Blank ÷ (-7) = -14 What Is The Answer To Blank?

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Introduction

In this article, we will delve into the world of mathematics and explore the concept of division with negative numbers. We will examine the given equation, blank ÷ (-7) = -14, and determine the value of the unknown variable, blank. This equation is a fundamental concept in algebra and is essential for understanding more complex mathematical operations.

Understanding Division with Negative Numbers

Division is a mathematical operation that involves finding the quotient of two numbers. When we divide a number by another number, we are essentially asking how many times the divisor fits into the dividend. However, when we deal with negative numbers, the concept of division becomes more complex.

A negative number is a number that is less than zero. When we divide a negative number by another number, the result can be either positive or negative, depending on the signs of the numbers involved. In the case of the given equation, blank ÷ (-7) = -14, we are dealing with a negative divisor and a negative quotient.

Solving the Equation

To solve the equation blank ÷ (-7) = -14, we need to isolate the variable blank. We can do this by multiplying both sides of the equation by the divisor, (-7). This will cancel out the division and allow us to solve for blank.

blank ÷ (-7) = -14
blank = -14 × (-7)

When we multiply a negative number by another negative number, the result is a positive number. Therefore, the equation becomes:

blank = 98

Conclusion

In conclusion, the value of the unknown variable, blank, is 98. This is the solution to the equation blank ÷ (-7) = -14. We used the concept of division with negative numbers to solve the equation and isolate the variable blank.

Real-World Applications

Understanding division with negative numbers has numerous real-world applications. In finance, for example, a negative return on investment can be calculated by dividing the loss by the initial investment. In science, the concept of negative numbers is used to represent temperatures below zero and to calculate the energy required to heat or cool a substance.

Tips and Tricks

When dealing with division with negative numbers, it's essential to remember the following tips and tricks:

  • When dividing a negative number by a negative number, the result is a positive number.
  • When dividing a positive number by a negative number, the result is a negative number.
  • When dividing a negative number by a positive number, the result is a negative number.

By following these tips and tricks, you can confidently solve equations involving division with negative numbers.

Frequently Asked Questions

Q: What is the value of blank in the equation blank ÷ (-7) = -14? A: The value of blank is 98.

Q: How do I solve an equation involving division with negative numbers? A: To solve an equation involving division with negative numbers, multiply both sides of the equation by the divisor to cancel out the division.

Q: What are some real-world applications of division with negative numbers? A: Division with negative numbers has numerous real-world applications, including finance and science.

Final Thoughts

In conclusion, solving the equation blank ÷ (-7) = -14 requires an understanding of division with negative numbers. By following the steps outlined in this article, you can confidently solve equations involving division with negative numbers and apply this concept to real-world problems.

Introduction

In our previous article, we explored the concept of division with negative numbers and solved the equation blank ÷ (-7) = -14. In this article, we will answer some frequently asked questions related to division with negative numbers.

Q&A

Q: What is the difference between dividing a positive number by a negative number and dividing a negative number by a positive number?

A: When you divide a positive number by a negative number, the result is a negative number. When you divide a negative number by a positive number, the result is also a negative number. However, when you divide a negative number by a negative number, the result is a positive number.

Q: How do I know whether to multiply or divide when dealing with negative numbers?

A: When dealing with negative numbers, it's essential to remember the following rules:

  • When multiplying two negative numbers, the result is a positive number.
  • When multiplying a negative number and a positive number, the result is a negative number.
  • When dividing two negative numbers, the result is a positive number.
  • When dividing a negative number and a positive number, the result is a negative number.

Q: Can you provide an example of how to solve an equation involving division with negative numbers?

A: Let's consider the equation x ÷ (-3) = 4. To solve for x, we can multiply both sides of the equation by -3, which gives us:

x = 4 × (-3) x = -12

Q: What are some common mistakes to avoid when dealing with division with negative numbers?

A: Some common mistakes to avoid when dealing with division with negative numbers include:

  • Not paying attention to the signs of the numbers involved.
  • Not following the rules for multiplying and dividing negative numbers.
  • Not checking the result to ensure it is correct.

Q: How do I apply division with negative numbers to real-world problems?

A: Division with negative numbers has numerous real-world applications, including finance and science. For example, in finance, a negative return on investment can be calculated by dividing the loss by the initial investment. In science, the concept of negative numbers is used to represent temperatures below zero and to calculate the energy required to heat or cool a substance.

Q: Can you provide some tips for simplifying equations involving division with negative numbers?

A: Here are some tips for simplifying equations involving division with negative numbers:

  • Use the rules for multiplying and dividing negative numbers to simplify the equation.
  • Check the result to ensure it is correct.
  • Use a calculator or computer to check the result if necessary.

Q: What are some common applications of division with negative numbers in finance?

A: Division with negative numbers has numerous applications in finance, including:

  • Calculating the return on investment (ROI) for a negative return.
  • Calculating the loss on an investment.
  • Calculating the interest rate on a loan.

Q: What are some common applications of division with negative numbers in science?

A: Division with negative numbers has numerous applications in science, including:

  • Calculating the energy required to heat or cool a substance.
  • Calculating the temperature of a substance below zero.
  • Calculating the pressure of a gas.

Conclusion

In conclusion, division with negative numbers is a fundamental concept in mathematics that has numerous real-world applications. By understanding the rules for multiplying and dividing negative numbers, you can confidently solve equations involving division with negative numbers and apply this concept to real-world problems.

Final Thoughts

Division with negative numbers is a complex concept that requires attention to detail and a thorough understanding of the rules for multiplying and dividing negative numbers. By following the tips and tricks outlined in this article, you can confidently solve equations involving division with negative numbers and apply this concept to real-world problems.