Math Problem Statement

Put these numbers in order from least to greatest. 6.7, 8 4/5, 7 1/4

Solution

To order the numbers from least to greatest, we first need to convert them into comparable forms, such as decimals:

  • 6.76.7 is already a decimal.
  • 845=8+45=8+0.8=8.88 \frac{4}{5} = 8 + \frac{4}{5} = 8 + 0.8 = 8.8
  • 714=7+14=7+0.25=7.257 \frac{1}{4} = 7 + \frac{1}{4} = 7 + 0.25 = 7.25

Now, we compare the decimals:

  • 6.76.7
  • 7.257.25
  • 8.88.8

Thus, the order from least to greatest is:

6.7,7.25,8.86.7, 7.25, 8.8

Would you like any details on this, or have further questions?


Here are 5 related questions:

  1. How do you convert mixed numbers to improper fractions?
  2. What is the decimal representation of 3233 \frac{2}{3}?
  3. How do you compare fractions without converting to decimals?
  4. What is the smallest decimal between 0.75 and 0.85?
  5. How do you convert a repeating decimal to a fraction?

Tip: When comparing numbers, converting them to the same form (either decimals or fractions) makes it easier to order them accurately!

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Math Problem Analysis

Mathematical Concepts

Decimals
Mixed Numbers
Comparing Numbers

Formulas

Mixed Number Conversion: a b/c = a + (b/c)
Decimal Conversion

Theorems

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Suitable Grade Level

Grades 5-6