/*! 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 29 Find the value of each expressio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 29

Find the value of each expression. $$ 13+9 \cdot 5 $$

Short Answer

Expert verified
The value of the expression is 58.

Step by step solution

01

- Understand the Order of Operations

To solve the expression, it's important to follow the correct order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
02

- Perform Multiplication First

According to the order of operations, multiplication comes before addition. So, begin by multiplying the numbers: \( 9 \times 5 = 45 \)
03

- Add the Results

Now, take the result of the multiplication and add it to the remaining number: \[ 13 + 45 = 58 \]

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
When faced with solving mathematical expressions, it's essential to follow the established order of operations. This order is encapsulated in the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

This sequence is crucial because it ensures consistency in how everyone solves any given problem. If you ignore this order, you might end up with a different answer.

Let's break PEMDAS down:
  • Parentheses: Always work on operations inside parentheses first.
  • Exponents: Next, handle any numbers raised to a power.
  • Multiplication and Division: Perform these operations as you encounter them, working from left to right.
  • Addition and Subtraction: Finally, handle these operations, also from left to right.
In the provided exercise, there were no parentheses or exponents, so the first operation was to handle the multiplication before moving on to addition.
Multiplication
Multiplication is one of the fundamental arithmetic operations you need to master. It involves adding a number to itself a certain number of times.

For the problem provided, multiplication comes into play because of PEMDAS. Given the expression \texttt{13+9 \times 5}, we first perform the multiplication: 9 times 5.
Mathematically, this can be written as:
\[ 9 \times 5 = 45 \]
Only after computing this multiplication should we proceed to the next steps. Ignoring this rule could lead to incorrect results. Understanding and applying multiplication correctly in the order of operations is crucial for accurate calculations.
Addition
After addressing multiplication, the next step for our expression is addition. Addition involves combining numbers to get a total sum.

In the given exercise after performing the multiplication, we are left with: \[ 13 + 45 \] Adding these two numbers gives us:
\[ 13 + 45 = 58 \]
It's important to always perform addition last if there are other operations like multiplication or division preceding it. This is why understanding and following PEMDAS is crucial, ensuring your calculations are accurate and complete. Breaking down these basic steps can simplify complex problems and contribute to a solid foundation in math.

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 each problem. The largest change in temperature ever recorded within a 24 -hr period occurred in Montana, on January \(23-24,1916\). The temperature fell \(100^{\circ} \mathrm{F}\) from a starting temperature of \(44^{\circ} \mathrm{F} .\) What was the low temperature during this period?

Perform each indicated operation. $$ |-4-2|-|-8-1| $$

Decide whether each statement is true or false. \(-|8|>|-9|\)

The operation of division is used in divisibility tests. A divisibility test allows us to determine whether a given number is divisible (without remainder) by another number. An integer is divisible by 5 if its last digit is divisible by \(5,\) and not otherwise. Show that (a) \(3,774,595\) is divisible by 5 and (b) \(9,332,123\) is not divisible by 5

Find each difference. $$ 5.7-(-11.6) $$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

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.