Classify Real Numbers

Front

What are the main categories of real numbers?

Back

Real numbers can be classified into rational and irrational numbers.

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero.

Front

Give an example of a rational number.

Back

An example of a rational number is ⅚ or 6.7.

Front

What are 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

Provide an example of an irrational number.

Back

An example of an irrational number is √2 or π.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

Classify the number -12.

Back

-12 is a real number, rational number, and an integer.

Front

What is the relationship between rational and irrational numbers?

Back

Rational and irrational numbers together make up the real number system.

Front

Classify the number 17/10.

Back

17/10 is a rational number.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates or repeats.