Question

Simplify using the order of operations. $$-4(1-3)-8$$

   Simplify using the order of operations.
$$-4(1-3)-8$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 2, Problem 16

Instant Answer

Solved by Expert Kristen Frankie

07/29/2020

Step 1

According to the order of operations, we perform the operation inside the parentheses first. So, we have: $$-4(1-3)-8 = -4(-2)-8$$ Show more…

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Simplify using the order of operations. $$-4(1-3)-8$$

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Key Concepts

Arithmetic with Negative Numbers

Understanding arithmetic with negative numbers is crucial for simplifying expressions that involve subtraction and multiplication of negative values. This concept covers the rules for adding, subtracting, multiplying, and dividing negative numbers, ensuring that calculations are executed correctly when negative values are present.

Order of Operations

This concept refers to the rules that determine the sequence in which operations should be performed in a mathematical expression. It is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) and ensures that expressions are simplified consistently and correctly.

Distributive Property

The distributive property is a fundamental algebraic principle that allows you to multiply a value by a parenthesized expression. This means you distribute the multiplier to each term inside the parentheses, which is especially useful when the expression includes subtraction or involves negative numbers.

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