/*! 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 7 Perform the indicated subtractio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 7

Perform the indicated subtraction. $$8-14$$

Short Answer

Expert verified
The result of the subtraction \(8 - 14\) is \(-6\).

Step by step solution

01

Perform the Subtraction

The given subtraction is \(8-14\). Since 14 is larger than 8, the result will be negative.
02

Calculate the_difference

To calculate the difference, subtract 8 from 14, which gives 6. Since the larger number is being subtracted from the smaller one, the result will be -6.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Negative Numbers
Negative numbers extend the number line below zero to include numbers less than zero. When you perform operations such as subtraction, you might encounter them.
Understanding negative numbers involves grasping that they represent values less than zero. Imagine a thermometer: the lower the temperature goes, the more negative the number becomes.
  • **Positive and Negative Symbols**: These symbols indicate the sign of a number; a negative number has a minus sign (-) while a positive number does not.
  • **On the Number Line**: Numbers to the left of zero are negative, and as they move right towards zero, they increase in value.
  • **Operation with Negatives**: Negative values affect operations such as subtraction, often resulting in another negative number.
Recognizing negative numbers is important in algebra and everyday math because it affects how we measure or predict outcomes.
Subtraction Techniques
Subtraction involves finding the difference between two numbers and can result in a positive or negative outcome depending on their values. The process of subtraction can be made easier by using techniques.
  • **Reverse Thinking**: You can think of subtraction as "adding the opposite." For instance, subtracting 14 from 8 can be thought of as adding -14 to 8.
  • **Ordering the Numbers**: It鈥檚 helpful to decide which number is larger, which directly affects whether your result is positive or negative.
  • **Grouping Method**: Sometimes it's easier to first subtract in parts. Break down complicated numbers into smaller, manageable parts and subtract those.
These techniques help simplify the subtraction process, especially when dealing with larger or negative numbers.
Basic Algebraic Operations
Within algebra, basic operations include addition, subtraction, multiplication, and division. Grasping these is essential for solving equations and expressions.
Algebraic operations follow an order of precedence known as "order of operations."
  • **Addition and Subtraction**: These are inverse operations, and understanding their relationship helps in solving algebraic equations.
  • **Multiplication and Division**: Similarly, these are opposite operations and have a stronger precedence over addition and subtraction.
  • **Commutative and Associative Properties**: Addition and multiplication are commutative and associative--meaning it doesn鈥檛 matter how you order or group them, the result is the same.
Knowing these operations and properties forms the basis of solving more complex algebraic problems and aids in understanding relationships within equations.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Palo Alto, California, a government agency ordered computer-related companies to contribute to a pool of money to clean up underground water supplies. (The companies had stored toxic chemicals in leaking underground containers.) The mathematical model $$ C=\frac{200 x}{100-x} $$ describes the cost, \(C,\) in tens of thousands of dollars, for removing \(x\) percent of the contaminants. Use this formula to solve. a. Find the cost, in tens of thousands of dollars, for removing \(50 \%\) of the contaminants. b. Find the cost, in tens of thousands of dollars, for removing \(80 \%\) of the contaminants. c. Describe what is happening to the cost of the cleanup as the percentage of contaminant removed increases.

Explain how to find the multiplicative inverse of a number.

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I evaluated the formula \(d=\sqrt{1.5 h}\) for a value of \(h\) that resulted in a rational number for \(d\).

Explain how to add two numbers with a number line. Provide an example with your explanation.

Give an example of an integer that is not a natural number.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.