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, \(11/3 \approx 3.6667\).
  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:

  • \(√8 \approx 2.8284\)
  • \(Ï€ \approx 3.1416\)
  • \(3.245\)
  • \(11/3 \approx 3.6667\)
  • \(√16 = 4\)

Now, we can order them from least to greatest:

  1. \(√8\)
  2. \(Ï€\)
  3. \(3.245\)
  4. \(11/3\)
  5. \(√16\)

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

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