/*! 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 30 Simplify. $$ 23+18 \cdot 20 ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 30

Simplify. $$ 23+18 \cdot 20 $$

Short Answer

Expert verified
383

Step by step solution

01

Understand the Order of Operations

Evaluate the expression using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
02

Perform Multiplication

According to PEMDAS, perform the multiplication first. Simplify the expression by calculating the product of 18 and 20.\[18 \times 20 = 360\]
03

Perform Addition

Now add the result of the multiplication to 23.\[23 + 360 = 383\]

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 solve any mathematical expression correctly and in an organized way, we use the order of operations. PEMDAS is an acronym that helps us remember the order:
  • Parentheses
  • Exponents
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

This means when you encounter a combination of these in an expression, handle them according to this order. For example, in the exercise
\(23 + 18 \times 20\),
we need to first perform the multiplication before addition.
Multiplication
Multiplication is one of the fundamental operations in math. It is the process of adding a number to itself a specified number of times. For example, multiplying 18 by 20 means adding 18 to itself 20 times. We can simplify the multiplication more conveniently:
\[ 18 \times 20 = 360 \]
It鈥檚 crucial to remember that, according to PEMDAS, multiplication is done before addition. This helps avoid errors in simplifying expressions that combine multiple operations.
Addition
Addition is a basic arithmetic operation where two or more numbers are combined to make a sum. After handling multiplication in our expression, the next step is to handle the addition. Let's revisit the simplified expression:
\[ 23 + 360 \]
We add the 23 and 360 to arrive at the final value:
\[ 23 + 360 = 383 \]
By following PEMDAS, we ensure the operations are executed in the right order, leading to the correct solution.

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

Solve by trial. $$ y \cdot 17=0 $$

Solve. $$ 23,465 \cdot x=8,142,355 $$

Solve. Be sure to check. $$ 660=12 \cdot n $$

Simplify. $$ 52-(40-8) $$

Simplify. $$ 144 \div 4-2 $$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

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.