/*! 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 120 Use the order of operations to s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 120

Use the order of operations to simplify each expression. $$\frac{12 \div 3 \cdot 5\left|2^{2}+3^{2}\right|}{7+3-6^{2}}$$

Short Answer

Expert verified
The simplified expression is -10.

Step by step solution

01

Simplify Inside Absolute Values and Parentheses

The first step according to BODMAS/BIDMAS principles is to simplify the expression inside the absolute value which also acts as parentheses or brackets. It includes powers or indices and addition. So we simplify \(2^{2}+3^{2}\) to get \(4 + 9 = 13\). And our expression becomes \(\frac{12 \div 3 \cdot 5\left|13\right|}{7+3-6^{2}}\)
02

Operate Upon Absolute Value

As our expression inside the absolute value is already a positive number, simply remove absolute value notation. So, the expression becomes \(\frac{12 \div 3 \cdot 5\cdot13}{7+3-6^{2}}\)
03

Simplify Division and Multiplication of Numerator

Following BODMAS/BIDMAS principles, first perform division, then multiplication in the numerator. Thus, \(\frac{12 \div 3 \cdot 5\cdot13}{7+3-6^{2}}\) simplifies to \(\frac{4 \cdot 5\cdot13}{7+3-6^{2}}\) and further to \(\frac{20\cdot13}{7+3-6^{2}}\) and finally we get \(\frac{260}{7+3-6^{2}}\)
04

Simplify Addition and Subtraction of Denominator

According to BODMAS/BIDMAS principles, perform addition first, then subtraction in the denominator. Thus, \(\frac{260}{7+3-6^{2}}\) simplifies to \(\frac{260}{10-6^{2}}\), then to \(\frac{260}{10-36}\) and finally we get \(\frac{260}{-26}\)
05

Divide Numerator by Denominator

Perform the division of numerator by denominator, therefore \(\frac{260}{-26} = -10\).

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

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{5}{4} \cdot \frac{8}{15}$$

Will help you prepare for the material covered in the next section. A. Simplify: \(21 x+10 x\) B. Simplify: \(21 \sqrt{2}+10 \sqrt{2}\)

Determine whether each statement is trueor false. If the statement is false, make the necessary change(s) toproduce a true statement. $$x^{3}-64=(x+4)\left(x^{2}+4 x-16\right)$$

Factor completely. $$x^{4}-y^{4}-2 x^{3} y+2 x y^{3}$$

Factor completely. $$-x^{2}-4 x+5$$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

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.