Rational vs Irrational

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; it cannot be written as a ratio of two integers.

Front

Is 0 a rational number?

Back

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

Front

Is -3.5 a rational number?

Back

Yes, -3.5 is a rational number because it can be expressed as -7/2.

Front

What are whole numbers?

Back

Whole numbers are non-negative integers, including 0 (e.g., 0, 1, 2, 3, ...).

Front

What are integers?

Back

Integers are whole numbers that can be positive, negative, or zero (e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

Is 1/3 a rational number?

Back

Yes, 1/3 is a rational number because it can be expressed as a fraction of two integers.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits (e.g., 0.333... is a repeating decimal).

Front

Is the square root of 2 a rational number?

Back

No, the square root of 2 is an irrational number because it cannot be expressed as a fraction of two integers.

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.