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Questions and Answers
If you want to express a percentage as a fraction, what does the percentage represent?
If you want to express a percentage as a fraction, what does the percentage represent?
- The numerator of the fraction with a denominator of 100. (correct)
- The product of the fraction when multiplied by 100.
- The denominator of the fraction with a numerator of 100.
- The numerator of the fraction with a denominator of 1.
What is the purpose of using a common base (like 100 or 1000) when comparing data from different years?
What is the purpose of using a common base (like 100 or 1000) when comparing data from different years?
- To give the numbers a percentage sign.
- To simplify the calculations and provide a standardized comparison. (correct)
- To make the numbers larger and easier to read.
- To reflect the actual total number of students.
If the number of students passing in 2005 out of 500 students is 400, what would be the equivalent number of students passing out of 100?
If the number of students passing in 2005 out of 500 students is 400, what would be the equivalent number of students passing out of 100?
- 60
- 80 (correct)
- 90
- 70
Why might you choose a base of 10,000 or 100,000 (1 lakh) instead of 100 when comparing numbers?
Why might you choose a base of 10,000 or 100,000 (1 lakh) instead of 100 when comparing numbers?
What is 75% expressed as a simplified fraction?
What is 75% expressed as a simplified fraction?
If 60 out of 200 students passed an exam, what percentage of students passed?
If 60 out of 200 students passed an exam, what percentage of students passed?
In the context of expressing percentages in different forms, what other forms can percentages be written in?
In the context of expressing percentages in different forms, what other forms can percentages be written in?
If a school had 500 students, and the passing rate increased from 80% in 2022 to 90% in 2023, how many more students passed in 2023 compared to 2022?
If a school had 500 students, and the passing rate increased from 80% in 2022 to 90% in 2023, how many more students passed in 2023 compared to 2022?
You want to compare the success rate of two different projects. Project A had 30 successes out of 50 attempts, and Project B had 50 successes out of 100 attempts. Which project had a better success rate?
You want to compare the success rate of two different projects. Project A had 30 successes out of 50 attempts, and Project B had 50 successes out of 100 attempts. Which project had a better success rate?
What is the decimal form of 25%?
What is the decimal form of 25%?
Flashcards
Percent
Percent
A comparison using a base of 100; 'per hundred'.
What does 25% mean?
What does 25% mean?
25% means 25 out of 100, can be written as 25/100.
50% as a fraction
50% as a fraction
50% is the same as 50 out of 100 and can be written as the fraction 50/100, which simplifies to 1/2.
Forms of Percentage
Forms of Percentage
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Study Notes
- In the years 2002, 2003, and 2004, the number of students who passed out from the common base 400 were 320, 360, and 376, respectively and the year 2004 had the best result.
- It is possible to choose 100, 1000, or 10000 as the base for comparison.
- The number of students passed in the year 2002 out of 100 is 160/200 * 100 = 80.
- The number of students passed in the year 2003 out of 100 is 360/400 * 100 = 90.
- The number of students passed in the year 2004 out of 100 is 282/300 * 100 = 94.
- The number of students who passed in the years 2002, 2003, and 2004 using 100 as the common base is 80, 90, and 94, respectively.
- Using 100 as a common base for comparison is referred to as "percent" or "per hundred."
- When comparing large numbers, use 1000, 10000, or 1 lakh as the base to say per thousand, per ten thousand, or per lakh, respectively.
Expressing Percentage into Different Forms
- 25% means 25 out of 100 and 50% means 50 out of 100.
- Percentages, being ratios and fractions, can also be expressed as decimals.
Conversion of Percentage into Fraction
- 50% means 50 out of 100 and can be written as 50/100.
- 50% in terms of 1 is 1/2.
Activity
- Change 25% into a fraction.
- Change 75% into a fraction.
Conversion of Percentage into Ratio
- Percentages can be converted into ratios.
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