Problem 57 Simplify the expression. $$-(-... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 2: Problem 57

Simplify the expression. $$-(-36)$$

Short Answer

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Step by step solution

Understand double negation

When a negative sign is applied to a negative number, the double negation results in a positive number. In other words, $-(-x) = x$.

Apply the rule to the given expression

Given the expression $-(-36)$, apply the double negation rule: $-(-36) = 36$.

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Key Concepts

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

Double Negation

Double negation can be a tricky concept to grasp, but it is quite simple once you understand it. When you see two negative signs in a row, they essentially cancel each other out. This is because a negative sign applied to a negative number turns it back into a positive number. For example, if you have $-(-x)$, you can simplify this to just \x\.

In the exercise provided, we see $-(-36)$. Following the double negation rule, we can simplify this to 36. So remember, two negatives make a positive!

Negative Numbers

Negative numbers might seem challenging at first, but they follow very specific rules that make them easier to handle once you get the hang of it. In the number system, negative numbers are simply numbers less than zero, and they are typically denoted with a minus sign (-).

Here are a few key points to remember when dealing with negative numbers:

Adding a negative number is like subtracting its absolute value.
Subtracting a negative number is like adding its absolute value.
The product of two negative numbers is positive.
The product of a negative and a positive number is negative.

By understanding these rules, you can simplify problems involving negative numbers more easily. For example, in our original problem, the negative of -36 turns into a positive number due to the rules of double negation we've discussed.

Basic Arithmetic

Basic arithmetic is the foundation of mathematics and involves simple operations like addition, subtraction, multiplication, and division. These operations can be applied to both positive and negative numbers.

Let's recap some fundamental arithmetic rules:

Addition: Combining two numbers to get a sum. For example, $7 + 3 = 10$.
Subtraction: Finding the difference between two numbers. For example, $10 - 3 = 7$.
Multiplication: Calculating the product of two numbers. For example, $4 \times 5 = 20$.
Division: Distributing a number into equal parts. For example, $20 \div 4 = 5$.

When simplifying expressions, understanding these basic operations is crucial. With the knowledge of double negation and how negative numbers behave, you are well-equipped to handle more complex arithmetic problems. Hence, when you see expressions like $-(-36)$, you can confidently simplify them using these basic principles.

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91影视

Simplify the expression. $$-(-36)$$

Short Answer

Step by step solution

Understand double negation

Apply the rule to the given expression

Key Concepts

Double Negation

Negative Numbers

Basic Arithmetic

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