Q. Which inequality correctly orders the numbers −45,−221, and −0.1 ?Choose 1 answer:(A) −0.1>−45>−221(B) −221>−45>−0.1(C) −45>−221>−0.1(D) −0.1>−221>−45
Convert to decimals: Convert all numbers to decimals to make comparison easier. The number −45 is equivalent to −1.25, and −221 is equivalent to −2.5.
Compare decimal values: Compare the decimal values. We have −1.25, −2.5, and −0.1. Since we are dealing with negative numbers, the number with the smallest absolute value is the greatest. Therefore, −0.1 is greater than −1.25, and −1.25 is greater than −2.5.
Translate comparison: Translate the comparison back into the original fractions and mixed number. The inequality -0.1 > -\frac{5}{4} > -2\frac{1}{2} represents the comparison we made in Step 2.