Q. Order the following numbers from least to greatest.−314∣−5.1∣−4
Convert to Decimal Form: First, let's convert all numbers to decimal form to make it easier to compare them.The number −314 is a fraction, so we need to divide 14 by 3 to convert it to a decimal.14 divided by 3 is 4 with a remainder of 2, so −314 is −4.666...
Compare Decimal Numbers: Now we have the numbers in decimal form: −4.666…, −5.1, and −4. We can compare these numbers directly. The greater the negative number, the smaller its value.
ext{-}4.666 ext{...} vs ext{-}5.1: Comparing ext{-}4.666 ext{...} and ext{-}5.1, we see that ext{-}4.666 ext{...} is greater than ext{-}5.1 because ext{-}4.666 ext{...} is closer to zero.
ext{−4.666... vs −4}: Comparing −4.666... and −4, we see that −4 is greater than −4.666... because −4 is closer to zero.
ext{−5.1 vs −4}: Comparing −5.1 and −4, we see that −4 is greater than −5.1 because −4 is closer to zero.
Order Numbers from Least to Greatest: Now we can order the numbers from least to greatest based on the comparisons:−5.1 is the smallest, followed by −4.666…, and then −4 is the greatest.
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