Sets of Real Numbers

Front

What are real numbers?

Back

Real numbers include all rational and irrational numbers, encompassing integers, whole numbers, fractions, and decimals.

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

Define irrational numbers.

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction; their decimal representation is non-repeating and non-terminating.

Front

True or False: Both rational and irrational numbers are real.

Back

True

Front

True or False: All whole numbers are rational.

Back

True

Front

What is an example of an irrational number?

Back

An example of an irrational number is π (pi).

Front

What is an example of a rational number?

Back

An example of a rational number is 1/2 or -3.

Front

True or False: If a number can be written as a fraction, it is rational.

Back

True

Front

What are integers?

Back

Integers are whole numbers that can be positive, negative, or zero, but do not include fractions or decimals.

Front

What is the difference between whole numbers and integers?

Back

Whole numbers are non-negative integers (0, 1, 2, ...), while integers include negative numbers as well (-1, -2, ...).