Q. Which inequality correctly orders the numbers −39,−93, and −1 ?Choose 1 answer:(A) −1>−39>−93(B) −39>−1>−93(C) −1>−93>−39(D) −93>−1>−39
Simplify fractions: Simplify each of the given fractions to understand their values.The fraction−39 simplifies to −3 because 9 divided by 3 is 3, and the negative sign makes it −3.The fraction −93 simplifies to −31 because 3 divided by 9 is −30, and the negative sign makes it −31.
Compare simplified values: Compare the simplified values with −1. We know that −3 is less than −1 because the more negative a number, the smaller it is. We also know that −31 is greater than −3 because −31 is closer to zero than −3 is. Finally, we know that −31 is less than −1 because −31 is a fraction of −1 and therefore not as negative.
Order numbers from greatest to least: Order the numbers from greatest to least based on the comparisons.From the comparisons, we can see that −31 is the greatest, followed by −1, and then −3 is the least.So the correct order is: -\frac{3}{9} > -1 > -\frac{9}{3}
Match correct order to given choices: Match the correct order to the given choices.The correct order we found is represented by option (D): -\frac{3}{9} > -1 > -\frac{9}{3}