/*! 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. $$ 3-4 \cdot 2 $... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 30

Simplify. $$ 3-4 \cdot 2 $$

Short Answer

Expert verified
-5

Step by step solution

01

Understand the Order of Operations

According to the order of operations (PEMDAS/BODMAS), multiplication and division are performed before addition and subtraction. So first, identify and perform any multiplication or division in the equation.
02

Perform the Multiplication

Identify the multiplication in the equation, which is ewline \(4 \times 2\). Calculate the result: \(4 \times 2 = 8\).
03

Substitute Back into the Equation

Replace the multiplication part in the original equation with its result. The equation now becomes ewline \(3 - 8\).
04

Perform the Subtraction

Finally, perform the subtraction: \(3 - 8 = -5\).

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
PEMDAS is a helpful acronym that stands for: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. This order tells you which operations to perform first in a math equation.

When simplifying, always begin with:
  • Parentheses first (do any calculations inside parentheses).
  • Then handle Exponents (like squared or cubed numbers).
  • Next come Multiplication and Division, done from left to right.
  • Lastly, deal with Addition and Subtraction, also from left to right.

Understanding PEMDAS ensures you solve equations correctly and avoid errors.
Multiplication and Division
In the PEMDAS order, Multiplication and Division come after Parentheses and Exponents, but before Addition and Subtraction.

Here's what to remember:
  • First, look left to right and perform any Multiplication or Division as you find them in the equation.
  • It's crucial to do these first because they can significantly change the outcome if performed out of order.

For example, in the equation from the exercise, you have to solve the multiplication part first:
ewline \(4 \times 2\)
Once you have the result of that multiplication, you can move to the next step.
Addition and Subtraction
Once all Parentheses, Exponents, Multiplication, and Division are handled, move on to Addition and Subtraction. Just like Multiplication and Division, these operations are performed from left to right.

Remember:
  • Addition and Subtraction are the last operations you perform.
  • Doing these steps in this order ensures your final answer is correct.

Looking at the exercise example:
ewline After doing the multiplication (4 脳 2 = 8), replace it in the equation:
ewline \(3 - 8\)
Finally, perform the subtraction:

\(3 - 8 = -5\)
And that gives you the simplified form of the equation!

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

Evaluate using a calculator. $$ 1.5+(2 x-y)^{2}, \text { for } x=9.25 \text { and } y=1.7 $$

Translate to an inequality. The distance from \(t\) to 0 is at least \(20 .\)

Simplify. $$ \frac{-3^{3}-2 \cdot 3^{2}}{8 \div 2^{2}-(6-|2-15|)} $$

Solve. Consider only integer replacements. $$|x|<3$$

Simplify. Jake keys \(18 / 2 \cdot 3\) into his calculator and expects the result to be \(3 .\) What mistake is he probably making?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Pure 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.