Question

Put these numbers in order using brackets and set notation:

{8/16, 7/16, 0.44, 0.54}
a. [0.44, 7/16, 8/16, 0.54]
b. [0.54, 0.44, 8/16, 7/16]
c. [7/16, 8/16, 0.44, 0.54]
d. [0.44, 0.54, 7/16, 8/16]

Answer 1

After converting the fractions 8/16 and 7/16 to decimals, the numbers in ascending order are 0.44, 0.4375, 0.5, and 0.54, therefore the correct option is [0.44, 7/16, 8/16, 0.54]. which corresponds to option a.

Step-by-step explanation:

To put the numbers {8/16, 7/16, 0.44, 0.54} in order using brackets and set notation, we need to convert the fractions to decimal form and compare them to the decimal numbers.

Firstly, we convert the fractions to decimals:
8/16 = 0.5,
7/16 = 0.4375.

Now, let's arrange all numbers in ascending order:
0.44, 0.4375 (7/16), 0.5 (8/16), 0.54.

Therefore, the correct order using brackets and set notation is:
[0.44, 7/16, 8/16, 0.54], which corresponds to option a.