order rational and irrational numbers

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 \( b \neq 0 \). Examples include \( \frac{1}{2} \), 0.75, and -3.

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. Examples include \( \sqrt{2} \), \( \pi \), and e.

Front

How do you compare rational numbers?

Back

To compare rational numbers, convert them to a common denominator or decimal form. The number with the larger value is greater.

Front

What is the decimal representation of \( \frac{19}{25} \)?

Back

The decimal representation of \( \frac{19}{25} \) is 0.76.

Front

Which is larger: \( \frac{19}{25} \) or 0.68?

Back

\( \frac{19}{25} \) is larger than 0.68.

Front

What is the square root of 9?

Back

The square root of 9 is 3.

Front

Which is larger: 3.5 or \( \sqrt{9} \)?

Back

3.5 is larger than \( \sqrt{9} \) (which is 3).

Front

What is the value of \( \frac{12}{4} \)?

Back

The value of \( \frac{12}{4} \) is 3.

Front

Which is larger: \( \sqrt{9} \) or \( \frac{64}{4} \)?

Back

\( \frac{64}{4} \) is larger than \( \sqrt{9} \) (which is 3).

Front

What is the decimal representation of \( \frac{10}{3} \)?

Back

The decimal representation of \( \frac{10}{3} \) is approximately 3.33.