Solving -3 + (-1) + 1 + 3: A Step-by-Step Guide

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Solving -3 + (-1) + 1 + 3: A Step-by-Step Guide

Hey guys! Let's break down this math problem together. We're going to figure out the result of the expression -3 + (-1) + 1 + 3. It might look a bit confusing at first, but don't worry, we'll take it one step at a time. I'll guide you through each part, so you can easily understand how we arrive at the final answer. So, grab your imaginary pencils and let’s get started!

Understanding the Expression

Before we dive into solving, let's make sure we understand what the expression is asking us to do. The expression is:

-3 + (-1) + 1 + 3

This means we need to add these numbers together, keeping in mind that some of them are negative. Remember, adding a negative number is the same as subtracting that number. So, -3 + (-1) is the same as -3 - 1. Understanding this will help us simplify the expression and make it easier to solve.

When you see an expression like this, it's often helpful to group the numbers in a way that makes the calculation simpler. For example, you can group the negative numbers together and the positive numbers together. This way, you can add the negatives and positives separately, and then combine the results. This strategy can help you avoid making mistakes and keep your work organized. So, always look for ways to simplify the expression before you start calculating.

Also, remember the basic rules of addition and subtraction with negative numbers. Adding a positive number moves you to the right on the number line, while adding a negative number moves you to the left. Subtracting a positive number also moves you to the left, and subtracting a negative number moves you to the right. Keeping these rules in mind will help you visualize the problem and understand the direction in which the numbers are moving.

Step-by-Step Solution

Now, let's solve the expression step-by-step:

  1. Combine the first two terms: -3 + (-1)

    • This is the same as -3 - 1, which equals -4.

  2. Add the next term: -4 + 1

    • Adding 1 to -4 moves us one step to the right on the number line, resulting in -3.

  3. Add the last term: -3 + 3

    • Adding 3 to -3 brings us back to 0.

So, the result of the expression -3 + (-1) + 1 + 3 is 0. Let’s recap the steps to make sure it’s crystal clear. First, we combined -3 and -1 to get -4. Then, we added 1 to -4, which gave us -3. Finally, we added 3 to -3, which brought us back to 0. Each step is simple, and by breaking down the expression into smaller parts, we made it easy to solve. Remember, practice makes perfect, so try solving similar expressions to build your confidence and skills. Keep going, and you'll become a math whiz in no time!

Alternative Method: Rearranging Terms

Another way to solve this is by rearranging the terms in the expression. Remember, addition is commutative, which means you can add numbers in any order without changing the result. So, we can rearrange the expression like this:

-3 + 3 + (-1) + 1

Now, it’s easier to see that -3 + 3 equals 0, and -1 + 1 also equals 0. So, the expression simplifies to:

0 + 0 = 0

This method can be quicker and easier for some people, as it allows you to pair up numbers that cancel each other out. It’s all about finding the approach that works best for you. The key is to understand the properties of addition and use them to your advantage. Whether you prefer solving step-by-step or rearranging terms, the goal is to simplify the expression and find the correct answer. So, experiment with different methods and see which one you like the most. Math is all about finding the right tools for the job!

Why the Other Options Are Incorrect

Let's quickly look at why the other options (B, C, and D) are incorrect:

  • B) -1: If we made a mistake in our calculations, we might end up with -1. However, following the steps correctly leads us to 0.
  • C) 1: This would only be correct if we missed the negative signs or made an error in adding the numbers. But we've carefully shown each step to avoid that.
  • D) 2: This is also incorrect because the negative and positive numbers cancel each other out, leading to a different result.

Understanding why the other options are wrong can also help you reinforce your understanding of the correct solution. It's a good practice to analyze the possible mistakes and see how they would lead to different answers. This will make you more confident in your own calculations and help you avoid similar errors in the future. So, always take the time to check your work and understand why the other options don't make sense. This will not only improve your accuracy but also deepen your understanding of the concepts.

Final Answer

The correct answer is A) 0. We arrived at this answer by carefully adding the numbers in the expression -3 + (-1) + 1 + 3, either step-by-step or by rearranging the terms. I hope this explanation helps you understand how to solve this type of problem. Keep practicing, and you'll master these skills in no time! If you have any questions just ask!

So there you have it! We've successfully solved the expression -3 + (-1) + 1 + 3. Remember, the key is to take your time, break down the problem into smaller steps, and double-check your work. With practice, you'll become more confident and accurate in your math skills. And always remember, math can be fun if you approach it with a positive attitude and a willingness to learn. So, keep exploring, keep practicing, and keep challenging yourself. You've got this!