Math Problem Statement

Put these numbers in order from least to greatest: 2, 7/25, 12/16, 38/40, 0.48

Solution

Let's arrange the given numbers in order from least to greatest. The numbers are:

  • 22
  • 725\frac{7}{25}
  • 1216\frac{12}{16}
  • 3840\frac{38}{40}
  • 0.480.48

Step 1: Convert fractions and decimals to decimals for easier comparison.

  • 2=2.002 = 2.00
  • 725=0.28\frac{7}{25} = 0.28
  • 1216=0.75\frac{12}{16} = 0.75
  • 3840=0.95\frac{38}{40} = 0.95
  • 0.48=0.480.48 = 0.48

Step 2: Compare the decimal values.

Now, we have the following values in decimal form:

  • 0.280.28
  • 0.480.48
  • 0.750.75
  • 0.950.95
  • 2.002.00

Step 3: Arrange the decimals in ascending order.

From least to greatest, the order is:

  1. 725=0.28\frac{7}{25} = 0.28
  2. 0.480.48
  3. 1216=0.75\frac{12}{16} = 0.75
  4. 3840=0.95\frac{38}{40} = 0.95
  5. 22

Thus, the numbers in order from least to greatest are: 725, 0.48, 1216, 3840, 2\frac{7}{25},\ 0.48,\ \frac{12}{16},\ \frac{38}{40},\ 2

Let me know if you would like more details on any of these steps or further questions.


Here are 5 related questions you can explore:

  1. How do you convert fractions to decimals?
  2. What is the process to compare fractions without converting them to decimals?
  3. How can you simplify the fraction 1216\frac{12}{16}?
  4. What is the greatest common factor, and how is it used in simplifying fractions?
  5. How can you convert decimals back to fractions?

Tip: When comparing numbers with fractions and decimals, converting everything to the same format (like decimals) helps simplify the comparison.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Number Comparison

Formulas

Converting fractions to decimals: numerator / denominator

Theorems

Basic arithmetic principles

Suitable Grade Level

Grades 5-7