Question

List of rational numbers is given: Two and five eighths, negative nine sixths, thirteen percent, negative 3.2 A: Rewrite all the values into an equivalent form as fractions. B: Rewrite all the values into an equivalent form as decimal numbers. C: List the given rational numbers from greatest to least. D: How did you determine their order?

Answer 1

To convert the values into equivalent fractions, rewrite them using the given instructions. For decimals, convert the fractions into decimal form by dividing the numerator by the denominator. To determine the order, compare the decimal values of the rational numbers.

Step-by-step explanation:

A: To rewrite the values as fractions, we need to convert each value into a fraction form.

Two and five eighths = 2 5/8
Negative nine sixths = -9/6
Thirteen percent = 13/100
Negative 3.2 = -3 2/10

B: To rewrite the values as decimal numbers, we can convert each fraction into a decimal by dividing the numerator by the denominator.

Two and five eighths = 2.625
Negative nine sixths = -1.5
Thirteen percent = 0.13
Negative 3.2 = -3.2

C: To list the given rational numbers from greatest to least, we compare the decimal forms of the numbers.

-3.2 > -1.5 > 0.13 > 2.625

D: The order of the rational numbers is determined based on their decimal values. We can compare each decimal number to determine which one is greater or less than the others.