Rational numbers are numbers that can be expressed as a fraction where the numerator and denominator are both integers. A rational number can be represented in multiple ways, including as a fraction, a decimal, and a percentage. Understanding the multiple representations of rational numbers is important for solving problems and comparing quantities.
A rational number can be represented as a fraction, such as 3/4, 5/2, or 7/9. In a fraction, the numerator represents the part of the whole, while the denominator represents the total number of equal parts.
Rational numbers can also be represented as decimals. When a rational number is expressed as a decimal, it can be terminating (e.g., 0.75) or repeating (e.g., 0.333...). Converting between fractions and decimals is a key skill when working with rational numbers.
Another way to represent rational numbers is as a percentage. Percentages are used to compare quantities and are calculated as a fraction of 100. For example, 0.5 as a percentage is 50%.
Here are some key points to remember when working with multiple representations of rational numbers:
By mastering the multiple representations of rational numbers, you'll be better equipped to solve mathematical problems and understand the relationships between different forms of numbers.
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