Percentage Mastery

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Questions and Answers

In mathematics, what is a percentage and how is it typically denoted?

A percentage is a number or ratio expressed as a fraction of 100, often denoted using the percent sign (%), pct., pct, or sometimes pc.

What is 45% equal to in fraction and decimal form?

45% is equal to the fraction $45/100$ and the decimal 0.45.

How would you express 50% of the total number of students in a class if there are 500 students?

If 50% of the total number of students in the class are male, that means that 250 of them are male.

What is the term used to express a number as a fraction of 1,000, and what is its symbol?

<p>One can express a number as a fraction of 1,000 using the term 'per mille' or the symbol '‰'.</p> Signup and view all the answers

What are percentages often used to express, and what other term and symbol can be used to express a proportionate part of a total?

<p>Percentages are often used to express a proportionate part of a total. Similarly, one can also express a number as a fraction of 1,000 using the term 'per mille' or the symbol '‰'.</p> Signup and view all the answers

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Study Notes

What is a Percentage?

A percentage is a number or ratio expressed as a fraction of 100
It is often denoted using the percent sign (%), but can also be abbreviated as pct., pct, or pc
A percentage is a dimensionless number, primarily used to express proportions

Characteristics of Percentages

A percentage is a unit of measurement, despite being a pure number
Percentages are used to express a proportionate part of a total

Interpreting Percentages

A percentage can be read as a ratio or a fraction, e.g., 45% is equal to 45/100 or 0.45
It can also be expressed as a proportion, e.g., 45:55 (or 45:100 when comparing to the total)