Question

Evaluate each expression. $$1-(4 \cdot 3-2+2)$$

   Evaluate each expression.
$$1-(4 \cdot 3-2+2)$$

College Algebra

College Algebra

Michael Sullivan 11th Edition

Chapter 0, Problem 62

Instant Answer

Solved by Expert Victoria Karaluz

05/17/2020

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Now we have: 1 - (12 - 2 + 2). Show more…

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Evaluate each expression. $$1-(4 \cdot 3-2+2)$$

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Key Concepts

Order of Operations

The order of operations is a fundamental principle in arithmetic and algebra that establishes the correct sequence to evaluate components of a mathematical expression. According to this rule, operations enclosed within grouping symbols, such as parentheses, are performed first, followed by exponentiation, then multiplication and division from left to right, and finally addition and subtraction from left to right. This ensures consistency and accuracy in solving mathematical expressions.

Arithmetic Operations

Arithmetic operations, including addition, subtraction, multiplication, and division, form the basic building blocks of mathematics. Each operation has its own properties and rules, and understanding how they interact is essential for accurately evaluating expressions. The combination of these operations in a single expression requires careful attention to the established order to obtain the correct result.

Use of Parentheses

Parentheses are used in mathematical expressions to group parts of the expression that should be evaluated as a unit before applying other operations. This grouping overrides the usual order of operations, ensuring that the operations inside the parentheses are computed first. This is crucial for properly organizing and simplifying complex expressions.

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