Author

The author is a mathematics educator with a passion for teaching and learning. They have extensive experience in teaching mathematics to students of all ages and levels. The author is committed to providing high-quality educational resources to students and educators worldwide.