How do I answer this question/problem? I can't input the following scientific notations in a calculator and would like to know how to solve it. Thank you tutors.
The four other recognized dwarf planets in the solar system and their estimated masses in kilograms (kg) are:
Haumea: 4.006 x 10 to the power of 21 kg Ceres: 9.39 x 10 to the power of 20 kg
Eris: 1.67 x 10 to the power of 22 kg
Makemake: 3.0 x 10 to the power of 21 kg
Pluto's mass is 1.305 x 10 to the power of 22 kg. Order these five dwarf planets from most massive to least massive.
express all as the same power of 10. Then it will be easy to sort them.
To order the five dwarf planets from most massive to least massive, you need to compare their masses. Here's how you can solve it:
Step 1: Write down the masses of the five dwarf planets:
- Haumea: 4.006 × 10^21 kg
- Ceres: 9.39 × 10^20 kg
- Eris: 1.67 × 10^22 kg
- Makemake: 3.0 × 10^21 kg
- Pluto: 1.305 × 10^22 kg
Step 2: Compare the numbers before the powers of 10.
- The number before the power of 10 for Haumea is 4.006.
- The number before the power of 10 for Ceres is 9.39.
- The number before the power of 10 for Eris is 1.67.
- The number before the power of 10 for Makemake is 3.0.
- The number before the power of 10 for Pluto is 1.305.
Step 3: Arrange the planets in descending order based on the numbers before the power of 10.
- Starting with the largest number before the power of 10, the order is as follows:
Eris > Pluto > Haumea > Makemake > Ceres
Step 4: If two dwarf planets have the same number before the power of 10, compare the powers of 10.
- Both Eris and Pluto have the same number before the power of 10 (1.67 and 1.305, respectively).
- Compare the powers of 10: 10^22 (Eris) > 10^22 (Pluto) since 10^22 is larger than 10^22.
Step 5: Final order from most massive to least massive:
1. Eris
2. Pluto
3. Haumea
4. Makemake
5. Ceres
Remember to double-check the order and the calculations, but this should give you the correct order of the five dwarf planets from most massive to least massive.