The set of rational numbers includes the set of all numbers that can be expressed as fractions in the form 𝑎/𝑏 where 𝑎 and 𝑏 are integers and 𝑏 does not equal zero. The decimal form of a rational number can be expressed as a terminating or repeating decimal.
Lessons for this standard
Resources cannot be aligned to this standard, browse sub-standards to find lessons.
More specific sub-standards
Similar standards in other grades
Proper fractions, improper fractions, and mixed numbers are terms often used to describe fractions. A proper fraction is a fraction whose numerator is less than the denominator. An improper fraction is a fraction whose numerator is equal to or greater than the denominator. An improper fraction may be expressed as a mixed number. A mixed number is written with two parts: a whole number and a proper fraction (e.g., 3 5/8). Fractions can have a positive or negative value.
The set of rational numbers includes the set of all numbers that can be expressed as fractions in the form 𝑎𝑏 where a and b are integers and b does not equal zero. The decimal form of a rational number can be expressed as a terminating or repeating decimal.
Some fractions can be rewritten as equivalent fractions with denominators of powers of 10, and can be represented as decimals or percents (e.g., 3/5 = 6/10 = 60/100 = 0.60 = 60%). Fractions, decimals, and percents can be represented by using an area model, a set model, or a measurement model.
The set of irrational numbers is the set of all nonrepeating, nonterminating decimals. An irrational number cannot be written in fraction form (e.g., 𝜋, √2, 1.232332333…).
Identify the decimal and percent equivalents for numbers written in fraction form including repeating decimals.