For the following numbers, which statement is true?
P = ⁴⁄₃ Q = ³⁄₄ R = 0.066 S = 0.78 T = ¹⁄₄

Question

For the following numbers, which statement is true? P = ⁴⁄₃ Q = ³⁄₄ R = 0.066 S = 0.78 T = ¹⁄₄

Quizplus · Accepted Answer

The easiest way to solve these questions is to put the numbers in increasing order. This will allow you to easily compare which numbers are larger or smaller. One strategy is to convert fractions to decimals to compare. Remember, when putting them in order the placement of the numbers (1, 10, 0.1, 0.01) is crucial. For this set: First, convert the fractions to decimals: T= ¹⁄₄ = 0.25 Q= ³⁄₄ = 0.75 P =⁴⁄₃= 1.33 Then place them in order from least to greatest (like you would see on a number line): 0.066 0.25 0.75 0.78 1.33 R T Q S P 1.33 + 0.066 = 1.386 > 0.78 + 0.25 = 1.03 *Remember: the open end of the sign of inequality should face the value that is greater, you can remember this by thinking about an alligator eating the bigger one. Or, you can think about it in the opposite way: The "arrow" always points to the smaller number.

For the Following Numbers, Which Statement Is True