Classifying Real Numbers

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal number that has a finite number of digits after the decimal point, such as 0.5 or 2.75.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely, such as 0.333... or 1.666... .

Front

What is a whole number?

Back

A whole number is a non-negative integer, which includes 0, 1, 2, 3, and so on.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers, and its decimal representation is non-terminating and non-repeating, such as √2 or π.

Front

Classify the number -4.

Back

-4 is an integer but not a whole number because whole numbers are non-negative.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

Classify the number 6.7.

Back

6.7 is a real number and a rational number because it can be expressed as 67/10.

Front

Can a rational number be negative?

Back

Yes, rational numbers can be negative, such as -1/2 or -3.

Front

What is the difference between integers and whole numbers?

Back

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

Front

Is 0 a rational number?

Back

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