Rational and Irrational Numbers Review

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).

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 \( \frac{a}{b} \) where \( a \) and \( b \) are integers.

Front

What is the square root of \( \frac{16}{81} \)?

Back

The square root of \( \frac{16}{81} \) is \( \frac{4}{9} \).

Front

Identify the decimal equivalent of the fraction \( \frac{7}{20} \).

Back

The decimal equivalent of \( \frac{7}{20} \) is 0.35.

Front

Which of the following is an irrational number: 9.6, \( \sqrt{45} \), \( \frac{3}{8} \), 3.4 x 10^5?

Back

The irrational number is \( \sqrt{45} \).

Front

What number system does \( \sqrt{7} \) belong to?

Back

\( \sqrt{7} \) belongs to the irrational number system.

Front

Convert the decimal 0.35 to a fraction.

Back

0.35 can be converted to the fraction \( \frac{7}{20} \).

Front

What is the decimal equivalent of \( \frac{4}{9} \)?

Back

The decimal equivalent of \( \frac{4}{9} \) is approximately 0.444.

Front

Is the number 2.5 rational or irrational?

Back

The number 2.5 is a rational number because it can be expressed as \( \frac{5}{2} \).

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 irrational.