/*! 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 59 Perform each indicated operation... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 59

Perform each indicated operation. $$ -4+3(2-8) $$

Short Answer

Expert verified
-22

Step by step solution

01

- Evaluate the Expression Inside the Parentheses

First, evaluate the expression inside the parentheses \(2 - 8\).
02

- Calculate Result of Parentheses

Subtract 8 from 2: \(2 - 8 = -6\).
03

- Multiply

Next, multiply 3 by the result of the parentheses: \(3 \times (-6) = -18\).
04

- Add

Finally, add -4 to the result from the multiplication: \(-4 + (-18) = -22\).

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.

Order of Operations
In mathematics, the order of operations is crucial for solving expressions correctly. The typical sequence is often remembered by the acronym PEMDAS:
  • Parentheses
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction
This rule ensures that everyone solves the expressions in the same way.
In the given exercise, the expression is: \(-4 + 3(2-8)\).
  • First, handle the parentheses: \(2-8\)
  • Next, perform the multiplication: \(3 \times -6\)
  • Finally, complete the addition: \(-4 + -18\)
Remembering this sequence helps to simplify complex expressions accurately.
Parentheses in Math
Parentheses in mathematics indicate that the operations inside them should be performed first. They help to organize calculations and ensure the correct order of operations.
For instance, in the expression: \(-4 + 3(2-8)\), we focus first on evaluating \(2-8\).
Here, subtraction takes place: \(2 - 8 = -6\).
The value \(-6\) replaces the parentheses in the original expression, transforming it to: \(-4 + 3 \times -6\).
Without parentheses, the meaning of an expression can change dramatically, leading to incorrect solutions.
Multiplication and Addition
Multiplication and addition are fundamental operations in algebra.
Here鈥檚 how they interact in our expression:
After solving the parentheses, we have \(-6\).
We then multiply it by 3, resulting in: \(3 \times -6 = -18\).
Finally, we add \(-4\) to \(-18\): \(-4 + -18\).
When adding a negative number, it鈥檚 like subtracting its absolute value. So, \(-4 + -18 = -22\).
It's important to remember:
  • Multiplication always precedes addition unless indicated by parentheses.
  • Adding a negative number is the same as subtracting its positive counterpart.
This understanding is key to mastering algebraic 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

Translate each phrase into a mathematical expression. Use \(x\) as the variable. Combine like terms when possible. Six times a number added to \(-4,\) subtracted from twice the sum of three times the number and 4 (Hint: Twice means two times.)

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) $$ (-5+x)(-3+y)(3-a) $$

Write a numerical expression for each phrase and simplify. The product of \(-\frac{2}{3}\) and \(-\frac{1}{5},\) divided by \(\frac{1}{7}\)

Simplify each expression. $$ -4(5 y-7)+3(2 y-5) $$

Write each sentence as an equation, using \(x\) as the variable. Then find the solution from the set of integers between \(-12\) and \(12,\) inclusive. 6 less than a number is 4
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Logic and Functions

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.