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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Lial 13th EditionCh. R - Review of Basic Concepts문제 97
1장, 문제 97

Evaluate each expression. −8+(−4)(−6)÷124−(−3)\(\frac{-8 + (-4)(-6) \div 12}{4 - (-3)}\)

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Start by simplifying the expression inside the numerator brackets: \([-8 + (-4)(-6)/12]\). First, calculate the product \((-4)(-6)\).
Next, divide the product from the previous step by 12, so compute \(\frac{(-4)(-6)}{12}\).
Add the result of the division to -8 inside the numerator brackets to simplify the entire numerator.
Now simplify the denominator brackets: \([4 - (-3)]\). Remember that subtracting a negative number is the same as adding its positive counterpart.
Finally, divide the simplified numerator by the simplified denominator to evaluate the entire expression.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Order of Operations

The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed to correctly evaluate expressions. It is commonly remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Following this order ensures consistent and accurate results.
추천 영상:
8:38
Performing Row Operations on Matrices

Operations with Negative Numbers

Understanding how to handle negative numbers in arithmetic operations is essential. Multiplying two negative numbers results in a positive number, while multiplying a positive and a negative number results in a negative number. Similarly, subtracting a negative number is equivalent to adding its positive counterpart.
추천 영상:
05:02
Square Roots of Negative Numbers

Simplifying Complex Fractions

Simplifying complex fractions involves evaluating the numerator and denominator separately before performing the division. This process requires careful application of arithmetic operations and order of operations to avoid errors and to reduce the expression to its simplest form.
추천 영상:
04:22
Dividing Complex Numbers
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