/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 26 Find each sum or difference. $... [FREE SOLUTION] | 91影视

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Chapter 0: Problem 26

Find each sum or difference. $$ -8-17 $$

Short Answer

Expert verified
-25

Step by step solution

01

Identify the operation

Determine whether the problem requires addition or subtraction. The operation given is subtraction: \( -8 - 17 \).
02

Convert subtraction to addition

Rewrite the subtraction as adding a negative number: \( -8 + (-17) \).
03

Add the numbers

Add the negative numbers together: \( -8 + (-17) = -25 \).

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Key Concepts

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

addition and subtraction of integers
Understanding how to add and subtract integers is a fundamental aspect of basic algebra. When dealing with integers, remember:
  • Addition and subtraction are closely related operations.
  • Subtraction can be thought of as adding a negative number.
To solve problems like \( -8 - 17 \), it's helpful to transform the subtraction into addition. Rewrite \( -8 - 17 \) as \( -8 + (-17) \). By doing this, you're simply adding two negative numbers together. This approach simplifies your calculations. The next step is to combine these values, yielding \( -25 \). Foundations like these help make more complex algebra tasks easier to handle.
negative numbers
Negative numbers are essential components in basic algebra. These are numbers less than zero and are represented with a minus sign (-) in front. Here are some key points to remember:
  • When adding negative numbers together, the result is even more negative. For example, \( -8 + (-17) = -25 \).
  • Understanding how to handle negative values helps in simplifying various algebraic expressions.
In the problem \( -8 - 17 \), we convert it to an addition problem to handle the negative numbers more effectively. By rewriting it as \( -8 + (-17) \), we add the negative values directly, leading to a result of \( -25 \). This technique helps manage and simplify confusing operations.
solving algebra problems
Solving algebra problems often involves breaking down complex equations into simpler steps. Let's take the example of \( -8 - 17 \). Here's a step-by-step process:
  • Identify the operation: In this case, it's a subtraction.
  • Convert it to addition: Rewrite as \( -8 + (-17) \). This makes it easier to work with negative numbers.
  • Combine like terms: Simply add \(-8\) and \(-17\) to get \( -25 \).
Following these structured steps helps you systematically solve algebra problems. Each small, manageable part ensures you don't get overwhelmed, promoting confidence and understanding in tackling more complex equations in the future.

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Most popular questions from this chapter

Residents of Linn County, Iowa, in the Cedar Rapids Community School District can use the expression $$(v \times 0.5485-4850) \div 1000 \times 31.44$$ to determine their property taxes, where \(v\) is assessed home value. (Source: The Gazette.)Use this expression to calculate, to the nearest dollar, the amount of property taxes that the owner of a home with each of the following values would pay. Follow the rules for order of operations. $$ \$ 200,000 $$

Simplify each expression. $$ 15+5 \cdot 2 $$

When simplifying an expression, we usually do some steps mentally.Providing the property that justifies each statement in the given simplification. $$3 x+4+2 x+7$$ $$ =(3+2) x+(4+7) $$

Simplify each inequality if needed. Then determine whether the statement is true or false. $$ 7 \leq 7 $$

Use an inequality symbol to write each statement. $$ 6+7 \text { is not equal to }-13 $$
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