/*! 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 29 Write decimal notation. $$ \... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 29

Write decimal notation. $$ \frac{78}{10,000} $$

Short Answer

Expert verified
0.0078

Step by step solution

01

Understand the Fraction

The fraction \(\frac{78}{10,000}\) represents the division of 78 by 10,000. To convert this to a decimal, you need to divide the numerator by the denominator.
02

Perform the Division

Carry out the division operation 78 梅 10,000. A simple way to do this is to move the decimal point in 78 four places to the left because 10,000 has four zeros.
03

Move the Decimal Point

Starting with 78, move the decimal point four places to the left. Since 78 can be written as 78.0000, moving the decimal four places to the left gives you 0.0078.

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.

Fraction to Decimal Conversion
A fraction represents a part of a whole. In mathematical terms, the fraction \(\frac{78}{10,000}\) shows how many parts you have out of a total. To convert a fraction into a decimal, you divide the numerator (the top number) by the denominator (the bottom number). This operation effectively transforms the fraction into a value between whole numbers, making it easier to work with in calculations and daily life. Converting the fraction \(\frac{78}{10,000}\) means dividing 78 by 10,000. The resulting decimal is a more straightforward way to express the fraction numerically.
Moving Decimal Points
Moving the decimal point is a handy trick for quickly performing division by powers of ten, such as 10, 100, 1,000, or 10,000. In our example, to convert \(\frac{78}{10,000}\), observe that 10,000 is a power of ten with four zeros. This means you can move the decimal point in your number four places to the left.
Since 78 is a whole number, think of it as 78.0000. Moving the decimal four places left turns 78.0000 into 0.0078. By shifting the decimal, you simplify the operation without cumbersome long division. Remember, the number of zeros in the denominator dictates the number of decimal places you move.
Division by Powers of Ten
Dividing by powers of ten is straightforward once you understand the role of zeros. Powers of ten consist of numbers like 10 (10^1), 100 (10^2), 1,000 (10^3), and so forth. Each zero in these numbers indicates how many places to move the decimal point.
For example, dividing a number by 10 means moving the decimal one place to the left. Dividing by 100 moves it two places, and by 10,000, four places. Using this knowledge, dividing 78 by 10,000 involves shifting the decimal point from 78.0000 to 0.0078. This simple method allows quick and easy calculations, ensuring accuracy in converting fractions to decimals.

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

Estimate. Indicate which of the choices is an appropriate estimate. \(74.68 \div 24.7\) a) 9 b) 3 c) 12 d) 120

Estimate. Indicate which of the choices is an appropriate estimate. \(3.6 \div 4\) a) 10 b) 1 c) 0.1 d) 0.01

Batteries. Charlotte buys 6 packages of AAA batteries at \(\$ 8.79\) per package. Estimate the total cost of the purchase.

Simplify. $$ \frac{125}{400} $$

Add. $$ \begin{array}{r} 13.72 \\ 9.112 \\ 6542.7908 \\ +\quad 23.901 \\ \hline \end{array} $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

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.