Question

Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers.

Answer 1

(b) Least to greatest numbers are -1.0,
`-(1)/(4)` , 0, 0.5, 1.5

(c) -1.0 <
`-(1)/(4)` < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >
`-(1)/(4)` > -1.0

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
`7(3)/(4)`
`-(1)/(4)`

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,
`-(1)/(4)`

We can write
`-(1)/(4)` = -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,
`-(1)/(4)` , 0, 0.5, 1.5

(c)

By using inequality symbol, we get

-1.0 <
`-(1)/(4)` < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >
`-(1)/(4)` > -1.0