/*! 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 46 For exercises 1-80, evaluate. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 46

For exercises 1-80, evaluate. $$ (50-24) \cdot 3 \div 2 $$

Short Answer

Expert verified
The result is 39.

Step by step solution

01

- Subtract inside the parentheses

First, solve the subtraction inside the parentheses: $$ 50 - 24 = 26 $$
02

- Multiply the result by 3

Next, you multiply the result from step 1 by 3: $$ 26 \times 3 = 78 $$
03

- Divide by 2

Finally, take the result from step 2 and divide it by 2: $$ 78 \textbackslash 2 = 39 $$

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
When faced with complex mathematical expressions, it's crucial to know the correct sequence of operations. This sequence is known as the order of operations. The standard order can be remembered using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Always follow this order. For example, in the expression \( (50-24) \cdot 3 \div 2 \), we first handle what's inside the parentheses, then perform the multiplication, and finally the division.
Arithmetic
Arithmetic operations are the basic calculations we perform with numbers. They include addition, subtraction, multiplication, and division. These operations are the building blocks for solving more complex math problems. Each operation has specific properties and rules. For instance, subtraction is not commutative, meaning that \( 50-24 \eq 24-50 \). Also, division is not commutative, so \( 78 \div 2 \eq 2 \div 78 \). Recognizing these basics will help in correctly interpreting and solving math expressions.
Parentheses in Expressions
Parentheses are used in expressions to indicate that the operations inside them should be performed first. This is an application of the order of operations. In our exercise, \( (50-24) \cdot 3 \div 2 \), parentheses tell us to first calculate the value inside them: \( 50-24 \). Once inside the parentheses is solved, we move to the next steps. Ignoring parentheses can lead to incorrect results, so always pay attention to them in any expression.
Multiplication and Division
Multiplication and division are performed after parentheses and exponents, following the sequence from left to right within the same expression. In our exercise, after solving \( 50-24 = 26 \), the next step is multiplication: \( 26 \times 3 = 78 \). Finally, divide the result by 2: \( 78 \div 2 = 39 \). Remember that both multiplication and division must be executed in the order they appear from left to right, not all multiplication first. Skipping or rearranging these steps leads to errors in solving the expression properly.

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

$$ \text { Round } 7.298 \text { to the nearest hundredth. } $$

$$ \text { Round } 0.87 \text { to the nearest tenth. } $$

If 3 out of 300 people own a ferret, find the percent of the people that own a ferret.

$$ 0.4-0.9 $$

For exercises 115-118, evaluate. On a scientific calculator, use the fraction key. For graphing calculators, use the Frac command to rewrite the decimal answer as a fraction. $$ \frac{5}{34}+\frac{8}{21} $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Mechanics 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.