Math Problem Statement

Put these numbers in order from greatest to least: -\frac{8}{25}, -\frac{23}{25}, \frac{38}{40}, 14.84, 14

Solution

The problem asks to arrange the following numbers in order from greatest to least:

  • 825-\frac{8}{25}
  • 2325-\frac{23}{25}
  • 3840\frac{38}{40}
  • 14.8414.84
  • 1414

Let's first convert the fractions to decimals:

  1. 825=0.32-\frac{8}{25} = -0.32
  2. 2325=0.92-\frac{23}{25} = -0.92
  3. 3840=0.95\frac{38}{40} = 0.95

Now, the list of numbers in decimal form is:

  • 0.32-0.32
  • 0.92-0.92
  • 0.950.95
  • 14.8414.84
  • 1414

Arranging them in order from greatest to least:

  • 14.8414.84
  • 1414
  • 0.950.95
  • 0.32-0.32
  • 0.92-0.92

Thus, the numbers arranged from greatest to least are:

  • 14.8414.84
  • 1414
  • 3840\frac{38}{40}
  • 825-\frac{8}{25}
  • 2325-\frac{23}{25}

Would you like more details or have any further questions?

Here are 5 related questions you can explore:

  1. How do you convert fractions to decimals manually?
  2. What is the difference between proper and improper fractions?
  3. How do you compare decimals with negative values?
  4. What is the significance of decimal places in comparing numbers?
  5. How do you rank mixed numbers compared to whole numbers?

Tip: When converting fractions to decimals, dividing the numerator by the denominator is an easy way to compare them.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Ordering Numbers
Comparing Values

Formulas

Decimal conversion: numerator ÷ denominator

Theorems

Comparison of fractions and decimals

Suitable Grade Level

Grades 6-8