Decimal Form of a Rational Number
This Grade 6 algebra skill from Yoshiwara Elementary Algebra teaches students to convert rational numbers to their decimal form. Students learn that every rational number can be expressed as either a terminating decimal or a repeating decimal, and practice converting fractions to decimals using long division.
Key Concepts
Property A rational number is one that can be expressed as a quotient (or ratio) of two integers, where the denominator is not zero. The decimal representation of a rational number has one of two forms.
1. The decimal representation terminates, or ends.
2. The decimal representation repeats a pattern.
Common Questions
What is the decimal form of a rational number?
Every rational number can be expressed as a decimal that either terminates (ends) or repeats. For example, 1/4 = 0.25 (terminates) and 1/3 = 0.333... (repeats).
How do you convert a fraction to a decimal?
Divide the numerator by the denominator using long division. The result will either terminate or begin repeating.
How do you recognize a repeating decimal?
A repeating decimal has a digit or group of digits that cycles forever. Write it with a bar over the repeating part: 1/3 = 0.3 with a bar over 3.
What makes a fraction result in a terminating decimal?
A fraction in lowest terms produces a terminating decimal if its denominator has only factors of 2 and 5.
Where is the decimal form of rational numbers taught?
Decimal form of rational numbers is covered in the Yoshiwara Elementary Algebra textbook for Grade 6.