/*! 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 Explain the procedure to change ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 29

Explain the procedure to change a percent to a decimal.

Short Answer

Expert verified
Remove the %, divide by 100, and position the decimal point.

Step by step solution

01

- Understand the Concept of Percent

A percent represents a part per hundred. For example, 45% means 45 parts out of 100.
02

- Remove the Percent Sign

Eliminate the percent sign (%) from the given percentage. For instance, change 45% to 45.
03

- Divide by 100

Convert the number to a decimal by dividing it by 100. For example, 45 divided by 100 is 0.45. The mathematical operation to perform is 45 梅 100 = 0.45.
04

- Confirm the Position of the Decimal Point

Place the decimal point according to the division. In this example, 45% becomes 0.45 after dividing by 100.

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.

percentages
Percentage is a way to express a number as a part of a whole, specifically as parts per 100. When you see a percentage, think of it as how many out of 100 something is. For example, 25% means 25 out of 100, or one-fourth of the total amount. Understanding this helps make sense of why we divide by 100 when converting percentages to decimals. We are basically readjusting the number from 'parts per hundred' to a more straightforward decimal form.
decimal conversion
Decimal conversion is the process of changing a number from one format to another. In the case of converting percentages to decimals, we are changing a fraction of 100 into its decimal form.
For instance, 50% means 50 out of 100. To convert this to decimal form:
  • First, remove the % sign, leaving you with the number 50.
  • Then, divide 50 by 100 to get 0.50.
This conversion helps us compare values more easily and perform mathematical operations efficiently.
basic math operations
Basic math operations form the foundation of all mathematics. For converting percentages to decimals, the key operation is division. Let's break it down:
  • Division is one of the essential mathematical operations. It involves splitting a number into equal parts.
  • When you divide a number by 100, you are essentially moving the decimal point two places to the left. For instance, dividing 75 by 100 shifts it to 0.75.
Remember, having a good grasp of division makes converting percentages to decimals much easier.
division
Division helps us determine how many times one number is contained within another. In converting percentages to decimals, we use division to adjust the number from parts per hundred to a decimal:
Here's a step-by-step method:
  • Identify the percentage you want to convert (e.g., 80%).
  • Remove the percentage symbol (%), giving you 80.
  • Divide the number by 100 using the formula: \[ \text{Decimal} = \frac{\text{Percentage}}{100} \].
  • For instance, \[ 80\text{%} = \frac{80}{100} = 0.80 \].
This results in the decimal 0.80, representing the percentage 80%.

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

During a weak economy, milk prices increased during a 1 -year period. The average price in 2008 was \(\$ 3.90 .\) If this value is \(126 \%\) of the price from 2007 , determine the price in 2007 . Round to two decimal places. (Source: U.S. Department of Agriculture)

Of the 87 panthers living in the wild in Florida, 11 are thought to live in Everglades National Park. To the nearest tenth of a percent, what percent is a his? (Source: U.S. Fish and Wildlife Services) (IMAGES CANNOT COPY)

Convert the decimal to a percent. $$0.277$$

Write the fraction in percent notation to the nearest tenth of a percent. $$\frac{8}{11}$$

Fifty-two percent of American parents have started to put money away for their children's college educations. In a survey of 800 parents, how many would be expected to have started saving for their children's education? (Source: USA TODAY)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

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.