Janelle Subtracts -4 From A Number. The Result Is 2. What Is The Number?A. $-6$B. $-2$C. 2D. 6
Introduction
In this article, we will delve into a simple yet intriguing mathematical problem. Janelle subtracts -4 from a number, and the result is 2. Our goal is to determine the original number. This problem may seem straightforward, but it requires a clear understanding of basic arithmetic operations and the properties of negative numbers.
Understanding the Problem
Let's break down the problem step by step. Janelle subtracts -4 from a number, which means she is adding 4 to the number. This is because subtracting a negative number is equivalent to adding its positive counterpart. So, the equation can be rewritten as:
x + 4 = 2
where x is the unknown number.
Solving for the Unknown Number
To solve for x, we need to isolate the variable on one side of the equation. We can do this by subtracting 4 from both sides of the equation:
x + 4 - 4 = 2 - 4
This simplifies to:
x = -2
Analyzing the Solution
Now that we have found the value of x, let's analyze the solution. The original number is -2, and when we add 4 to it, we get 2. This makes sense, as adding a positive number to a negative number results in a positive number.
Conclusion
In conclusion, the original number is -2. This problem may seem simple, but it requires a clear understanding of basic arithmetic operations and the properties of negative numbers. By following the steps outlined above, we can solve for the unknown number and arrive at the correct solution.
Additional Examples
To further illustrate the concept, let's consider a few additional examples:
- If Janelle adds 3 to a number and the result is 5, what is the original number?
- If Janelle subtracts 2 from a number and the result is -1, what is the original number?
Answer Key
- The original number is 2.
- The original number is -3.
Tips and Tricks
When working with negative numbers, it's essential to remember that subtracting a negative number is equivalent to adding its positive counterpart. This can help simplify complex equations and make them more manageable.
Common Mistakes
One common mistake when working with negative numbers is to confuse subtraction with addition. For example, subtracting -4 from a number is not the same as subtracting 4 from the number. Instead, it's equivalent to adding 4 to the number.
Real-World Applications
Understanding basic arithmetic operations and the properties of negative numbers has numerous real-world applications. For instance, in finance, understanding how to work with negative numbers can help individuals make informed investment decisions. In science, understanding the properties of negative numbers can help researchers analyze data and draw meaningful conclusions.
Conclusion
Q: What is the original number if Janelle subtracts -4 from a number and the result is 2?
A: The original number is -2. This is because subtracting a negative number is equivalent to adding its positive counterpart. So, the equation can be rewritten as:
x + 4 = 2
where x is the unknown number. Solving for x, we get:
x = -2
Q: What is the difference between subtracting a negative number and adding a positive number?
A: Subtracting a negative number is equivalent to adding its positive counterpart. For example, subtracting -4 from a number is the same as adding 4 to the number.
Q: How can I simplify complex equations involving negative numbers?
A: To simplify complex equations involving negative numbers, try to identify the positive counterpart of the negative number. Then, rewrite the equation using the positive counterpart instead of the negative number.
Q: What is the original number if Janelle adds 3 to a number and the result is 5?
A: The original number is 2. This is because adding 3 to a number results in a positive number. So, the equation can be rewritten as:
x + 3 = 5
where x is the unknown number. Solving for x, we get:
x = 2
Q: What is the original number if Janelle subtracts 2 from a number and the result is -1?
A: The original number is -3. This is because subtracting 2 from a number results in a negative number. So, the equation can be rewritten as:
x - 2 = -1
where x is the unknown number. Solving for x, we get:
x = -3
Q: Can I use the same steps to solve for the unknown number in all types of equations?
A: While the steps outlined above can be used to solve for the unknown number in many types of equations, they may not work for all types of equations. For example, if the equation involves fractions or decimals, you may need to use different steps to solve for the unknown number.
Q: How can I practice solving for the unknown number in equations involving negative numbers?
A: To practice solving for the unknown number in equations involving negative numbers, try working through a series of practice problems. You can find practice problems online or in a math textbook. Start with simple problems and gradually work your way up to more complex problems.
Q: What are some real-world applications of solving for the unknown number in equations involving negative numbers?
A: Solving for the unknown number in equations involving negative numbers has numerous real-world applications. For example, in finance, understanding how to work with negative numbers can help individuals make informed investment decisions. In science, understanding the properties of negative numbers can help researchers analyze data and draw meaningful conclusions.
Conclusion
In conclusion, solving for the unknown number in equations involving negative numbers requires a clear understanding of basic arithmetic operations and the properties of negative numbers. By following the steps outlined above and practicing with a series of practice problems, you can develop the skills and confidence you need to solve for the unknown number in a variety of equations.