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:

  1. How do you convert percentages to decimals?
  2. How do you approximate square roots like √2?
  3. Why do we need to convert all numbers to the same format when comparing them?
  4. Can you order numbers with mixed formats (percentages, decimals, and whole numbers) without converting them?
  5. 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