Classify each number as Rational or Irrational.(4 points)

Question

Rational Irrational
3π

35−−√

58

6.2¯¯¯

Answer 1

Let's classify each number:

1. 3π:

   • This is an irrational number because π is an irrational number, and multiplying it by a rational number (3) remains irrational.
   • Classification: Irrational

2. √35:

   • The square root of 35 is irrational because 35 is not a perfect square (it cannot be expressed as a fraction of two integers).
   • Classification: Irrational

3. 58:

   • This is a rational number because it can be expressed as a fraction (58/1).
   • Classification: Rational

4. 6.2̅ (6.2 repeating):

   • This number is rational because it can be expressed as a fraction. The repeating decimal can be converted to a fraction.
   • Classification: Rational

Summary:

• Rational: 58, 6.2̅
• Irrational: 3π, √35