Problem 57 Simplify. $$ -(-33) $$... [FREE SOLUTION]

Chapter 2: Problem 57

Simplify. $$ -(-33) $$

Short Answer

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Step by step solution

Identify the Operation

The expression given is $$-(-33)$$ . This involves a double negation. The negative sign outside the parentheses indicates the opposite of what is inside the parentheses.

Simplify the Double Negation

In mathematics, the negative of a negative number is a positive number. Therefore, we simplify $$-(-33)$$ to $$33$$ . Removing the double negative gives us the positive of the original number.

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Key Concepts

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

Double Negative

In mathematics, a double negative can be a bit tricky at first, but once you get the hang of it, it makes perfect sense. Imagine a negative sign as a "reverse" or "opposite" button. When you apply it to a negative number, it effectively cancels out the negativity, making the entire expression positive. For instance, in the expression $-(-33)$, the two negative signs cancel each other out, resulting in a positive 33.

First negative sign converts 33 into its opposite (-33).
Second negative sign converts -33 back to its opposite (33).

The concept of double negative often appears in simplifying mathematical expressions and should not cause confusion as it simply converts a negative back to positive.

Positive Numbers

A positive number is any number greater than zero. Positive numbers play a critical role in math, representing a range of real-world quantities, such as distances, quantities, and time. In the context of simplification, identifying positive numbers is essential. For example, when you encounter an expression like $-(-33)$, understanding that simplifying this leads to a positive 33 is crucial.

If you remove the negative sign from a negative number, you get a positive number.
In number lines, positive numbers are always to the right of zero.

By understanding positive numbers, you can easily navigate through algebraic simplifications and other mathematical calculations.

Simplifying Expressions

Simplifying expressions is a fundamental skill in algebra. It involves reducing a complex expression to its simplest form without changing its value. To simplify $-(-33)$, you need to understand the role of double negatives first. Simplifying can be broken down into a few easy steps:

Identify operations: Know what mathematical operations are involved, such as addition, subtraction, or negation.
Apply properties: Use mathematical properties, such as double negation, to simplify effectively.
Reduce complexity: Break down the expression to its simplest form (e.g., $-(-33)$ becomes 33).

By following these steps, you can tackle even the most complex expressions with ease, always aiming to express them in a clear and concise form.

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91影视

Simplify. $$ -(-33) $$

Short Answer

Step by step solution

Identify the Operation

Simplify the Double Negation

Key Concepts

Double Negative

Positive Numbers

Simplifying Expressions

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