/*! 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 62 Evaluate the given expression. R... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 62

Evaluate the given expression. Remember to follow the order of operations. $$20-5 \cdot 3$$

Short Answer

Expert verified
The result of the expression is 5.

Step by step solution

01

- Understand the Order of Operations

Recall the order of operations, commonly remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
02

- Identify Operations in the Expression

Look at the expression: \(20 - 5 \cdot 3\). There are two operations: subtraction (\(-\)) and multiplication (\(\cdot\)). According to PEMDAS, multiplication should be performed before subtraction.
03

- Perform the Multiplication

First, multiply 5 by 3: \(5 \cdot 3 = 15\). Now replace the multiplication part in the expression: \(20 - 15\).
04

- Perform the Subtraction

Subtract 15 from 20: \(20 - 15 = 5\).

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.

PEMDAS
To evaluate expressions correctly, it's important to follow the order of operations, commonly remembered by the acronym PEMDAS:
  • Parentheses
  • Exponents
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Let's break it down: You should handle anything inside parentheses first. Next, take care of exponents. After that comes multiplication and division, done from left to right. Finally, you address addition and subtraction, also from left to right.
If you skip or rearrange these steps, you might get the wrong answer. Remembering PEMDAS helps keep your math in the right order!
multiplication
Multiplication is frequently found in mathematical expressions and comes into play early in the order of operations. In the expression given:
$$20-5 \cdot 3$$
We observe two operations - subtraction and multiplication. According to PEMDAS, multiplication should be performed before subtraction.
So, first multiply 5 by 3. This gives us:
\(5 \cdot 3 = 15\).
After completing this step, you can move on to other operations in the expression.
subtraction
Subtraction is one of the last steps in the order of operations. After handling parentheses, exponents, multiplication, and division, we finally move on to addition and subtraction.
In our example, after performing the multiplication, we get:
$$20 - 15$$
Now, subtract 15 from 20 to get the final result:
\(20 - 15 = 5\).
This shows why it's important to follow the order of operations; doing subtraction too early could lead to a mistake.
evaluate expressions
Evaluating expressions means making sense of a mathematical phrase and finding its value by following a series of steps. The key is to apply the order of operations (PEMDAS) correctly each time.
For example, with the expression:
$$20 - 5 \cdot 3$$
You start by identifying that multiplication comes before subtraction. Performing the multiplication first (5 \cdot 3 = 15), you then replace the original expression with the simplified one:
\(20 - 15\).
Finally, perform the subtraction to get 5.
Understanding how to simplify and solve each piece of the expression in the correct order ensures you get the right answer.

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

Factor the given number into its prime factors. If the number is prime, say so. $$1,904$$

If possible, list three numbers that are members and three numbers that are not members of the given set. If it is not possible, explain why. \(\\{n | n \text { is a rational number but not an integer }\\}\)

Compute the given expression. Round off your answer to two decimal places where necessary. $$0.02(28.6-13.5)$$

Locate the given number between two successive integers on the number line. For example, if the given number is \(2.6,\) it is located between 2 and 3 on the number line. $$-4.8$$

Compute the given expression. Round off your answer to two decimal places where necessary. $$\frac{-8.4}{1.2}$$
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Decision 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.