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:
- 4.6 - This is a decimal and equals 4.6.
- 2.8̅ (2.888...) - This is a repeating decimal and is approximately 2.888...
- π (Pi) - This is approximately 3.14159.
- √7 - The square root of 7 is approximately 2.6458.
- √17 - The square root of 17 is approximately 4.1231.
Now, ordering these values from least to greatest:
- √7 (≈ 2.6458)
- 2.8̅ (≈ 2.888)
- π (≈ 3.14159)
- √17 (≈ 4.1231)
- 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:
- What are the steps to calculate square roots without a calculator?
- How does the value of π relate to other common constants?
- What is the significance of repeating decimals like 2.8̅?
- How can you approximate values of irrational numbers?
- 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