/*! 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 27 Perform each division using a ca... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 27

Perform each division using a calculator. \(3 \div 16\) and round to 3 decimal places.

Short Answer

Expert verified
The result of 3 divided by 16, rounded to three decimal places, is 0.188.

Step by step solution

01

Understand the Problem

We need to divide the number 3 by 16 using a calculator. Once we have the result, we will round it to three decimal places.
02

Use a Calculator for Division

Use a calculator to divide 3 by 16. Input 3, then the division symbol, and then 16. The result you get on the calculator display will be a decimal.
03

Interpret and Record the Result

From the calculator, the result of the division is approximately 0.1875.
04

Round to Three Decimal Places

Look at the fourth decimal place of the result, which is 0.1875. If the fourth decimal place is 5 or greater, round the third decimal place up by one. Since the fourth decimal is 5, 0.1875 becomes 0.188 when rounded to three decimal places.

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.

Understanding Decimal Places
When performing division, especially when the numbers don't divide evenly, you end up with a decimal number. Decimal places are the positions to the right of the decimal point. They help us understand and measure how precise a number is. In many calculations, it's important to specify how many decimal places to use to present the result accurately. For example, in scientific calculations, more decimal places might be necessary for precision. In everyday mathematics, fewer decimal places are often used for simplicity. Understanding and correctly using decimal places can make your mathematical results more reliable.
Calculator Usage in Division
In today's world, calculators are an essential tool for performing arithmetic easily and quickly. When dividing numbers like in the example of 3 divided by 16, a calculator simplifies the process:
  • Turn on the calculator.
  • Enter the first number (3 in this case).
  • Press the division symbol (/).
  • Enter the second number (16 here).
  • Press the equals button (=) to see the result.
The calculator displays a decimal result that might be lengthy. This is where understanding how to round or interpret this number becomes crucial. Calculators save time and reduce errors, but it's important to ensure you understand what the result means.
Techniques for Rounding Numbers
Rounding is a mathematical strategy used to simplify numbers, usually for ease of understanding or because the exact value isn't necessary. To round a number to a certain number of decimal places:
  • Identify which decimal place you need to round to. For instance, rounding to three decimal places.
  • Look at the digit immediately to the right of this place. This is the rounding digit.
  • If the rounding digit is 5 or greater, increase the digit in the target place by one.
  • If it's less than 5, keep the target digit the same.
In our exercise, with a result like 0.1875, we looked at the fourth decimal digit (5) to round it to three decimal places, transforming 0.1875 into 0.188. Rounding helps make numbers simpler and often more useful for practical applications.

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

Perform the following operations. \(8 \frac{1}{3} \cdot\left(\frac{1 \frac{1}{4}}{2.25}+\frac{9}{25}\right)\)

Perform each operation and simplify. $$ 6.9 \div 12 $$

Perform each operation. $$ \frac{15}{602} \cdot\left(2 . \overline{6}+3 \frac{1}{4}\right) $$

Perform each operation and simplify. $$ 1,000 \cdot 1,816.001 $$

Read each decimal by writing it in words. 8.105
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

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.