Jonah was standing at an elevation somewhere between Negative 1 and one-half and Negative 2 and one-third meters with regards to sea level. Which number could be Jonah’s elevation with regards to sea level?

A number line going from negative 3 to positive 3 in increments of 1.
1 and StartFraction 5 Over 6 EndFraction meters
Negative 2 and StartFraction 3 Over 6 EndFraction meters
2 and StartFraction 3 Over 6 EndFraction meters
Negative 1 and StartFraction 5 Over 6 EndFraction meters

1 answer

To determine which of the given options could be Jonah's elevation, we first convert the boundaries of his elevation range from words to numerical form.

Jonah's elevation is stated to be between:

  • Negative 1 and one-half: which is -1.5
  • Negative 2 and one-third: which is approximately -2.33 (more precisely, -2.333...).

Now we can establish the range:

\[ -2.333... < \text{Jonah's elevation} < -1.5 \]

Next, we will assess each provided option to see if it falls within this range.

  1. 1 and StartFraction 5 Over 6 EndFraction meters: \[ 1 + \frac{5}{6} = 1 + 0.833... = 1.833... \quad (\text{not in the range}) \]

  2. Negative 2 and StartFraction 3 Over 6 EndFraction meters: \[ -2 + \frac{3}{6} = -2 + 0.5 = -1.5 \quad (\text{not in the range, it is equal to } -1.5) \]

  3. 2 and StartFraction 3 Over 6 EndFraction meters: \[ 2 + \frac{3}{6} = 2 + 0.5 = 2.5 \quad (\text{not in the range}) \]

  4. Negative 1 and StartFraction 5 Over 6 EndFraction meters: \[ -1 + \frac{5}{6} = -1 + 0.833... = -0.166... \quad (\text{not in the range}) \]

We can summarize the results:

  • None of the first three numbers are in the range (-2.333... < elevation < -1.5).
  • The last number (-1.166...) is also not within that range.

Therefore, none of the numbers provided could be Jonah's elevation with regards to sea level.