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Chapter 8: Problem 25

In Exercises \(21-34\), express each percent as a decimal. \(130 \%\)

Short Answer

Expert verified
Therefore, 130\% expressed as a decimal is 1.3

Step by step solution

01

Understanding Percentage

Percentage is a number or ratio expressed as a fraction of 100. This is typically denoted using the \% character. In this case, we have 130\%, which means 130 per 100 or 130/100.
02

Convert Percentage to Decimal

To convert the percentage to a decimal, we need to divide the percentage (130) by 100. Calculating 130 divided by 100 yields 1.3.

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Key Concepts

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

Mathematics Education
Understanding mathematical concepts like percentages and decimals is fundamental for students. These concepts are not only crucial in academics but are also applicable in real-life scenarios. Mathematics education aims to simplify complex ideas, making them accessible to learners of all levels.
  • Percentages help in understanding parts of a whole, useful in finance, statistics, and everyday calculations.
  • Decimal numbers enable precise calculations, essential in sciences and engineering.

By focusing on clear methods and step-by-step solutions, students can build confidence and competence in handling numbers. It's all about connecting abstract ideas with tangible examples, aiding in better comprehension.
Percentage
A percentage represents a portion out of 100. When we talk about 130%, it essentially signifies 130 out of 100, or 130 parts per every 100 parts. This concept is widely used in fields such as finance, discounts in shopping, statistical data, and even interest rates.
  • Percentages allow us to easily compare different quantities.
  • They are intuitive, showing how one number relates to another as a fraction of 100.

Understanding percentages involves knowing how to manipulate them, such as converting to decimals by dividing the number by 100. This conversion is a basic yet powerful tool that simplifies mathematical operations involving percentages.
Decimal Numbers
Decimal numbers are a way to represent numbers where each digit holds a value depending on its position relative to the decimal point. After converting 130% to a decimal, we get 1.3. Here's how decimal positioning works:
  • The number 1 in 1.3 is a whole number, representing the entirety of one complete unit.
  • The .3 represents the fractional part, which is three-tenths (0.3), showing a part of the next whole unit.

Decimal numbers allow us to express complete and partial quantities with precision. They are especially useful in measurements, financial calculations, and when dealing with exact values. Mastering decimal representation enhances mathematical fluency and ease in continual learning.

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