/*! 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 76 Perform the operations. $$ 1... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 76

Perform the operations. $$ 1-2-3 $$

Short Answer

Expert verified
The result is -4.

Step by step solution

01

Identify the operation types

The exercise involves basic arithmetic operations, specifically subtraction. We have the equation: \[ 1 - 2 - 3 \]
02

Simplify Left to Right

According to the order of operations, we perform subtraction from left to right. First, subtract 2 from 1:\[ 1 - 2 = -1 \]
03

Continue the Subtraction

Now we subtract 3 from the result of the first operation:\[ -1 - 3 \] Subtracting 3 from -1 gives:\[ -1 - 3 = -4 \]

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.

Arithmetic Operations
Arithmetic operations are the foundation of elementary algebra and involve four primary actions: addition, subtraction, multiplication, and division. Each of these operations helps us process numbers in different ways to achieve specific results or solve equations. Here, we are focusing on subtraction, one of the basic arithmetic operations.
  • Addition: Combining numbers to get a sum.
  • Subtraction: Removing a number from another to get the difference.
  • Multiplication: Increasing a number by a factor of another.
  • Division: Splitting a number into equal parts by another.
Understanding these operations is key to solving more complex mathematical problems. Simple equations, like \(1 - 2 - 3\), may only involve subtraction, yet they require careful handling to prevent mistakes.
Order of Operations
In mathematics, the order of operations is essential in ensuring that expressions are solved correctly and consistently. While dealing with multiple arithmetic operations, knowing which to perform first can make a difference in the outcome.

The standard rule in mathematics for this order is the acronym PEMDAS:
  • Parentheses
  • Exponents (or indices)
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)
For the problem \(1 - 2 - 3\), subtraction is the only operation, which implies that we work from left to right per the PEMDAS guide. This approach prevents errors that occur if operations were executed randomly.
Subtraction
Subtraction is an arithmetic operation used for calculating the difference between two numbers. It involves removing the value of one number (the subtrahend) from another (the minuend). This operation can result in negative numbers, especially when the subtrahend is greater than the minuend.

In the example \(1 - 2 - 3\), we perform subtraction twice:
  • First, subtract 2 from 1, resulting in a negative number: \(-1\).
  • Next, continue by subtracting 3 from \(-1\), further decreasing the value to \(-4\).
Understanding how to handle negative numbers during subtraction is vital. Each subtraction moves further left on the number line, demonstrating the importance of correctly following arithmetic operations.

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

Simplify each expression, if possible. $$ -9(3 r-9)-7(2 r-7) $$

History. Plato, a famous Greek philosopher, died in 347 B.C. at the age of \(81 .\) When was he born?

Evaluate each expression for \(x=-3\) and \(y=-5\) $$ \frac{2 y+1}{x}-x $$

Simplify each expression, if possible. $$ -0.2 r-(-0.6 r) $$

Simplify by combining like terms. $$ 9 z-7-z-19 z $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

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.