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:

- Understand the relationship between fractions, decimals, and percentages.
- Practice converting between fractions, decimals, and percentages.
- Be able to compare and order rational numbers in different representations.
- Apply the different representations to solve real-world problems.

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.

.Study GuideMultiple Representation of Rational Numbers Worksheet/Answer key

Multiple Representation of Rational Numbers Worksheet/Answer key

Multiple Representation of Rational Numbers Worksheet/Answer key

Multiple Representation of Rational Numbers

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.