Classifying Real Numbers

Front

What is a whole number?

Back

A whole number is a non-negative integer, which includes 0 and all positive integers (0, 1, 2, 3, ...).

Front

Which of the following is a whole number? 9, \frac{10}{9}, -3 \frac{1}{2}, 2 \frac{2}{3}

Back

9 is a whole number.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction \( \frac{a}{b} \), where a and b are integers and b is not zero.

Front

Can a rational number be negative?

Back

Yes, rational numbers can be negative, positive, or zero.

Front

Which of the following is a whole number? -2, -10, 10, -1

Back

10 is a whole number.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero (e.g., -3, 0, 4).

Front

Is -4 a whole number? Why or why not?

Back

No, -4 is not a whole number because it is negative and whole numbers are non-negative.

Front

What is the difference between whole numbers and integers?

Back

Whole numbers are non-negative integers (0, 1, 2, ...), while integers include both positive and negative whole numbers, as well as zero.

Front

Which of the following is an integer? 9.1, 8/9, -9, -2.3

Back

-9 is an integer.

Front

What does it mean for a number to be irrational?

Back

An irrational number cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.