Question
Is 9.32332333 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 . a rational or irrational​ number?
Question content area bottom
Part 1
Choose the correct answer below.
irrational number
rational number
Question content area bottom
Part 1
Choose the correct answer below.
irrational number
rational number
Answers
GPT-4o mini
To determine if 9.32332333 is a rational or irrational number, we should first understand the definitions:
- **Rational numbers** are numbers that can be expressed as the quotient of two integers (i.e., a fraction \(\frac{a}{b}\), where \(a\) and \(b\) are integers and \(b \neq 0\)).
- **Irrational numbers** are numbers that cannot be expressed as a simple fraction. They have non-repeating, non-terminating decimal expansions.
The number 9.32332333 is a decimal with a repeating pattern (the "33" repeats). Since it can be represented as a fraction, it is a rational number.
Thus, the answer is:
**rational number**.
- **Rational numbers** are numbers that can be expressed as the quotient of two integers (i.e., a fraction \(\frac{a}{b}\), where \(a\) and \(b\) are integers and \(b \neq 0\)).
- **Irrational numbers** are numbers that cannot be expressed as a simple fraction. They have non-repeating, non-terminating decimal expansions.
The number 9.32332333 is a decimal with a repeating pattern (the "33" repeats). Since it can be represented as a fraction, it is a rational number.
Thus, the answer is:
**rational number**.