Math Problem Statement

Drag the numbers to order them from least to greatest: 4.6, 2.8̅, π, √7, and √17.

Solution

To arrange the numbers from least to greatest, let's evaluate the approximate values of each expression:

  1. 4.6 - This is a decimal and equals 4.6.
  2. 2.8̅ (2.888...) - This is a repeating decimal and is approximately 2.888...
  3. π (Pi) - This is approximately 3.14159.
  4. √7 - The square root of 7 is approximately 2.6458.
  5. √17 - The square root of 17 is approximately 4.1231.

Now, ordering these values from least to greatest:

  1. √7 (≈ 2.6458)
  2. 2.8̅ (≈ 2.888)
  3. π (≈ 3.14159)
  4. √17 (≈ 4.1231)
  5. 4.6

So, the correct order from least to greatest is: √7, 2.8̅, π, √17, 4.6

Would you like further explanation or have any questions?

Related Questions:

  1. What are the steps to calculate square roots without a calculator?
  2. How does the value of π relate to other common constants?
  3. What is the significance of repeating decimals like 2.8̅?
  4. How can you approximate values of irrational numbers?
  5. How would this order change if we used larger or smaller numbers?

Tip: When comparing numbers with different forms, approximate irrational numbers to decimals for easier comparison.

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Math Problem Analysis

Mathematical Concepts

Ordering Numbers
Irrational Numbers
Decimal Approximations
Square Roots

Formulas

Square root calculation √x
Decimal approximation of π (pi)

Theorems

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Suitable Grade Level

Grades 6-8