Rational vs Irrational

Front

What are whole numbers?

Back

Whole numbers are the set of non-negative integers, including zero. They are represented as {0, 1, 2, 3, ...}.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.

Front

Back

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

Which of the following is NOT an integer: 4, -1, 0, or 3.5?

Back

3.5 is NOT an integer.

Front

What defines a rational number?

Back

Front

Is the number 0 a rational number?

Back

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (e.g., 0.75) or repeats (e.g., 0.333...).

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Back

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimal expansions.