Problem 56 Perform the indicated operations... [FREE SOLUTION]

Chapter 0: Problem 56

Perform the indicated operations $$ -10-[-2-(-5)]+16 $$

Short Answer

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Step by step solution

Simplify the Inner Expression

Start by simplifying the innermost expression, $ -2 - (-5) $.Recall that subtracting a negative number is the same as adding its positive counterpart:$ -2 - (-5) = -2 + 5 = 3 $.

Replace and Simplify the Next Expression

Substitute the simplified expression back into the original problem:$ -10 - [3] + 16 $. Now simplify the expression inside the brackets:\[ -10 - 3 + 16 \].

Perform the Addition and Subtraction

Handle the subtraction and addition from left to right:$ -10 - 3 = -13 $ and then $ -13 + 16 = 3 $.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

simplification of expressions

Simplification of expressions in algebra often involves breaking down complex parts into simpler forms step by step. Let's take a look at the expression given in the exercise: -10 - [-2 - (-5)] + 16. First, the expression inside the brackets needs attention. We see -2 - (-5). Subtracting a negative is like adding its positive equivalent, making it -2 + 5 = 3. By substituting this back into the original expression, we get -10 - 3 + 16. Notice how breaking down and simplifying smaller parts makes the whole expression easier to manage.

integer operations

Integer operations in algebra include addition, subtraction, multiplication, and division involving whole numbers. In the given problem, after simplifying the inner expression, we deal with:-10 - 3 + 16. These operations should be handled from left to right. First, tackle -10 - 3. Subtracting 3 from -10 leads to -13. Step-by-step integer operations make complex problems more manageable. Next, add 16 to -13. Since addition and subtraction of integers follow similar rules, the final answer becomes 3. Understanding rules for combining positive and negative integers is crucial for succeeding in algebra.

addition and subtraction

Addition and subtraction are fundamental operations in algebra, especially when dealing with integers. In the step -10 - 3 + 16, handle each operation sequentially. Subtraction comes first because of the order of operations rule, giving us -13. Following that, add 16, yielding 3. Numbers can often flip between positive and negative; thus, clarity in combining them is vital. The key is not rushing and carefully following the sequence of operations to avoid errors.

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91影视

Perform the indicated operations $$ -10-[-2-(-5)]+16 $$

Short Answer

Step by step solution

Simplify the Inner Expression

Replace and Simplify the Next Expression

Perform the Addition and Subtraction

Key Concepts

simplification of expressions

integer operations

addition and subtraction

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