Math Problem Statement

Order these numbers from least to greatest: 3.685, 3 1/10, 78/25, 3.68.

Solution

To solve the question of ordering these numbers from least to greatest, let's evaluate each value:

Given Numbers:

  1. 3.6853.685 (decimal)
  2. 31103 \dfrac{1}{10} → Convert to decimal:
    3+0.1=3.13 + 0.1 = 3.1
  3. 7825\dfrac{78}{25} → Convert to decimal:
    78÷25=3.1278 \div 25 = 3.12
  4. 3.683.68 (decimal)

Step-by-Step Conversion:

  1. 3.6853.685 remains 3.685.
  2. 3110=3.13 \dfrac{1}{10} = 3.1.
  3. 7825=3.12\dfrac{78}{25} = 3.12.
  4. 3.683.68 remains 3.68.

Order the Numbers:

From least to greatest:

  1. 3.13.1
  2. 3.123.12
  3. 3.683.68
  4. 3.6853.685

Final Answer:

The correct order is:
3110,7825,3.68,3.6853 \dfrac{1}{10}, \dfrac{78}{25}, 3.68, 3.685.

Let me know if you'd like further explanation or clarification!


Related Questions:

  1. How do you convert mixed numbers to decimals?
  2. How can you compare decimals accurately?
  3. What steps are involved in converting fractions to decimals?
  4. How can you order decimals and fractions together?
  5. How is rounding helpful when comparing close numbers?

Tip: Always convert fractions and mixed numbers to decimals for easy comparison.

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Math Problem Analysis

Mathematical Concepts

Decimals
Fractions
Mixed Numbers
Ordering Numbers

Formulas

Conversion of mixed numbers to decimals
Conversion of fractions to decimals

Theorems

Comparison of decimals and fractions

Suitable Grade Level

Grades 6-8