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

Convert the decimal 0.55 to a fraction and simplify.

Back

\( \frac{11}{20} \)

Front

Which of the following is an example of an integer? -9, 0.567, 1/2, -0.957643...

Back

-9

Front

What is the square root of 45? Is it rational or irrational?

Back

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

Front

Solve for x: \( x^3 = \frac{1}{8} \)

Back

\( x = \frac{1}{2} \)

Front

What is the value of \( \sqrt{29} \) between which two integers?

Back

Between 5 and 6.

Front

What is the decimal representation of \( \frac{3}{4} \)?

Back

0.75

Front

Is the number 0 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as \( \frac{0}{1} \).

Front

What is the decimal representation of \( \frac{1}{3} \)?

Back

0.333... (repeating decimal).