Podcast
Questions and Answers
Rational numbers are real numbers.
Rational numbers are real numbers.
False
Real numbers are irrational numbers.
Real numbers are irrational numbers.
False
Real numbers are integers.
Real numbers are integers.
False
Whole numbers are integers.
Whole numbers are integers.
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Natural numbers are whole numbers.
Natural numbers are whole numbers.
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Whole numbers are rational numbers.
Whole numbers are rational numbers.
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Natural numbers are rational numbers.
Natural numbers are rational numbers.
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Pi (3.14159...) is a rational number.
Pi (3.14159...) is a rational number.
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Rational numbers are negative.
Rational numbers are negative.
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Natural numbers are negative.
Natural numbers are negative.
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The number zero is irrational.
The number zero is irrational.
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Irrational numbers are fractions.
Irrational numbers are fractions.
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Irrational numbers are square roots.
Irrational numbers are square roots.
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Integers are positive.
Integers are positive.
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The square roots of perfect squares are rational.
The square roots of perfect squares are rational.
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Irrational numbers are integers.
Irrational numbers are integers.
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Zero is a whole number.
Zero is a whole number.
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Rational numbers are decimals.
Rational numbers are decimals.
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Non-terminating decimals are irrational.
Non-terminating decimals are irrational.
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Pi (3.14159...) is an irrational number.
Pi (3.14159...) is an irrational number.
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Natural numbers are positive.
Natural numbers are positive.
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Whole numbers are positive.
Whole numbers are positive.
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Repeating decimals are rational numbers.
Repeating decimals are rational numbers.
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Repeating decimals can be written as fractions.
Repeating decimals can be written as fractions.
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Zero is an integer.
Zero is an integer.
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Integers are natural numbers.
Integers are natural numbers.
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Integers are negative numbers.
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.
