Questions and Answers
Rational numbers are real numbers.
False
Real numbers are irrational numbers.
False
Real numbers are integers.
False
Whole numbers are integers.
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Natural numbers are whole numbers.
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Whole numbers are rational numbers.
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Natural numbers are rational numbers.
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Pi (3.14159...) is a rational number.
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Rational numbers are negative.
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Natural numbers are negative.
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The number zero is irrational.
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Irrational numbers are fractions.
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Irrational numbers are square roots.
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Integers are positive.
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The square roots of perfect squares are rational.
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Irrational numbers are integers.
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Zero is a whole number.
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Rational numbers are decimals.
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Non-terminating decimals are irrational.
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Pi (3.14159...) is an irrational number.
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Natural numbers are positive.
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Whole numbers are positive.
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Repeating decimals are rational numbers.
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Repeating decimals can be written as fractions.
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Zero is an integer.
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Integers are natural numbers.
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Integers are negative numbers.
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Study Notes
Rational Numbers
- Rational numbers are always real numbers.
- Rational numbers can be negative but this is sometimes the case.
Real Numbers
- Real numbers can be irrational numbers, but this is only sometimes true.
- They can also be integers, though this is again sometimes true.
Whole Numbers
- Whole numbers are always integers.
- Whole numbers are always rational numbers.
- Zero is included in whole numbers and is always considered a whole number.
Natural Numbers
- Natural numbers are always whole numbers.
- They are always rational numbers and always positive.
- Natural numbers are never negative.
Irrational Numbers
- Pi (3.14159...) is never a rational number and is always considered an irrational number.
- Irrational numbers are never fractions and are sometimes square roots.
- Irrational numbers are never integers.
Zero
- The number zero is never irrational and is always an integer.
Decimals
- Rational numbers can sometimes be expressed as decimals.
- Non-terminating decimals can sometimes be irrational.
- Repeating decimals are always rational numbers and can always be represented as fractions.
Integers
- Integers can sometimes be positive and sometimes be negative.
- Integers include natural numbers, but this is only sometimes true.
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Description
Test your understanding of the real number system with these flashcards. Each card presents a statement about different types of numbers, asking whether the statement is always, sometimes, or never true. Challenge yourself to differentiate between rational, irrational, integers, whole numbers, and natural numbers.
