/*! 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 126 In the following exercises, simp... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 126

In the following exercises, simplify using the order of operations. $$ 5[2+4(3-2)] $$

Short Answer

Expert verified
The simplified result is 30.

Step by step solution

01

Evaluate the expression inside the parentheses

First, solve the expression inside the parentheses: 3-2=1
02

Multiply inside the parentheses

Next, multiply the result by the number outside the parentheses: 4(3-2)=4(1)=4.
03

Add inside the brackets

Now, add the result to the remaining numbers within the brackets: 2+4.
04

Multiply the final result

Finally, multiply the result by the number outside the brackets: 5[2+4]=5[6]=30.

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.

Understanding Parentheses
Parentheses are vital in mathematical expressions because they dictate the order in which operations are performed. When you see parentheses, always solve what is inside them first. This ensures that the overall calculation is correct and follows the priority rules set by the order of operations.
In the given exercise, we start by looking inside the parentheses: \(3 - 2\). Here鈥檚 a pro tip: always work on any inner parentheses first if you have nested ones. By solving parenthetical expressions first, you remove potential mistakes from your subsequent calculations.
Mastering Multiplication
Multiplication is performed after parentheses but before addition and subtraction in order of operations. To simplify, you must multiply the numbers immediately after solving the expressions inside the parentheses.
In our exercise, after solving \(3 - 2 = 1\), we then multiply this result by 4 (since it is right next to the parentheses). The calculation \(4 \times 1 = 4\) simplifies this part further before moving on to the next operation. Remember: multiplication must always be resolved before moving on to addition or subtraction steps that follow.
Adding It All Together
Addition comes after you have taken care of any parentheses and multiplication. In this step, simply add the simplified results together to find the final answer.
In our example, after resolving multiplication, the expression now looks like this: \[5[2 + 4]\]. Start by adding inside the brackets: \(2 + 4 = 6\). Finally, multiply this result by 5, giving you: \(30\).
Breaking down each step ensures you follow the correct order of operations to arrive at the accurate final result.

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

Convert the units. At take-off, an airplane weighs 220,000 pounds. Convert the weight to tons.

Make the unit conversions. Round to the nearest tenth. Frankie is 42 inches tall Convert his height to centimeters.

Simplify using the distributive property. $$ 5(2 n+9)+12(n-3) $$

Convert the units. June's multivitamin contains \(\begin{array}{llll}1,500 & \text { milligrams of calcium. }\end{array}\) Convert this to grams.

Convert the units. Lynn's cruise lasted 6 days and 18 hours. Convert the time to hours.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

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.