Q. Which inequality correctly orders the numbers 0.8,−2.7, and −2 ?Choose 1 answer:(A) −2.7>−2>0.8(B) 0.8>−2.7>−2(C) 0.8>−2>−2.7(D) −2>−2.7>0.8
Compare positive and negative numbers: Compare the numbers to determine their order from greatest to least. Start by comparing the positive number with the negative numbers. Since any positive number is greater than any negative number, 0.8 is greater than both −2.7 and −2.
Compare negative numbers: Now compare the two negative numbers, −2.7 and −2. Since a number with a smaller absolute value is greater when dealing with negative numbers, −2 is greater than −2.7.
Combine results and write inequality: Combine the results from Step 1 and Step 2 to write the inequality in the correct order. The correct order from greatest to least is 0.8, −2, −2.7.
Translate order into inequality: Translate the order into an inequality. The inequality that represents the order from greatest to least is 0.8 > -2 > -2.7.