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. Examples include 1/2, 2.5, and -3.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It is a decimal that goes on forever without repeating. Examples include π and √2.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits. For example, 0.333... (which is equal to 1/3) is a repeating decimal.

Front

What is a whole number?

Back

Whole numbers are non-negative numbers without fractions or decimals. They include 0, 1, 2, 3, and so on.

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 fractions and have non-repeating, non-terminating decimal expansions.

Front

Is -3 a rational number?

Back

Yes, -3 is a rational number because it can be expressed as -3/1.

Front

What type of number is 2.5?

Back

2.5 is a rational number because it can be expressed as the fraction 5/2.

Front

What is an example of an irrational number?

Back

An example of an irrational number is π (pi), which is approximately 3.14159 and cannot be expressed as a fraction.

Front

What is a perfect cube root?

Back

A perfect cube root is a number that can be expressed as the cube of an integer. For example, the cube root of 27 is 3, since 3^3 = 27.

Front

What is the set of whole numbers?

Back

The set of whole numbers includes all non-negative integers: {0, 1, 2, 3, ...}.