order rational and irrational numbers from least to greatest. 11/3, pi, 3.245, square root 16, square root 8.

1 answer

To order the given numbers from least to greatest, we first need to convert them to decimal form where necessary and identify each category.

  1. 11/3: When converted to decimal, 11/3≈3.6667.
  2. π (pi): Approximately 3.1416.
  3. 3.245: This is already in decimal form.
  4. √16: This equals 4, which is a rational number.
  5. √8: This is approximately 2.8284.

Now, let's list the numbers with their approximate decimal values:

  • √8≈2.8284
  • π≈3.1416
  • 3.245
  • 11/3≈3.6667
  • √16=4

Now, we can order them from least to greatest:

  1. √8
  2. π
  3. 3.245
  4. 11/3
  5. √16

Final ordered list: √8,π,3.245,11/3,√16.