Math Problem Statement
Which set of numbers is ordered from least to greatest? A. 27%, 2.75, V2, 2% B. 27%, N2,2.75,26 C. V2, 27, 2.75, 27% D. 27, 2.75, VZ, 27%
Solution
Let's break down each option and convert the numbers into the same format to determine the correct order from least to greatest.
Option A: 27%, 2.75, √2, 2%
- 27% = 0.27
- 2.75 remains as is.
- √2 ≈ 1.414
- 2% = 0.02
Order: 0.02, 0.27, 1.414, 2.75 → Least to Greatest: 2%, 27%, √2, 2.75
Option B: 27%, √2, 2.75, 26
- 27% = 0.27
- √2 ≈ 1.414
- 2.75 remains as is.
- 26 remains as is.
Order: 0.27, 1.414, 2.75, 26 → Least to Greatest: 27%, √2, 2.75, 26
Option C: √2, 27, 2.75, 27%
- √2 ≈ 1.414
- 27 remains as is.
- 2.75 remains as is.
- 27% = 0.27
Order: 0.27, 1.414, 2.75, 27 → Least to Greatest: 27%, √2, 2.75, 27
Option D: 27, 2.75, √2, 27%
- 27 remains as is.
- 2.75 remains as is.
- √2 ≈ 1.414
- 27% = 0.27
Order: 0.27, 1.414, 2.75, 27 → Least to Greatest: 27%, √2, 2.75, 27
Conclusion:
The correct order from least to greatest is found in Option C: √2, 27, 2.75, 27%.
Would you like a detailed explanation or have any other questions about this?
Related Questions:
- How do you convert percentages to decimals?
- How do you approximate square roots like √2?
- Why do we need to convert all numbers to the same format when comparing them?
- Can you order numbers with mixed formats (percentages, decimals, and whole numbers) without converting them?
- How do you check the accuracy of an approximation for a square root?
Tip: When comparing numbers of different formats, it's easiest to convert them all to decimals first.
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Math Problem Analysis
Mathematical Concepts
Percentages
Square Roots
Number Comparison
Decimals
Formulas
Percentage to Decimal Conversion: x% = x/100
Square Root Approximation: √x ≈ y
Theorems
Ordering numbers from least to greatest requires converting all numbers to the same format
Suitable Grade Level
Grades 6-8
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