Drag and drop each to the correct location.(2 points)

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Rational Numbers Irrational Numbers

0
pi
6.239654
3/5
2.15

1 answer

To categorize the numbers into "Rational Numbers" and "Irrational Numbers," we need to define each category:

  • Rational Numbers: Numbers that can be expressed as a fraction of two integers (where the denominator is not zero).
  • Irrational Numbers: Numbers that cannot be expressed as a simple fraction; their decimal representation is non-repeating and non-terminating.

Now, let's categorize the provided numbers:

Rational Numbers:

  • 0 (can be expressed as 0/1)
  • 3/5 (fraction)
  • 2.15 (can be expressed as 215/100 or 43/20)
  • 6.239654 (can be expressed as 6239654/1000000)

Irrational Numbers:

  • pi (approximately 3.14159..., non-repeating and non-terminating)

So, the correct placements would be:

Rational Numbers:

  • 0
  • 3/5
  • 2.15
  • 6.239654

Irrational Numbers:

  • pi