Simplify. -7-(8+10 ·2^2)

Name: Problem 48, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-19T00:54:02-08:00
Duration: 48 s
Channel: Julie Silva
Description: Simplify. -7-(8+10 ·2^2)

Key Concepts

Order of Operations

This concept refers to the hierarchy of mathematical operations that must be followed when simplifying expressions. Known by acronyms such as PEMDAS or BODMAS, it dictates that operations inside parentheses are performed first, followed by exponents, then multiplication and division, and finally addition and subtraction. This ensures that expressions are evaluated consistently and correctly.

Exponentiation

Exponentiation is an operation that raises a number to the power of another number. It is crucial to resolve any exponentiation before proceeding with multiplication or addition in an expression. This concept helps in understanding how repeated multiplication is compactly written and efficiently computed.

Arithmetic Operations

Arithmetic operations involve the basic functions like addition, subtraction, multiplication, and division. Simplifying expressions requires correctly performing these operations, typically in the order determined by the order of operations. This concept is fundamental to manipulating and combining numerical quantities.

Handling Negative Numbers

Negative numbers require careful attention during arithmetic operations, especially when they appear outside or inside parentheses. Understanding how to combine negative and positive numbers, and how the negative sign distributes over an expression, is essential for correctly simplifying expressions.

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