Question

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

Answer 1

Answer:

(b) Least to greatest numbers are -1.0, $-\frac{1}{4}$ , 0, 0.5, 1.5

(c) -1.0 <  $-\frac{1}{4}$  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  $-\frac{1}{4}$  > -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                            $7\frac{3}{4}$                                                       $-\frac{1}{4}$

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, $-\frac{1}{4}$

We can write $-\frac{1}{4}$ = -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, $-\frac{1}{4}$ , 0, 0.5, 1.5

(c)

By using inequality symbol, we get

-1.0 <  $-\frac{1}{4}$  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  $-\frac{1}{4}$  > -1.0