Question

Compute, as indicated. $$-4^{2}-(-2)(-5)$$

   Compute, as indicated.
$$-4^{2}-(-2)(-5)$$

Basic Mathematical Skills with Geometry

Basic Mathematical Skills with Geometry

Stefan Baratto,… 8th Edition

Chapter 10, Problem 66

Instant Answer

Solved by Expert Amy Jiang

07/16/2020

Step 1

Step 1: First, we calculate the square of -4, which is $(-4)^{2} = 16$. Show more…

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Compute, as indicated. $$-4^{2}-(-2)(-5)$$

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Key Concepts

Order of Operations

This concept dictates the sequence in which operations are performed in an arithmetic expression. Understanding the prescribed order, often encapsulated in mnemonics like PEMDAS or BODMAS, is essential for evaluating expressions accurately, especially when they involve multiple operations such as exponents, multiplication, and subtraction.

Exponentiation

Exponentiation involves raising a number to a certain power and has higher precedence than most other operations, including multiplication and addition. Recognizing that operation order affects expressions with exponents, particularly in cases where negative signs are present without parentheses, is key.

Multiplication of Negative Numbers

Rules governing multiplication of negative numbers are fundamental in arithmetic. Specifically, knowing that the product of two negative numbers results in a positive number is crucial when evaluating expressions involving negative factors, ensuring correct results.

Negative Signs and Parentheses

The use of negative signs and their placement in relation to other operations, such as within or outside parentheses, is important for correctly interpreting an expression. This distinction clarifies whether the negative sign is part of the base being operated on or is applied afterward, affecting the final outcome of the computation.

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