/*! 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 117 Use the order of operations to s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 117

Use the order of operations to simplify each expression. $$\frac{2(-2)-4(-3)}{5-8}$$

Short Answer

Expert verified
The simplified form of given expression is \(-\frac{8}{3}\).

Step by step solution

01

Handle the Numerators and Denominators Separately

First, we'll evaluate the expression in the numerator and the denominator separately. The numerator is \(2(-2)-4(-3)\) and the denominator is \(5-8\).
02

Apply Order of Operations in the Numerator

Starting with the numerator, we'll use PEMDAS/BODMAS order i.e., multiplication first then subtraction: \(2\times(-2) -4\times(-3)\) which then simplifies to \(-4 - (-12)\). Finally, subtraction gives the result as \(-4 + 12 = 8\).
03

Solve the Denominator

The denominator operation is simple subtraction: \(5 - 8\), which equals to \(-3\).
04

Divide Numerator by Denominator

The final step is to divide the numerical value from the numerator (which is 8) by the numerical value obtained in the denominator (which is -3). So, our final answer is \(-\frac{8}{3}\).

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!

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 by reducing the index of the radical. $$ \sqrt[12]{x^{4} y^{8}} $$

Explain how to add \(\sqrt{3}+\sqrt{12}\)

will help you prepare for the material covered in the first section of the next chapter. If \(y=|x+1|,\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-4\) and ending with 2

Evaluate each expression. $$ \sqrt[3]{\sqrt{\sqrt{169}+\sqrt{9}}+\sqrt{\sqrt[3]{1000}+\sqrt[3]{216}}} $$

Factor Completely. $$12 x^{2}(x-1)-4 x(x-1)-5(x-1)$$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Probability and 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.