Answer:
(b) Least to greatest numbers are -1.0, [tex]-\frac{1}{4}[/tex] , 0, 0.5, 1.5
(c) -1.0 < [tex]-\frac{1}{4}[/tex] < 0 < 0.5 < 1.5
OR
1.5 > 0.5 > 0 > [tex]-\frac{1}{4}[/tex] > -1.0
Step-by-step explanation:
P.S - The exact question is -
Given - Kendra collected data for her science project. She surveyed
people asking them how many hours they sleep during a
typical night.
The chart below shows how each person’s response compares
to 8 hours (which is the answer she expected most people to say).
Name Number of Hours Compared to Hours
(usually slept each night)
Frankie 8.5 0.5
Mr. Fields 7 −1.0
Karla 9.5 1.5
Louis 8 0
Tiffany [tex]7\frac{3}{4}[/tex] [tex]-\frac{1}{4}[/tex]
To find - (a) Plot and label each of the numbers in the right-most column
of the table above on the number line below.
(b) List the numbers from least to greatest.
(c) Using your answer from part (b) and inequality symbols,
write one statement that shows the relationship among all
of the numbers.
Proof -
(a)
We can see that the numbers in the right-most column are 0.5, -1.0, 1.5, 0, [tex]-\frac{1}{4}[/tex]
We can write [tex]-\frac{1}{4}[/tex] = -0.25
Now,
We have to label them in the number line
The number line is as follows :
(b)
Least to greatest numbers are -1.0, [tex]-\frac{1}{4}[/tex] , 0, 0.5, 1.5
(c)
By using inequality symbol, we get
-1.0 < [tex]-\frac{1}{4}[/tex] < 0 < 0.5 < 1.5
OR
1.5 > 0.5 > 0 > [tex]-\frac{1}{4}[/tex] > -1.0
