Podcast
Questions and Answers
What are natural numbers?
What are natural numbers?
Positive whole numbers beginning with one, how you count naturally.
What are real numbers?
What are real numbers?
Any number that can be written on a number line.
What are whole numbers?
What are whole numbers?
All natural numbers plus zero, no fractions/decimals or negative numbers.
What are rational numbers?
What are rational numbers?
What are integers?
What are integers?
What are irrational numbers?
What are irrational numbers?
All real numbers are rational numbers.
All real numbers are rational numbers.
Zero is an integer.
Zero is an integer.
All integers are real numbers.
All integers are real numbers.
Some irrational numbers are real numbers.
Some irrational numbers are real numbers.
Some rational numbers are integers.
Some rational numbers are integers.
Flashcards
Natural Numbers
Natural Numbers
Positive whole numbers starting from 1.
Real Numbers
Real Numbers
Any number on the number line.
Whole Numbers
Whole Numbers
Natural numbers plus zero.
Rational Numbers
Rational Numbers
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Integers
Integers
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Irrational Numbers
Irrational Numbers
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Real numbers are rational
Real numbers are rational
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Zero is an integer
Zero is an integer
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Integers are real numbers
Integers are real numbers
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Irrational numbers are real numbers
Irrational numbers are real numbers
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Rational numbers are integers
Rational numbers are integers
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Study Notes
Natural Numbers
- Defined as positive whole numbers starting from one.
- Used in counting and ordering.
Real Numbers
- Encompass all values that can be represented on a number line.
- Include both rational and irrational numbers.
Whole Numbers
- Comprise all natural numbers plus zero.
- Exclude fractions, decimals, and negative numbers.
Rational Numbers
- Any number that can be expressed as a fraction or a decimal.
- Decimal representation either terminates (ends) or repeats.
Integers
- Consist of whole numbers and their negatives.
- No fractional or decimal components are included.
Irrational Numbers
- Real numbers that cannot be expressed as fractions.
- Their decimal expansions neither terminate nor repeat.
True/False: All real numbers are rational numbers
- False, as real numbers include both rational and irrational numbers.
True/False: Zero is an integer
- True, since zero is considered a whole number and an integer.
True/False: All integers are real numbers
- True, as integers fall under the category of real numbers.
True/False: Some irrational numbers are real numbers
- False, all irrational numbers are included in the set of real numbers.
True/False: Some rational numbers are integers
- True, because integers like -2, -1, 0, 1, and 2 can be represented as fractions (e.g., -2/1).
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