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Order the following set of rational numbers from least to greatest, and explain how you determined the order.

-3,0,-(1)/(2),1,-3(1)/(3),6,5,-1,(21)/(5),4

Order the following set of rational numbers from least to greatest, and explain how you determined the order. 3,0,12,1,3(13),6,5,1,215,4-3,0,-\frac{1}{2},1,-3\left(\frac{1}{3}\right),6,5,-1,\frac{21}{5},4

Full solution

Q. Order the following set of rational numbers from least to greatest, and explain how you determined the order. 3,0,12,1,3(13),6,5,1,215,4-3,0,-\frac{1}{2},1,-3\left(\frac{1}{3}\right),6,5,-1,\frac{21}{5},4
  1. Convert numbers to decimals: Identify and convert all numbers to a common format, decimals, for easy comparison.\newline3-3 (already a decimal),\newline00 (already a decimal),\newline12-\frac{1}{2} = 0.5-0.5,\newline11 (already a decimal),\newline313-3\frac{1}{3} = 103-\frac{10}{3} 3.33\approx -3.33,\newline66 (already a decimal),\newline55 (already a decimal),\newline0000 (already a decimal),\newline0011 = 0022,\newline0033 (already a decimal).
  2. Arrange in ascending order: Arrange the numbers in ascending order based on their decimal values:\newline3.33-3.33, 3-3, 1-1, 0.5-0.5, 00, 11, 44, 4.24.2, 55, 66.
  3. Check for errors: Check for any calculation errors or misplacements in the ordered list. All numbers appear correctly ordered from least to greatest.

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