/*! 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 64 Evaluate the given expression. R... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 64

Evaluate the given expression. Remember to follow the order of operations. $$12-2 \cdot 5$$

Short Answer

Expert verified
2

Step by step solution

01

Identify the order of operations

Remember the order of operations using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
02

Perform the multiplication

In the expression, we have the multiplication operation first. Calculate the product of 2 and 5: \[ 2 \times 5 = 10 \]
03

Perform the subtraction

Now, subtract 10 from 12: \[ 12 - 10 = 2 \]

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
Understanding the order of operations is crucial in mathematics. The acronym PEMDAS stands for:
  • P: Parentheses
  • E: Exponents
  • M: Multiplication
  • D: Division
  • A: Addition
  • S: Subtraction
This sequence ensures everyone solves mathematical expressions consistently and correctly.
For the expression \(12 - 2 \cdot 5\), PEMDAS tells us to handle any Parentheses first (none here), followed by Exponents (none here), then Multiplication or Division (from left to right) and finally Addition or Subtraction (from left to right). Keeping PEMDAS in mind will guide you through ordering your operations correctly.
multiplication
In our example \(12 - 2 \cdot 5\), the next step according to PEMDAS is multiplication.
We look for any multiplication or division in the problem first. Here, \(2 \cdot 5\) requires us to multiply 2 by 5.
  • Performing this calculation gives us \(2 \times 5 = 10\).
Replacing the multiplication result into our expression, it now reads \(12 - 10\). Multiplication is a fundamental operation in math, making it important to handle it correctly following the order of operations.
subtraction
After handling multiplication in our prior steps, the expression was simplified to \(12 - 10\).
The last step is to perform the subtraction operation.
  • Subtract 10 from 12, giving us \(12 - 10 = 2\).
The subtraction step finalizes the expression evaluation following PEMDAS guidelines. Subtraction, like addition, is a basic arithmetic operation and one of the last steps according to PEMDAS. Now you know how we end up with the final answer of 2 from the expression \(12 - 2 \cdot 5\).

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

In Exercises \(73-84\), evaluate the given expression. $$|-4-3+2|-4-3+2$$

Evaluate the given expression. Remember to follow the order of operations. $$\frac{18-3(4-1)}{2 \cdot 3+3}$$

Evaluate the given expression. Remember to follow the order of operations. $$\frac{18-4 \cdot 2}{13-4 \cdot 2}$$

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. $$-4.8$$

In Exercises \(1-72\), compute the value of each expression. $$100-83-45-24$$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

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.