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Chapter 3: Problem 488

In the following exercises, simplify. $$ -(-22) $$

Short Answer

Expert verified
22

Step by step solution

01

- Identify the Double Negative

The expression contains a double negative: -(-22). Identify that two negatives cancel each other out.
02

- Simplify the Expression

Since two negatives cancel out, -(-22) becomes simply 22.

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Key Concepts

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

Double Negatives
In mathematics, double negatives can sometimes be tricky. Essentially, a double negative occurs when you have two negative signs in an expression.
When you encounter this, you should understand that two negative signs cancel each other out. It's like saying 'not not going' which means you are going.
For example, in the expression \(-(-22)\), the two negative signs cancel each other out, leaving you with a positive 22.
Remember: Two negatives make a positive. This is an essential concept when simplifying expressions and solving math problems. It can make your math work much easier and less confusing.
Integer Operations
Integer operations are fundamental in mathematics. Integers include positive whole numbers, negative whole numbers, and zero. Understanding how to work with these numbers helps in solving various math problems.
When dealing with integers and their operations, keep in mind these rules:
  • Addition: Adding two positive integers or two negative integers gives a more positive or more negative result respectively.
  • Subtraction: Subtracting a negative integer is the same as adding its positive counterpart. For example, \(-(-22)\) becomes 22.
  • Multiplication and Division: Multiplying or dividing integers with different signs will give a negative result, while same signs give a positive result.
Understanding these basic rules is essential for handling math expressions confidently. It also helps avoid common mistakes that can lead to wrong answers.
Basic Arithmetic
Basic arithmetic encompasses the elementary operations of addition, subtraction, multiplication, and division.
Mastering these operations is crucial because they form the foundation for more advanced math concepts. Let's review the basics:
  • Addition: Combining two numbers to get a larger number. For example, 2 + 3 = 5.
  • Subtraction: Taking one number away from another. For example, 5 - 3 = 2.
  • Multiplication: Calculating the total of one number added repeatedly. For example, 4 * 3 = 12.
  • Division: Splitting a number into equal parts. For example, 12 梅 4 = 3.
Applying these operations correctly can simplify complex problems. Always double-check your calculations to avoid errors.

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