The real number system

Front

What is the real number system?

Back

The real number system includes all the numbers that can be found on the number line, including rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

What are whole numbers?

Back

Whole numbers are non-negative integers, including 0, 1, 2, 3, and so on.

Front

What are integers?

Back

Integers are whole numbers that can be positive, negative, or zero, such as -3, 0, and 5.

Front

What are rational numbers?

Back

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

Front

What are irrational numbers?

Back

Irrational numbers cannot be expressed as a simple fraction; their decimal representation goes on forever without repeating, like √2 or π.

Front

Is 0 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as 0/1.

Front

Are all integers rational numbers?

Back

Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is the relationship between whole numbers and integers?

Back

All whole numbers are integers, but not all integers are whole numbers (e.g., -1 is an integer but not a whole number).

Front

Classify the number 1/2.

Back

1/2 is a rational number and also a real number.

Front

Classify the number -23.

Back

-23 is an integer, a rational number, and a real number.