For example, 25% is 25/ 100, which is 1/4. This representation method is widely used in daily life and data analysis in various fields. The concept of percentage will be discussed in detail from the aspects of mathematical definition, usage scenarios and problem solving methods.
First, the mathematical definition:
Percent is a numerical expression relative to 100. It is a numerical value divided by 100, and then expressed by a percent sign. The calculation method of percentage can be expressed by the following formula:
Percentage = (partial population) × 100 Percentage = (partial population) × 100.
For example, if there are 25 boys in a class with a total of 50 students, the percentage of boys is:
Percentage of boys =(2550)× 100=50% Percentage of boys =(5025)× 100=50%.
Second, the use of scenarios:
Business and economy: percentage is widely used in business and economic fields to describe growth rate, profit rate, market share, etc. For example, the company's sales increased by 20% year on year.
Academic and Education: Percentages are an intuitive way to express academic achievements and test scores. For example, 80 points for students can be expressed as 80%.
Science and statistics: percentage is used in statistics to describe probability, frequency, etc. For example, the cure rate of a drug is 90%.
Social surveys and opinion polls: In surveys and tests, the respondents' choices and attitudes are expressed in percentage. For example, the support rate of a political party is 35%.
Health and medicine: in the medical field, percentage is used to indicate the success rate of treatment and the prevalence rate of diseases. For example, a vaccine is 95% effective.
Third, the problem solving method:
Solving the problem of percentage usually includes calculation, comparison and analysis. Here are some ways to solve the problem:
Basic calculation: Divide the required part by the population and multiply it by 100 to get the percentage.
Convert Percentages to Fractions or Decimals: You can convert Percentages to Fractions or Decimals for operation and then back to Percentages.
Comparison of percentages: when comparing the sizes of different percentages, they can be converted into the same fraction or decimal, which makes it easier to compare.
Percent application problem: In the application problem, understand the background of the problem, convert the information in the problem into mathematical expressions, and then solve it.
As a commonly used mathematical expression, percentage is not only widely used in school education, but also plays an important role in practical application in all walks of life. It is intuitive and simple, and it is convenient for people to understand and compare different data. Percentage is not only a concept in mathematics, but also a bridge between mathematics and real life, which provides a convenient tool for people to better understand and apply mathematical knowledge.