/*! 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 39 Evaluate each of the following: ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 39

Evaluate each of the following: $$8-11$$

Short Answer

Expert verified
-3

Step by step solution

01

- Identify the operation

Identify that the operation here is subtraction: \( 8 - 11 \).
02

- Subtract the numbers

Perform the subtraction: \( 8 - 11 \). Since 11 is larger than 8, the result will be negative.
03

- Calculate the result

Since subtracting a larger number from a smaller number results in a negative value, compute: \( 8 - 11 = -3 \).

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.

Subtraction
Subtraction is one of the four basic arithmetic operations, and it involves taking one number away from another. In simple terms, if you have a number and you subtract a smaller number from it, you get the difference between the two. For example, if you subtract 3 from 5, you get 2. This is written as: \( 5 - 3 = 2 \).
Subtraction can also involve negative numbers, especially when you subtract a larger number from a smaller number, which is what we have in the problem \( 8 - 11 \). Understanding this will help you perform more complex calculations down the line.
Steps to perform subtraction:
  • Identify the operation by looking at the minus sign ('-').
  • Arrange the numbers properly.
  • Subtract them and note their sign by comparing their size.
Negative Numbers
Negative numbers are numbers that are less than zero. They are represented with a minus sign in front of them, such as \( -1 \) or \( -3 \). Negative numbers are used to represent values that are below zero, like temperatures in colder regions or a loss in a business transaction. In the given problem, we encounter a negative result because we are subtracting a larger number (11) from a smaller number (8). This operation will always result in a negative number.
Let's break down the problem \( 8 - 11 \):
  • First, find the positive difference between 11 and 8, which is 3.
  • Since 11 is greater than 8, the result will be negative.
  • Therefore, \( 8 - 11 = -3 \).
Whenever you subtract a bigger number from a smaller one, your answer will be negative.
Basic Arithmetic
Basic arithmetic includes simple operations like addition, subtraction, multiplication, and division. These are the foundational skills needed for more advanced math topics. Subtraction, as discussed, helps us determine the difference between numbers. Here's a quick refresher on the basic operations:

  • Addition: Combining two numbers to get their total, e.g., \( 5 + 3 = 8 \).
  • Subtraction: Taking one number away from another, as shown in our example problem \( 8 - 11 \).
  • Multiplication: Repeated addition of a number, e.g., \( 4 \cdot 3 = 12 \).
  • Division: Splitting a number into equal parts, e.g., \( 12 \/ 4 = 3 \).

Mastering these basics will aid greatly in solving various mathematical problems. Remember, practice is key to becoming proficient in 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

Perform the indicated operations on the given inequality. Sketch the resulting inequality on a number line. \(-2

A store manager orders carpet for her showroom and office space. The showroom area requires 225 sq yd more carpet than the office space. She chooses carpet for the showroom costing \(\$ 15.39\) per sq yd and carpet for the office costing \(\$ 9.99\) per sq yd. If the total cost of the carpet ordered is \(\$ 7,650.45,\) how many square yards were ordered for the office?

Separate the following equations into groups of equivalent equation \(=\) \(\begin{aligned} x+1 &=16 \\ x &=-1 \\ x+7 &=6 \end{aligned}\) \(\begin{aligned} 2 x &=18 \\ x-3 &=12 \\ x &=9 \end{aligned}\) \(\begin{aligned} 2 x &=10 \\ x+2 &=11 \\ 5 x &=25 \end{aligned}\) \(\begin{aligned} x &=15 \\ 2 x &=30 \\ x-2 &=7 \end{aligned}\)

Solve each of the problems algebraically. That is, set up an equation and solve it. Be sure to clearly label what the variable represents. Round your answer to the nearest tenth where necessary. The length of a rectangle is 7 more than twice its width. If the perimeter of the rectangle is \(50 \mathrm{cm},\) find the dimensions of the rectangle.

Solve the given inequality. Round off your answers to the nearest hundredth where necessary. $$0.5(x-0.3)>0.25(x+3)$$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Statistics

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.