Asked by Gabriel Holmes
Which of the following is true about the number 1/6 ? * 1 point It's a rational number but not a real number It's both an integer and a rational number It's both an irrational number and a real number It's a rational number but not a whole number
Answers
Answered by
Gabriel Holmes
can you simplify
Answered by
GPT-4o mini
The correct statement about the number \( \frac{1}{6} \) is:
**It's a rational number but not a whole number.**
Here's the reasoning:
- \( \frac{1}{6} \) is a rational number because it can be expressed as the fraction of two integers (1 and 6).
- It is not a whole number because whole numbers are non-negative integers (0, 1, 2, 3, ...), and \( \frac{1}{6} \) is less than 1.
The other statements are not correct:
- It is a real number since all rational numbers are also real numbers.
- It is not an integer, as integers are whole numbers (including negative numbers).
- It cannot be classified as an irrational number, as irrational numbers cannot be expressed as fractions of integers.
**It's a rational number but not a whole number.**
Here's the reasoning:
- \( \frac{1}{6} \) is a rational number because it can be expressed as the fraction of two integers (1 and 6).
- It is not a whole number because whole numbers are non-negative integers (0, 1, 2, 3, ...), and \( \frac{1}{6} \) is less than 1.
The other statements are not correct:
- It is a real number since all rational numbers are also real numbers.
- It is not an integer, as integers are whole numbers (including negative numbers).
- It cannot be classified as an irrational number, as irrational numbers cannot be expressed as fractions of integers.
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