/*! 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 4 Simplify. Show your steps. $$2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 4

Simplify. Show your steps. $$20 \div 2 \cdot 5+6$$

Short Answer

Expert verified
Question: Simplify the expression: 20 梅 2 脳 5 + 6 Answer: 56

Step by step solution

01

Apply division operation from left to right

First we perform the division operation from left to right: $$20 \div 2 \cdot 5+6 = 10 \cdot 5 + 6$$
02

Apply multiplication operation from left to right

Now we'll perform the multiplication operation, from left to right: $$10 \cdot 5 + 6 = 50 + 6$$
03

Apply addition operation from left to right

Finally, we perform the addition operation, from left to right: $$50 + 6 = 56$$ So the simplified expression is 56.

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.

Division
Division is one of the fundamental operations in arithmetic and is usually performed first when following the order of operations rule. In our problem, we begin by dividing 20 by 2. This step simplifies the expression significantly by converting it into an easier form to manage. Here's why division comes first:
  • The order of operations dictates that both division and multiplication should be performed before addition or subtraction.
  • When division appears from left to right with multiplication, it is completed in the exact order it appears in the expression.
In this case, dividing 20 by 2 gives us 10. Always remember, in a series of operations, division needs to be completed as it appears from left to right.
Multiplication
Multiplication is the next operation after division, according to the order of operations. From our original expression, after division, we are left with 10 multiplied by 5. Multiplication is crucial because it often scales numbers up, impacting subsequent calculations immensely:
  • Just like division, multiplication is performed from left to right before moving on to addition or subtraction.
  • In our example, multiplying 10 by 5 transforms the expression to a simpler form: 50.
Be attentive when following the multiplication step, as working out on the wrong order might lead to confusion and incorrect results.
Addition
After completing both division and multiplication, we are left with addition in our expression. In this case, adding 50 and 6 is the final arithmetic operation. Here鈥檚 how addition plays a role in our overall solution:
  • Addition, like subtraction, is performed after all divisional and multiplicational activities have been completed.
  • By adding 50 and 6, we reach the simplest form of our expression: 56.
In any mathematical expression, handling each operation methodically, as arranged by the order of operations, eliminates errors and provides accurate results.
Simplification
Simplification is all about making an expression easier to understand and solve. Using the order of operations simplifies complex expressions by ensuring each step is organized:
  • The process involves applying arithmetic operations according to set rules, to break down expressions into single numbers or simpler forms.
  • In our task, following the sequence of division, multiplication, and addition, the initial expression became more digestible, leading to the final result: 56.
Simplification not only highlights a clear path for arriving at answers but also strengthens your problem-solving techniques by reinforcing proper operational order.

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. A bus is a box with a volume of 2520 cubic feet. If the bus is 35 feet long by 8 feet wide, what is the height of the bus?

Simplify. Show your steps. $$9(2 \cdot 7-6 \cdot 2)$$

Solve. A box has a volume of 30,600 cubic centimeters. If the height is 60 centimeters and the length is 15 centimeters, find the width.

Simplify. Show your steps. $$2(14+3)-8 \cdot 2+(9-2)$$

Find the mean, median, and mode. $$9,6,15,4,12,18,6$$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

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.