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Order the following numbers from least to greatest.

-(14)/(3)quad-5.1quad-4

Order the following numbers from least to greatest.\newline1435.14 -\frac{14}{3}|-5.1|-4

Full solution

Q. Order the following numbers from least to greatest.\newline1435.14 -\frac{14}{3}|-5.1|-4
  1. Convert to Decimal Form: First, let's convert all numbers to decimal form to make it easier to compare them.\newlineThe number 143-\frac{14}{3} is a fraction, so we need to divide 1414 by 33 to convert it to a decimal.\newline1414 divided by 33 is 44 with a remainder of 22, so 143-\frac{14}{3} is 4.666...-4.666...
  2. Compare Decimal Numbers: Now we have the numbers in decimal form: 4.666-4.666\ldots, 5.1-5.1, and 4-4. We can compare these numbers directly. The greater the negative number, the smaller its value.
  3. ext{-}44.666666 ext{...} vs ext{-}55.11: Comparing ext{-}44.666666 ext{...} and ext{-}55.11, we see that ext{-}44.666666 ext{...} is greater than ext{-}55.11 because ext{-}44.666666 ext{...} is closer to zero.
  4. ext{4-4.666666... vs 4-4}: Comparing 4.666...-4.666... and 4-4, we see that 4-4 is greater than 4.666...-4.666... because 4-4 is closer to zero.
  5. ext{5-5.11 vs 4-4}: Comparing 5.1-5.1 and 4-4, we see that 4-4 is greater than 5.1-5.1 because 4-4 is closer to zero.
  6. Order Numbers from Least to Greatest: Now we can order the numbers from least to greatest based on the comparisons:\newline5.1-5.1 is the smallest, followed by 4.666-4.666\ldots, and then 4-4 is the greatest.

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