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Order the following values from least to greatest.

|94|quad|-8|quad-43quad71(1)/(3)

Order the following values from least to greatest.\newline948437113 |94| \quad|-8| \quad-43 \quad 71 \frac{1}{3}

Full solution

Q. Order the following values from least to greatest.\newline948437113 |94| \quad|-8| \quad-43 \quad 71 \frac{1}{3}
  1. Find Absolute Value: Determine the absolute value of 94|94|.\newlineThe absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, 94|94| is simply 9494.
  2. Evaluate Mixed Number: Determine the absolute value of 8|-8|.\newlineThe absolute value of 8-8 is 88, because it is 88 units away from zero on the number line.
  3. List Numbers: Evaluate the mixed number 711371\frac{1}{3}. A mixed number consists of an integer and a fraction. To convert it to an improper fraction, multiply the whole number by the denominator of the fraction, add the numerator, and place the result over the original denominator. However, for ordering purposes, we can leave it as a mixed number since we are not performing arithmetic with it. 711371\frac{1}{3} is simply 71+1371 + \frac{1}{3}, which is slightly greater than 7171.
  4. Order Numbers: List the numbers in their current form.\newlineWe have the following numbers: 9494, 88, 43-43, and 711371\frac{1}{3}.
  5. Order Numbers: List the numbers in their current form.\newlineWe have the following numbers: 9494, 88, 43-43, and 711371\frac{1}{3}.Order the numbers from least to greatest.\newlineThe negative number will be the smallest, so 43-43 is the least. The next smallest is the absolute value of 8-8, which is 88. Then comes 711371\frac{1}{3}, which is slightly more than 7171. The largest number is 9494.\newlineSo the order from least to greatest is: 43-43, 88, 711371\frac{1}{3}, 9494.

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