Is 7.11 Rational or Irrational? Quiz & Flashcards

Study Notes

Classification of Numbers: Rational & Irrational

Rational Numbers: Can be expressed as a fraction, where both numerator and denominator are integers, with the denominator not equal to zero.
Irrational Numbers: Cannot be expressed as simple fractions; their decimal expansions are non-repeating and non-terminating.

Examples of Rational Numbers

9.0: A rational number as it can be expressed as 9/1.
-(502/501): Negative fraction that qualifies as rational since it is a ratio of two integers.
7.11: Can be written as 711/100, thus it is a rational number.

Examples of Irrational Numbers

5/π: Represents a ratio involving π, which is an irrational number, making this expression irrational.
0.3π: Involves the irrational number π, hence makes the entire expression irrational.

Quick Recall

Rational numbers include integers, fractions, and finite/recurring decimals.
Irrational numbers consist of non-repeating, non-terminating decimals like √2, π, and e.

Description

Test your understanding of rational and irrational numbers with this set of flashcards. Each card presents a number, and you must classify it as either rational or irrational. Perfect for students looking to reinforce their knowledge in mathematics!