Question

Simplify. $$ \frac{-4-8(-2)}{-9-2(-3)} $$

   Simplify.
$$
\frac{-4-8(-2)}{-9-2(-3)}
$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Elayn Martin-Gay 4th Edition

Chapter 1, Problem 100

Instant Answer

Solved by Expert Heather Zimmers

03/13/2020

Step 1

According to the order of operations, we perform multiplication before addition or subtraction. So, we multiply -8 by -2 in the numerator and -2 by -3 in the denominator. $$ \frac{-4-8(-2)}{-9-2(-3)} = \frac{-4-(-16)}{-9-(-6)} $$ Show more…

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Simplify. $$ \frac{-4-8(-2)}{-9-2(-3)} $$

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Key Concepts

Simplification of Algebraic Expressions

This concept involves reducing expressions to their simplest form by performing the indicated operations and combining like terms. It includes following the order of operations and carefully manipulating the terms, particularly when variables or constants interact through various arithmetic operations.

Fraction Simplification

Fraction simplification is the process of reducing a fraction to its simplest form by identifying and canceling common factors in the numerator and denominator. This step is important in ensuring that the final result is expressed in the most reduced and clear form.

Order of Operations

This concept refers to the rules that determine the sequence in which arithmetic operations are performed. In any expression, operations inside parentheses are computed first, followed by exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. Adhering to these rules ensures that everyone simplifies the expression in a consistent manner.

Handling Negative Numbers

Handling negative numbers involves understanding how to perform arithmetic operations with negative values, such as subtraction and multiplication. It is crucial to correctly interpret the signs when multiplying and adding negative numbers, as mismanagement can lead to errors in the simplification process.

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