/*! 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 59 \(16 \div 8 \cdot 2\)... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 59

\(16 \div 8 \cdot 2\)

Short Answer

Expert verified
4

Step by step solution

01

Identify the Operations

The expression given is \(16 \div 8 \cdot 2\). It involves two operations: division and multiplication.
02

Perform the Division

First, perform the division operation. Divide 16 by 8 to get 2. The expression is now simplified to \(2 \cdot 2\).
03

Perform the Multiplication

Next, perform the multiplication operation. Multiply 2 by 2 to get 4.

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
Understanding division is crucial in mathematics, especially when dealing with multiple operations in one expression. In the original exercise, we started with the expression \(16 \div 8 \cdot 2\)\, which includes both division and multiplication.
Division tells us how many times one number is contained in another. For example, dividing 16 by 8 asks how many times 8 fits into 16. The answer is 2.
\frac{16}{8} = 2\, is the same as asking, 'How many groups of 8 can you make from 16?'. The answer is 2 groups.
It is important to perform division first in this scenario to follow the order of operations (PEMDAS/BODMAS):
  • Parentheses/brackets
  • Exponents/orders
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)
Following this rule ensures the correct result.
multiplication
Multiplication is another key operation in math and follows directly on from division in our example. After performing the division, our expression simplifies to \(2 \cdot 2\).
Multiplication can be seen as repeated addition. For instance, \(2 \cdot 2\) means adding 2 twice: 2 + 2. The answer is 4.
It is essential to follow the order of operations to avoid incorrect results. Even though multiplication is done after division in our problem, both operations hold the same precedence in PEMDAS/BODMAS. Therefore, they are resolved from left to right.
Mastering basic multiplication ensures a strong foundation for tackling more complex math problems.
simplification
Simplification means reducing an expression to its simplest form, making it easier to understand and solve.
In our example, we started with \(16 \div 8 \cdot 2\). Following the order of operations, we first performed the division, getting 2 and then performed the multiplication, resulting in 4.
Breaking down complex expressions into simpler parts is the key to successful simplification. Here are some tips to simplify expressions effectively:
  • Always follow the order of operations (PEMDAS/BODMAS)
  • Solve any operations inside parentheses first
  • Break down complex steps into simpler, manageable parts
  • Double-check each step for accuracy
By following these steps, you can simplify any math expression with confidence and accuracy, ensuring the correct answer.

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

$$ 2300\( earning \)1.75 \%$ annual simple interest for 7 years.

\(\sqrt{18}\)

The shape of a building lot is a trapezoid with bases that measure \(150 \mathrm{ft}\) and \(400 \mathrm{ft}\). The height is \(220 \mathrm{ft}\). Find the area of the lot.

The International Basketball Federation rules (2006) state, "For all men's competitions in all categories, the circumference of the ball shall be no less than \(749 \mathrm{~mm}\) and no more than \(780 \mathrm{~mm}\) (size 7)." Find the maximum volume of the ball in cubic millimeters. Round to the nearest whole number. (Source: www.fiba.com)

Find the volume of a cylinder with a radius of 6 in. and height of \(15 \mathrm{in}\).
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Pure 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.