/*! 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 65 Review operations with real numb... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 65

Review operations with real numbers. Simplify. $$ (3-7)-(4-8) $$

Short Answer

Expert verified
0

Step by step solution

01

Simplify Inside the Parentheses

Start by simplifying expressions within the parentheses.\[3-7 = -4\] and \[4-8 = -4\]
02

Substitute Simplified Values

Replace the simplified values back into the expression:\[(-4) - (-4)\]
03

Subtract the Simplified Values

Subtract the two results:\[-4 - (-4) = -4 + 4\]
04

Perform the Addition

Finish by adding the numbers:\[-4 + 4 = 0\]

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.

simplifying expressions
Simplifying expressions is a fundamental skill in algebra that helps to reduce complex problems into more manageable ones. This involves performing operations such as addition, subtraction, multiplication, and division in a systematic way, following specific rules.
For example, in the expression
parentheses in algebra
When working with expressions that include parentheses, it's important to resolve the operations inside the parentheses first. This is in accordance with the 'order of operations' rule, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
In the given exercise:
subtraction and addition of real numbers
Understanding how to properly subtract and add real numbers is key to solving many algebra problems. Real numbers include both positive and negative numbers, and it's important to handle the signs correctly.
In the exercise example, note how the negative signs are managed:
the first step is

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

Write a problem for a classmate to solve. Devise it so that the problem can be translated to the equation \(x+(x+2)+(x+4)=375\)

To prepare for Section 2.5, review translating to algebraic expressions and equations. Translate to an algebraic expression or equation. It has been determined that at the age of \(10,\) a girl has reached \(84.4 \%\) of her final adult height. Dana is \(4 \mathrm{ft} 8 \mathrm{in.}\) at the age of \(10 .\) What will her final adult height be?

Use an inequality and the five-step process to solve each problem. Most insurance companies will replace a vehicle if an estimated repair exceeds \(80 \%\) of the "blue-book" value of the vehicle. Michelle's insurance company paid \(\$ 8500\) for repairs to her Subaru after an accident. What can be concluded about the blue-book value of the car?

The perimeter of a rectangle is \(101.74 \mathrm{cm} .\) If the length is \(4.25 \mathrm{cm}\) longer than the width, find the dimensions of the rectangle.

Match the sentence with one of the following: $$ a
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Calculus

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.