Classifying 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

What is 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

What is 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 -12 a rational number?

Back

Yes, -12 is a rational number because it can be expressed as -12/1.

Front

Is 6.7 a rational number?

Back

Yes, 6.7 is a rational number because it can be expressed as 67/10.

Front

Is 74.8̅ a natural number?

Back

No, 74.8̅ is not a natural number because natural numbers are positive integers without fractions or decimals.

Front

Which of the following is NOT a rational number: 5, -3, 0.75, or √2?

Back

√2 is NOT a rational number because it cannot be expressed as a fraction.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.