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Chapter 0: Problem 43

Perform the indicated operations $$ 6-(-2)-8 $$

Short Answer

Expert verified
The result is 0.

Step by step solution

01

Identify the Operation

The problem is a series of subtractions and involves a negative number. The expression is: 6 - (-2) - 8
02

Simplify the Double Negative

When subtracting a negative number, convert it to addition: 6 - (-2) = 6 + 2
03

Perform the Addition

Add the numbers from the previous step: 6 + 2 = 8
04

Subtract the Remaining Number

Now subtract 8 from the result of the addition: 8 - 8 = 0

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Key Concepts

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

Subtraction
Subtraction is one of the basic operations in math. It involves taking away one number from another. When you see a problem like 6 - 3, you're asked to find the difference between 6 and 3, which is 3. It鈥檚 important to remember that subtraction does not commute, which means 6 - 3 is not the same as 3 - 6. Knowing how to properly set up and solve subtraction problems is essential for more advanced math. Let's look at a specific example: 6 - (-2) - 8.
Negative Numbers
Negative numbers represent values less than zero. They are written with a minus sign, like -2. When you subtract a negative number, two minus signs next to each other turn into a plus. For example, in the problem 6 - (-2), the two minus signs change to a plus: 6 - (-2) is the same as 6 + 2. This process is called simplifying the double negative. Understanding how negative numbers work is crucial for mastering the types of problems you will face in algebra and beyond.
Simplification
Simplification means making a math problem easier to solve. By simplifying a problem, you break it down into smaller steps. Let's consider the problem 6 - (-2) - 8 again. First, simplify the double negative: change 6 - (-2) to 6 + 2. Now you have 8 - 8 left to simplify, which equals 0. Simplifying helps you see the solution more clearly and solve it accurately. Always take each operation step-by-step to avoid mistakes.

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Most popular questions from this chapter

The following problems provide more practice on operations with fractions and decimals. Perform the indicated operations. $$ \frac{9}{20}\left(-\frac{7}{15}\right) $$

Find each square root. If it is not a real number, say so. $$ \sqrt{\frac{225}{169}} $$

List the elements in each set. $$ \\{a \mid a \text { is an even integer greater than } 8\\} $$

Simplify each expression. $$ 0.4(10-5 x)-0.8(5+10 x) $$

The distributive property can be used to mentally perform calculations. $$\begin{array}{l}38 \cdot 17+38 \cdot 3 \\\=38(17+3) \\\=38(20) \\\=760\end{array} $$Use the distributive property to calculate each value mentally. $$ 27 \cdot 60+27 \cdot 40 $$
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