Problem 49 In Exercises $1-72$, compute t... [FREE SOLUTION]

91影视

Understanding Elementary Algebra with Geometry

Lewis Hirsch, Arthur Goodman

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 1: Problem 49

In Exercises $1-72$, compute the value of each expression. $$4-(8-6)+3$$

Short Answer

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Step by step solution

Simplify Inside the Parentheses

First, simplify the expression inside the parentheses: da: (8-6).Calculation: : : : (8-6=2)After that Simplifying the expression inside the parentheses. Gives: : :4-(8-6)+3 4-2+3.

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Key Concepts

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

Simplifying Expressions

Simplifying an algebraic expression means transforming it into its simplest form. This often involves performing arithmetic operations, combining like terms, and reducing fractions. In our problem, we start with the expression: $4 - (8 - 6) + 3$.

Here is a simple guide to simplify this expression:

First, carry out operations inside the parentheses.
Next, follow the order of operations.
Finally, combine all terms to find the final value.

Simplifying makes expressions easier to work with and understand. For example, parentheses and unnecessary terms can make equations appear more complex than they are.

Order of Operations

The order of operations is essential in solving mathematics problems accurately. It is often remembered by the acronym PEMDAS:

Parentheses
Exponents
Multiplication and Division
Addition and Subtraction

In our example, $4 - (8 - 6) + 3$, we first simplify within the parentheses: $8 - 6 = 2$. This leaves us with: $4 - 2 + 3$. Next, we perform the subtraction: $4 - 2 = 2$. Finally, we add the remaining terms: $2 + 3 = 5$. By following PEMDAS, we ensure that every step is correct, leading to the final answer.

Parentheses in Algebra

Parentheses play a crucial role in algebra by dictating the order in which operations are performed. They ensure that certain calculations are prioritized. For instance, in our given expression $4 - (8 - 6) + 3$, the operation inside the parentheses is performed first: $8 - 6$.

By simplifying the inner expression, we obtain $4 - 2 + 3$. Removing parentheses simplifies the problem and eliminates ambiguity, ensuring accurate interpretations of operations. This is why parentheses are vital in complex algebraic expressions.

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91影视

In Exercises \(1-72\), compute the value of each expression. $$4-(8-6)+3$$

Short Answer

Step by step solution

Simplify Inside the Parentheses

Key Concepts

Simplifying Expressions

Order of Operations

Parentheses in Algebra

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