Question

Perform the indicated operations. $8-(-12)-2-6$

   Perform the indicated operations.
$8-(-12)-2-6$

Intermediate Algebra

Intermediate Algebra

John Hornsby; Terry… 13th Edition

Chapter 0, Problem 45

Instant Answer

Solved by Expert Rahul Mittal

02/08/2022

Step 1

The additive inverse of a number is the opposite of that number. So, the additive inverse of -12 is 12. We replace -(-12) with 12 in the expression. \[8-(-12)-2-6 = 8+12-2-6\] Show more…

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Perform the indicated operations. $8-(-12)-2-6$

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Key Concepts

Order of Operations

This concept dictates the sequence in which operations are performed in a mathematical expression. It ensures clarity and consistency in solving expressions by specifying that operations such as addition and subtraction should be executed in a left-to-right order after addressing any expressions within parentheses or other grouping symbols.

Subtraction of Negative Numbers

Subtraction of a negative number is a key concept in arithmetic that transforms the operation into addition. When you subtract a negative, it is equivalent to adding the positive counterpart of that number. This principle simplifies the expression and is fundamental in manipulating and solving problems with integers.

Arithmetic Operations on Integers

This concept involves performing mathematical operations such as addition and subtraction on whole numbers, including both positive and negative values. Mastery of integer operations is crucial for solving problems correctly and is foundational for more advanced topics in mathematics.

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