Final answer:
The statement -2.2 > -2.42 is true because on the number line, -2.2 is to the right of -2.42, indicating that it is a larger (or less negative) number.
Step-by-step explanation:
The correct answer is option A. True. When ordering rational numbers, we need to consider the value of each number. In this case, we are comparing -2.2 and -2.42.
It's important to recognize that on the number line, numbers to the right are greater than numbers to the left, which means that numbers with a larger negative value are actually smaller. For instance, -2.2 is to the right of -2.42 on the number line, making it larger. Thus, the statement -2.2 > -2.42 is true. If you are visualizing these numbers, you could think of it as owing less money; owing $2.20 is better than owing $2.42, therefore it's considered to be a larger amount in terms of negative numbers.
To order the rational numbers -2.2 and -2.42:
Compare the whole number part of the two numbers. Since -2.2 and -2.42 both have a whole number part of -2, move on to the decimal parts.
Compare the decimal parts. -2.2 is greater than -2.42 because it is closer to 0 on the number line.
Therefore, -2.2 is greater than -2.42.