Question

Evaluate each expression. $$2(5)-6(|-3|)^{2}$$

   Evaluate each expression.
$$2(5)-6(|-3|)^{2}$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 2, Problem 90

Instant Answer

Solved by Expert Jeyasree R T

07/22/2020

Step 1

So, the expression becomes: $$2(5)-6(3)^{2}$$ Show more…

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Evaluate each expression. $$2(5)-6(|-3|)^{2}$$

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Key Concepts

Arithmetic Operations

Arithmetic operations, including multiplication and subtraction, are the basic tasks involved in evaluating expressions. They are governed by the order of operations, ensuring that each operation is carried out in a sequence that adheres to mathematical conventions for accurately simplifying or evaluating expressions.

Exponentiation

Exponentiation involves raising a number to a power, signifying repeated multiplication of the number by itself. This operation must be performed after evaluating expressions inside grouping symbols and absolute values, following the order of operations in arithmetic expressions.

Absolute Value

Absolute value is a measure of the magnitude of a number without regard to its sign. It transforms negative numbers into their positive counterparts, thus representing the distance of the number from zero on the number line.

Order of Operations

This concept refers to the conventional rules that dictate the sequence in which the operations in a mathematical expression are performed. Commonly remembered by the acronyms PEMDAS or BIDMAS, it ensures that operations such as grouping symbols, exponents, multiplication/division, and addition/subtraction are carried out in a specific order to obtain a correct result.

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