/*! 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 Write decimal notation. $$ \... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 27

Write decimal notation. $$ \frac{19}{100,000} $$

Short Answer

Expert verified
0.00019

Step by step solution

01

Understand the fraction

The given fraction is \(\frac{19}{100,000}\). Identify the purpose of the fraction: it represents 19 parts out of 100,000.
02

Convert the fraction to a decimal

To convert \(\frac{19}{100,000}\) to decimal notation, divide the numerator by the denominator. This can be calculated as:\[\frac{19}{100,000} = 0.00019\]
03

Write the final answer

After performing the division, the decimal notation of \(\frac{19}{100,000}\) is 0.00019.

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.

fractions
A fraction is a way to express a part of a whole. It is written as \(\frac{a}{b}\), where \ a \ is the numerator and \ b \ is the denominator.
For example, in the fraction \(\frac{19}{100,000}\), 19 is the numerator and 100,000 is the denominator.
Fractions can be used to represent anything that can be divided into parts:
  • Measurement
  • Ratios
  • Probability
Understanding fractions is key to many aspects of mathematics and daily life.
Knowing how to manipulate and convert them can help you solve various problems.
decimal conversion
Converting a fraction to a decimal makes it easier to understand and work with. This process involves dividing the numerator by the denominator. For instance, for the fraction \( \frac{19}{100,000} \), you divide 19 by 100,000.
When you perform this division, you get 0.00019. Decimal numbers are a simpler way to represent fractions, especially in real-life applications like money or measurements.
Here's a simple way to achieve this:
  • Divide the numerator (top number) by the denominator (bottom number).
  • Place the resulting quotient in decimal form.
This method works for any fraction and is very useful for converting them into a more recognizable format.
numerator and denominator
Understanding the parts of a fraction is essential. The numerator is the top number in a fraction and represents how many parts out of the whole you have. For example, in \( \frac{19}{100,000} \), 19 is the numerator.
The denominator is the bottom number and shows into how many parts the whole is divided. In this instance, 100,000 is the denominator.
Here are some key points to remember:
  • The numerator can be any integer.
  • The denominator must be a non-zero integer.
  • A larger denominator means smaller parts.
Understanding these components helps in performing various operations with fractions, like addition, subtraction, multiplication, and division.

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

Add. $$ 4 \frac{1}{3}+2 \frac{1}{2} $$

A group of 4 students pays \(\$ 47.84\) for lunch and splits the cost equally. What is each person's share?

Andrew bought a DVD of the movie Horton Hears a Who for his nephew for \(\$ 23.99\) plus \(\$ 1.68\) sales tax. He paid for it with a \(\$ 50\) bill. How much change did he receive?

Lot A measures \(250.1 \mathrm{ft}\) by \(302.7 \mathrm{ft}\). Lot B measures \(389.4 \mathrm{ft}\) by \(566.2 \mathrm{ft}\). What is the total area of the two lots?

Estimate by rounding as directed. $$ \begin{aligned} &0.88+2.07+1.54 ;\\\ &\text { nearest one } \end{aligned} $$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

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.