step 1 We're being asked to evaluate the given expression. To do this, we first have to follow our orde

Simplify. 3-|2-7+4|

Name: Problem 50, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-19T00:56:45-08:00
Duration: 42 s
Channel: Julie Silva
Description: Simplify. 3-|2-7+4|

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Key Concepts

Absolute Value

The absolute value of a number is a function that returns the nonnegative magnitude of the given number, regardless of its sign. This concept is crucial when dealing with expressions that involve the absolute value notation, ensuring that the result inside the absolute value is treated as a distance on the number line.

Order of Operations

The order of operations is a fundamental concept in arithmetic and algebra that dictates the sequence in which different operations are performed. It ensures that expressions within grouping symbols are evaluated first, followed by exponentiation, multiplication and division, and finally addition and subtraction, which is critical when simplifying complex expressions.

Simplification of Expressions

Simplifying expressions involves systematically reducing a mathematical expression to its simplest form by following a sequence of operations. This includes combining like terms, evaluating expressions within grouping symbols, applying functions such as the absolute value, and performing arithmetic operations in the correct order.

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