Problem 6 Compute the exact value of the g... [FREE SOLUTION]

91影视

Prealgebra

David Arnold

$Math Studyset 91影视 Explanations$ Math

2020 Edition

Chapter 2: Problem 6

Compute the exact value of the given expression. $-33$

Short Answer

Expert verified

The exact value of the expression \$-33\$ is \$-33\$.

Step by step solution

Interpret the Expression

The expression we need to compute is simply the integer $-33$. This implies that what is being asked is the value of the expression, which in this case, is straightforward as it is the number itself.

State the Exact Value

Since the expression is merely $-33$, the exact value of it is $-33$. There are no calculations or manipulations needed for such a problem.

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Key Concepts

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

Integer Operations: Understanding Negative Integers

In the world of mathematics, integers are whole numbers that can be either positive or negative, including zero. They are fundamental in arithmetic operations. Negative integers, like $-33$, simply indicate numbers that are less than zero. It's important to recognize that negative signs show direction or position on the number line rather than size or magnitude.When you're working with negative integers, they follow specific rules:

Adding a negative integer is the same as subtracting its absolute value.
Subtracting a negative integer is the same as adding its absolute value.
Multiplying two negative integers results in a positive integer.
Dividing two negative integers results in a positive integer.

These operations enable us to solve more complex mathematical problems by interpreting them as operations involving directions or amounts. Understanding these rules is crucial when performing operations with negative integers.

Exact Value Computation: Getting Straight to the Point

Exact value computation is about finding precise numerical values for expressions without any approximations or unnecessary calculations. In instances where the expression is a single integer, such as $-33$, the exact value is simply the number itself. This emphasizes understanding that the value of a number doesn't need further operations when it stands alone in an expression.Exact computation requires recognizing:

The importance of correctly identifying numbers and their values in expressions.
The need to avoid performing unnecessary operations, simplifying your work.
When to apply specific integer rules and when to accept the number as it is.

By focusing on exact numbers and their straightforward representation, mathematicians ensure that what is being conveyed or asked in a problem is clearly and correctly understood, saving both time and effort.

Interpreting Expressions: Direct and Clear

Interpreting expressions accurately is a skill developed through practice and understanding of mathematical symbols and their meanings. For an expression like $-33$, interpretation is straightforward as it involves recognizing that there is no operation needed beyond accepting the number's value as it is.To enhance your interpretation skills, consider:

Focusing on the components of the expression to understand what is required.
Identifying any mathematical symbols or operations and their implications quickly.
Predicting the result of the expression by understanding the roles of each number or symbol within it.

When expressions are understood correctly, it ensures that computations are reliable and valid, and provides a foundation for tackling more complex mathematical challenges. Understanding that $-33$ is simply $-33$ helps build confidence in identifying straightforward problems and their solutions.

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91影视

Compute the exact value of the given expression. \(-33\)

Short Answer

Step by step solution

Interpret the Expression

State the Exact Value

Key Concepts

Integer Operations: Understanding Negative Integers

Exact Value Computation: Getting Straight to the Point

Interpreting Expressions: Direct and Clear

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