Real Numbers encompass all rational and irrational numbers, forming a complete and continuous number line essential for various mathematical concepts.
Flash Cards - Real Numbers
Front
What is the Fundamental Theorem of Arithmetic?
Back
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be uniquely factored into a product of prime numbers.
Front
Give an example of an irrational number.
Back
√2 is an example of an irrational number as it cannot be expressed as a simple fraction and its decimal representation is non-repeating and non-terminating.
Front
Define irrational numbers.
Back
Irrational numbers are real numbers that cannot be expressed as a ratio of two integers and have non-repeating, non-terminating decimal expansions.
Front
What is the difference between rational and irrational numbers?
Back
Rational numbers can be expressed as a ratio of two integers and have either terminating or repeating decimal expansions, while irrational numbers cannot be expressed as a ratio of two integers and have non-repeating, non-terminating decimal expansions.
Front
Can you give an example of an irrational number?
Back
One example of an irrational number is the square root of 2 (√2).
Front
What is the Fundamental Theorem of Arithmetic?
Back
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be uniquely factored into a product of prime numbers.
Front
Define irrational numbers.
Back
Irrational numbers are real numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions.
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be uniquely factored into a product of prime numbers.
Front
Give an example of an irrational number.
Back
√2 is an example of an irrational number as it cannot be expressed as a simple fraction and its decimal representation is non-repeating and non-terminating.
Front
Define irrational numbers.
Back
Irrational numbers are real numbers that cannot be expressed as a ratio of two integers and have non-repeating, non-terminating decimal expansions.
Front
What is the difference between rational and irrational numbers?
Back
Rational numbers can be expressed as a ratio of two integers and have either terminating or repeating decimal expansions, while irrational numbers cannot be expressed as a ratio of two integers and have non-repeating, non-terminating decimal expansions.
Front
Can you give an example of an irrational number?
Back
One example of an irrational number is the square root of 2 (√2).
Front
What is the Fundamental Theorem of Arithmetic?
Back
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be uniquely factored into a product of prime numbers.
Front
Define irrational numbers.
Back
Irrational numbers are real numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions.
Front
What is the difference between rational and irrational numbers?
Back
Rational numbers can be expressed as a fraction of two integers and have either terminating or repeating decimal expansions, while irrational numbers cannot be expressed in that form.
Front
Can you give an example of an irrational number?
Back
One example of an irrational number is the square root of 2 (√2).
Front
Explain the concept of prime numbers.
Back
Prime numbers are natural numbers greater than 1 that are only divisible by 1 and themselves.
