the diameter of mercury is about 3.0x10^3 miles. the diameter of jupiter, the largest planet is about 8.8 x 10^4. What is the difference bewteen the diameters of these planets expressed in scientific notation?

To find the difference between the diameters of Mercury and Jupiter, expressed in scientific notation, we can follow these steps:

### Step 1: Write the diameters in scientific notation.
- **Diameter of Mercury** = \( 3.0 \times 10^3 \) miles
- **Diameter of Jupiter** = \( 8.8 \times 10^4 \) miles

### Step 2: Subtract the diameters.
Since the powers of 10 are different, we need to express both numbers with the same exponent. Let's express both numbers with a common exponent of \( 10^4 \).

- **Diameter of Mercury** = \( 0.30 \times 10^4 \) miles (converted from \( 3.0 \times 10^3 \) to match \( 10^4 \))
- **Diameter of Jupiter** = \( 8.8 \times 10^4 \) miles

Now, subtract the diameters:
\[
(8.8 \times 10^4) - (0.30 \times 10^4) = (8.8 - 0.30) \times 10^4 = 8.5 \times 10^4
\]

### Final Answer:
The difference between the diameters of Jupiter and Mercury is \( 8.5 \times 10^4 \) miles.

Would you like further details on scientific notation or any other clarification?

Here are some related questions:
1. How is scientific notation useful in astronomy?
2. What is the approximate ratio of Jupiter's diameter to Mercury's?
3. How do you convert between different powers of 10 in subtraction or addition?
4. Can you compare the diameters of other planets using the same method?
5. What is the significance of using powers of 10 when dealing with large numbers?

**Tip:** When subtracting or adding in scientific notation, it's helpful to express both numbers with the same power of 10 first.

the diameter of mercury is about 3.0x10^3 miles. the diameter of jupiter, the largest planet is about 8.8 x 10^4. What is the difference between the diameters of these planets expressed in scientific notation?

Explore how to find the difference between the diameters of Mercury and Jupiter expressed in scientific notation. This problem covers concepts like scientific notation and subtraction of powers of 10, providing a detailed step-by-step solution. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation