Practice Rational Irrational Closure Rules

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

What is the sum of two rational numbers?

Back

The sum of two rational numbers is always a rational number.

Front

What is the sum of a rational number and an irrational number?

Back

The sum of a rational number and an irrational number is always an irrational number.

Front

What is the product of two rational numbers?

Back

The product of two rational numbers is always a rational number.

Front

What is the product of a nonzero rational number and an irrational number?

Back

The product of a nonzero rational number and an irrational number is always an irrational number.

Front

If a and b are rational numbers, what can we say about a + b?

Back

If a and b are rational numbers, then a + b is also a rational number.

Front

If a is a rational number and b is an irrational number, what can we say about a + b?

Back

If a is a rational number and b is an irrational number, then a + b is an irrational number.

Front

Provide an example of a sum of a rational number and an irrational number that results in an irrational number.

Back

Front

What is the closure property of rational numbers under addition?

Back

The closure property states that the sum of any two rational numbers is also a rational number.