(6 points) Classify each number as rational or irrational using the drop-down menu next to each number. Number Classification −15 3.67 25−−√ 2π 4.8¯¯¯ 12−−√

Answer 1

To classify each number as rational or irrational, let's review each number:

1. −15: This is a whole number (integer) and can be expressed as a fraction \(-15/1\). Thus, it is rational.

2. 3.67: This is a terminating decimal and can also be represented as a fraction (\(367/100\)). Therefore, it is rational.

3. √25: The square root of 25 is 5, which is a whole number and can be expressed as a fraction \(5/1\). Thus, it is rational.

4. 2π: \(π\) is known to be an irrational number, and multiplying it by 2 (a rational number) results in \(2π\) still being irrational. Therefore, \(2π\) is irrational.

5. 4.8¯¯¯: This notation indicates a repeating decimal (4.888...), which can be expressed as a fraction. Therefore, it is rational.

6. √12: The square root of 12 simplifies to \(2\sqrt{3}\). Since \(√3\) is an irrational number, \(2\sqrt{3}\) is also irrational. Hence, \(√12\) is irrational.

Here is the summary:

• −15: Rational
• 3.67: Rational
• √25: Rational
• 2π: Irrational
• 4.8¯¯¯: Rational
• √12: Irrational