Question

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located? A number line going from negative 3 to positive 3 in increments of 1.

Answer 1

Options :

Negative 2 and one-third meters

Negative three-fourths meters

Negative one-fourth meters

Negative 1 and

StartFraction 5 Over 6 EndFraction meters

Answer: Negative three-fourths meters

Step-by-step explanation:

Given the following :

Depth Location of Emerald :

Between - 1/2 and - 1 2/3

The answer will be the option which lies between the two depth points.

-1/2 = - 0.5 ( upper bound)

-1 2/3 = - 1.667 ( lower bound)

The option which lies inbetween :

- 1.667 and - 0.5

Taking each option :

Negative 2 and one-third meters = - 2 1/3 = - 2.33

Negative three-fourths meters = - 3/4 = - 0.75

Negative one-fourth meters = - 1/4 = - 0.25

Negative 1 and StartFraction 5 Over 6 EndFraction meters = - 1 5/6 = - 1.833

Hence, the only depth position which lies inbetween (-1.667 and - 0.5) is - 0.75

Answer 2

Answer:

Negative 2 and one-third meters

Negative three-fourths meters

Negative one-fourth meters

Negative 1 and

StartFraction 5 Over 6 EndFraction meters

Answer: Negative three-fourths meters

Step-by-step explanation:

Given the following :

Depth Location of Emerald :

Between - 1/2 and - 1 2/3

The answer will be the option which lies between the two depth points.

-1/2 = - 0.5 ( upper bound)

-1 2/3 = - 1.667 ( lower bound)

The option which lies inbetween :

- 1.667 and - 0.5

Taking each option :

Negative 2 and one-third meters = - 2 1/3 = - 2.33

Negative three-fourths meters = - 3/4 = - 0.75

Negative one-fourth meters = - 1/4 = - 0.25

Negative 1 and StartFraction 5 Over 6 EndFraction meters = - 1 5/6 = - 1.833

Hence, the only depth position which lies in between (-1.667 and - 0.5) is - 0.75