Real Numbers encompass all rational and irrational numbers, forming a complete and continuous number line essential for various mathematical concepts.
Flash Cards - Real Numbers
Flash Cards - Real Numbers
1/10
What is the Fundamental Theorem of Arithmetic?
1/10
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be uniquely factored into a product of prime numbers.
2/10
Give an example of an irrational number.
2/10
√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.
3/10
Define irrational numbers.
3/10
Irrational numbers are real numbers that cannot be expressed as a ratio of two integers and have non-repeating, non-terminating decimal expansions.
4/10
What is the difference between rational and irrational numbers?
4/10
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.
5/10
Can you give an example of an irrational number?
5/10
One example of an irrational number is the square root of 2 (√2).
6/10
What is the Fundamental Theorem of Arithmetic?
6/10
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be uniquely factored into a product of prime numbers.
7/10
Define irrational numbers.
7/10
Irrational numbers are real numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions.
8/10
What is the difference between rational and irrational numbers?
8/10
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.
9/10
Can you give an example of an irrational number?
9/10
One example of an irrational number is the square root of 2 (√2).
10/10
Explain the concept of prime numbers.
10/10
Prime numbers are natural numbers greater than 1 that are only divisible by 1 and themselves.
