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Chapter 1: Problem 1

Fill in the blanks. ______ means parts per one hundred.

Short Answer

Expert verified
Percent

Step by step solution

01

Understanding the Term

We start by examining the phrase "parts per one hundred," which indicates a division of a whole into one hundred equal parts.
02

Identify Key Terms

The term that represents a division into one hundred parts is rooted in the Latin language. In Latin, 'cent' refers to one hundred.
03

Connect with Common Usage

The term commonly used in mathematics and statistics that means "parts per one hundred" is 'percent'. This is because 'per' translates to 'for each' and 'cent' means 'hundred', forming the word 'percent'.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mathematics
In the realm of mathematics, the concept of percentages is fundamental. A percentage is a way of expressing a number as a fraction of 100. This operation is incredibly useful for comparing numbers in a uniform manner. When you say 50 percent, you are actually saying 50 out of 100.
For example, suppose you have a class of 100 students and 50 of them passed a test. To find the percentage of students who passed, you would take the number of students who passed (50) and divide it by the total number of students (100), which gives you 0.5. When you multiply this by 100, you get 50%.
  • Percent (%) represents a ratio of the number to one hundred.
  • It鈥檚 widely used in areas like finance, science, and everyday life.
  • Mathematical calculations often involve converting other forms of numbers into percentages for simpler comparisons.
Statistics
In statistics, percentages play a crucial role in data interpretation and presentation. They allow statisticians to express data as proportions of a whole, enhancing clarity and understanding. For instance, if a survey revealed that 20 out of 150 people preferred cats over dogs, it might be more insightful to say 13.33% preferred cats.
This conversion helps in quickly grasping the scale of the preference, as percentages are more intuitive to interpret than raw data.
  • Percentages simplify communcation of statistical findings, making data easier to digest.
  • Using percentages can make it easier to compare datasets of different sizes.
  • In graphical data representations, percentages can highlight trends and significant differences succinctly.
Latin Language
The etymology of the word 'percent' reveals its roots in the Latin language. Knowing the origins of mathematical terms can enhance understanding. The word "percent" originates from the Latin words "per centum," which translates to "by the hundred."
This naturally reflects the idea of dividing a whole into 100 parts. In Latin, "centum" means one hundred, and this concept is widely used not just in percent, but in other terms like century, which represents 100 years.
  • 'Per' is Latin for 'by' or 'for each.'
  • 'Cent' is derived from 'centum,' reinforcing the idea of division into hundred parts.
  • Understanding Latin roots provides insights into many English words and terminologies.

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Most popular questions from this chapter

a. The number of decades, is, the number of years, divided by 10. b. The cost of dining out, equals, the cost of the meal, plus \(\$ 15\) for parking.

Multiply: \(100(0.67 x)\)

Fill in the blanks. The set of _____ numbers is \(\\{0,1,2,3,4,5, \ldots\\},\) the set of _____ numbers is \(\\{1,2,3,4,5, \ldots\\},\) and the set of ______ is \(\\{. . .,-2,-1,0,1,2, \ldots\\}\)

Translate each phrase to an algebraic expression. Answers may vary depending on the variables chosen. a. the quotient of a number and 6 increased by the number b. the quotient of a number and \(6,\) increased by the number

Translate each phrase to an algebraic expression. Answers may vary depending on the variables chosen. one-hundredth of the distance
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