Classify Real Numbers

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

Define a rational number.

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

Define an irrational number.

Back

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

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

What is a whole number?

Back

A whole number is a non-negative integer, which includes zero and all positive integers.

Front

Is -4 an integer?

Back

Yes, -4 is an integer.

Front

Is -4 a whole number?

Back

No, -4 is not a whole number because whole numbers cannot be negative.

Front

What type of number is 0?

Back

0 is both an integer and a whole number.

Front

Is 3.7 a rational number?

Back

Yes, 3.7 is a rational number because it can be expressed as 37/10.

Front

Is π a rational number?

Back

No, π is an irrational number because it cannot be expressed as a fraction.