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Questions and Answers
Which of the following is a rational number?
Which of the following is a rational number?
- 2/0
- 1/2 (correct)
- 3/0
- 1/0
Which statement about the number 0 is true?
Which statement about the number 0 is true?
- 0 only has negative values.
- 0 can be represented as a fraction. (correct)
- 0 is not a rational number.
- 0 cannot be expressed as 0/1.
What defines a number as rational?
What defines a number as rational?
- It is always a whole number.
- It can be expressed as a fraction with a non-zero denominator. (correct)
- It has a zero denominator.
- It can be represented in decimal form only.
Which of the following fractions is not a rational number?
Which of the following fractions is not a rational number?
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Which of the following representations illustrates a rational number?
Which of the following representations illustrates a rational number?
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Study Notes
Rational Numbers
- A rational number is defined as any fraction where the denominator is a non-zero integer.
- Examples of rational numbers include fractions like 1/2, 1/5, and 3/4.
- The number "0" qualifies as a rational number because it can be expressed as 0 divided by any non-zero integer (e.g., 0/1, 0/2, 0/3).
Non-Rational Numbers
- Fractions with zero as the denominator, such as 1/0, 2/0, and 3/0, are not rational numbers.
- Dividing by zero does not yield a defined numerical value and is considered undefined or infinite.
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Description
This quiz explores the concepts of rational and non-rational numbers, defining each and providing examples. Understand how fractions and the property of zero in the denominator relate to these classifications.
