Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7. on your own: a blue whale has a length of 28,578 millimeters. what i…

Question

  1. on your own: a blue whale has a length of 28,578 millimeters. what is the length of a blue whale in kilometers? show your work below by writing the conversion factors you use to solve this question.

28,578 mm • 1km /1000 m • dropdown = box

Explanation:

Step1: Identify the conversion factor

To convert millimeters to meters, we know that $1\mathrm{m} = 1000\mathrm{mm}$, so the conversion factor is $\frac{1\mathrm{m}}{1000\mathrm{mm}}$.

Step2: Perform the unit conversion

We start with the length in millimeters: $28578\mathrm{mm}$.
First, convert millimeters to meters: $28578\mathrm{mm} \times \frac{1\mathrm{m}}{1000\mathrm{mm}} = 28.578\mathrm{m}$.
Then, convert meters to kilometers using the given conversion factor $\frac{1\mathrm{km}}{1000\mathrm{m}}$: $28.578\mathrm{m} \times \frac{1\mathrm{km}}{1000\mathrm{m}} = 0.028578\mathrm{km}$.
Putting it all together in the given format: $28578\mathrm{mm} \times \frac{1\mathrm{km}}{1000\mathrm{m}} \times \frac{1\mathrm{m}}{1000\mathrm{mm}} = 0.028578\mathrm{km}$.

Answer:

The missing conversion factor is $\frac{1\mathrm{m}}{1000\mathrm{mm}}$ and the final length is $0.028578$ kilometers.