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Chapter 2: Problem 11

Find each sum. $$8+(-6)+2$$

Short Answer

Expert verified
The sum is 4.

Step by step solution

01

Add the first two numbers

Start by adding the first two numbers: \(8\) and \(-6\). Since \(-6\) is a negative number, this becomes \(8 - 6 = 2\).
02

Add the result to the third number

Now take the result from Step 1, which is \(2\), and add it to the third number \(+2\). This gives \(2 + 2 = 4\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Negative Numbers
Negative numbers are numbers that are less than zero. They are represented with a minus sign (鈭�) in front of them. **Think of negative numbers as the opposite of positive numbers**. Positive numbers indicate quantities greater than zero, while negative numbers are values lower than zero.
Imagine a thermometer: if the temperature is below freezing, say -2 degrees, it's colder than 0 degrees. Similarly, in financial terms, if you owe money, your bank balance might be a negative number. Negative numbers are just as important as positive numbers and frequently occur in daily life.
Keep in mind:
  • Negative numbers always come with a minus sign (-)
  • The larger the negative number, the farther it is from zero in the opposite direction from positive numbers
  • In an operation like addition, subtracting a positive number is the same as adding its negative counterpart
Mastering Number Operations
Operations with numbers involve addition, subtraction, multiplication, and division. **In this exercise, the focus is on addition including negative numbers**. Whenever you add numbers, you are combining or increasing them into a total.
When adding a negative number, it's like subtracting its absolute value from the total. For example, adding a negative six to eight is like doing 8 minus 6. Let's recall this simple rule with some helpful reminders:
  • Adding a negative number is akin to subtraction.
  • The operation follows standard rules, remember that adding a negative moves you left on the number line.
  • Simplify your additions by handling positives and negatives separately, step by step.
No matter the type of number, understanding how these operations work helps in all areas of math.
Step-by-Step Solutions Demystified
Step-by-step solutions are an effective method to approach math problems, allowing you to break down complex calculations into simple, understandable parts. **Let's look at the original problem: the sum of 8, -6, and 2**.
The solution uses two simple steps:
  1. First, focus on the first two numbers: 8 and -6. Adding these is like subtracting 6 from 8, resulting in 2. Always tackle these operations carefully, verifying each step.
  2. Next, add the result (2) to the third number (2), to arrive at your final sum of 4. This final step consolidates our earlier work.

This approach helps prevent mistakes and builds confidence when tackling similar problems. By approaching problems with step-by-step solutions, math becomes less daunting and more manageable.

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Most popular questions from this chapter

Evaluate each expression if \(f=-9, g=-6,\) and \(h=8\). $$2 g h$$

Find each sum or difference. $$479-281$$

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Find each product. $$8 \cdot 12$$
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