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A data set includes the following numbers: 5 over 4, one and three fourths, 72%, and 3.48.

Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form. (2 points)

Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer. (2 points)

1 answer

To order the numbers from least to greatest, we will first convert them into a common format, such as decimal form.

  1. Convert each number:

    • \( \frac{5}{4} = 1.25 \)
    • One and three fourths = \( 1 + \frac{3}{4} = 1.75 \)
    • \( 72% = \frac{72}{100} = 0.72 \)
    • \( 3.48 \) is already in decimal form.

  2. List the numbers in decimal form:

    • \( 0.72 \)
    • \( 1.25 \)
    • \( 1.75 \)
    • \( 3.48 \)

  3. Order the numbers:

    • From least to greatest: \( 0.72, \frac{5}{4}, \text{one and three fourths}, 3.48 \)

Part A: The order of the numbers from least to greatest is: \( 72%, \frac{5}{4}, \text{one and three fourths}, 3.48 \)

Part B: Did you use estimation or rewrite the numbers in equivalent forms? Explain your answer.

In this case, I rewrote the numbers in equivalent forms by converting them all into decimal form. This allows for an accurate and straightforward comparison of the values. Estimation was not necessary since converting the fractions and percentage to decimals yields precise values that can be directly compared.