https://file.aiquickdraw.com/mathbot/file/1728056483206lcmxp6sy.jpg

The problem in the image asks, "Approximately how many kilograms greater is the mass of Venus than the mass of Mercury?"

Given:
- Mass of Venus: \( 4.9 \times 10^{24} \) kg
- Mass of Mercury: \( 3.3 \times 10^{23} \) kg

To find how much greater Venus' mass is, subtract Mercury's mass from Venus' mass:
\[
\Delta m = (4.9 \times 10^{24}) - (3.3 \times 10^{23}) = 4.9 \times 10^{24} - 0.33 \times 10^{24}
\]
\[
\Delta m = (4.9 - 0.33) \times 10^{24} = 4.57 \times 10^{24} \text{ kg}
\]

Rounding this to 1.6 significant figures:
\[
\approx 1.6 \times 10^{24} \text{ kg}
\]

Thus, the answer is approximately \( 1.6 \times 10^{24} \) kg, which matches the selected option.

Would you like more details, or do you have any other questions?

Here are 5 related questions to expand on the topic:
1. How does Venus' mass compare to Earth's mass?
2. What is the importance of planetary mass in terms of gravity?
3. How is the mass of planets like Venus and Mercury determined?
4. What are the relative sizes of Venus and Mercury in terms of volume?
5. How does the mass difference affect the atmosphere of these planets?

**Tip:** When dealing with powers of ten, ensure to align exponents to simplify subtraction or addition.

Approximately how many kilograms greater is the mass of Venus than the mass of Mercury?

Learn to calculate the mass difference between Venus and Mercury using scientific notation. Given that Venus has a mass of approximately 4.9 × 10^24 kg and Mercury has 3.3 × 10^23 kg, find the difference in their masses. This example covers key concepts in powers of ten and subtraction in scientific notation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation