Problem 32 In Exercises $1-66,$ compute t... [FREE SOLUTION]

91影视

Understanding Elementary Algebra with Geometry

Lewis Hirsch, Arthur Goodman

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 1: Problem 32

In Exercises $1-66,$ compute the value of each expression. $$10+(-6)+(-1)$$

Short Answer

Expert verified

The value of the expression is 3.

Step by step solution

Add the first two numbers

Start by adding the first two numbers: 10 and -6. Compute: \[10 + (-6) = 4\]

Add the result to the next number

Take the result from Step 1 and add it to -1. Compute: \[4 + (-1) = 3\]

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Key Concepts

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

Arithmetic Operations

In elementary algebra, arithmetic operations are the basic calculations we perform on numbers. These operations include addition, subtraction, multiplication, and division. In the given exercise, we primarily focus on addition with both positive and negative numbers. Understanding the order of these operations and how they interact with each other is essential for solving algebraic expressions.

Negative Numbers

Negative numbers can sometimes be confusing. They are simply numbers with a value less than zero and are represented with a minus sign (-) in front. When adding negative numbers to positive numbers, it's important to think in terms of movement on a number line.

Here are some tips for working with negative numbers:

When adding a negative number to a positive number, you move to the left on the number line.
Your result can be positive, negative, or zero, depending on the magnitude of the numbers involved.

In our exercise, we start with a positive number (10) and add a negative number (-6). Essentially, we are moving 6 units to the left on the number line, resulting in 4.
Adding another negative number (-1) means moving 1 more unit to the left, leading to the final answer of 3.

Step-by-Step Solutions

Using a step-by-step approach helps break down the problem and make it more manageable. Let's recapitulate the given solution using smaller steps:

Step 1: Start by adding the first two numbers. In our problem, we have 10 and -6.

First, convert the addition of a negative number into a simple subtraction: $10 - 6 = 4$.

Step 2: Take the result from Step 1 and add the next number, -1.

Again, convert this into a subtraction: $4 - 1 = 3$.

By following these steps methodically, you can avoid mistakes and verify your results easily.

Remember, practicing similar problems will strengthen your understanding and efficiency with arithmetic operations and handling negative numbers.

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91影视

In Exercises \(1-66,\) compute the value of each expression. $$10+(-6)+(-1)$$

Short Answer

Step by step solution

Add the first two numbers

Add the result to the next number

Key Concepts

Arithmetic Operations

Negative Numbers

Step-by-Step Solutions

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