https://file.aiquickdraw.com/mathbot/file/17261344550163miobu28.jpg

To express \( 45,000,000 \) meters in scientific notation, follow these steps:

### 1. Meters in Scientific Notation:
We need to write \( 45,000,000 \) in the form of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

- The decimal point is currently at the end of the number \( 45,000,000.0 \).
- Move the decimal point 7 places to the left to get \( 4.5 \).

Thus, \( 45,000,000 \) in scientific notation is:
\[
4.5 \times 10^7 \text{ meters}.
\]

### 2. Converting to Millimeters:
Since there are 1,000 millimeters in a meter, we multiply the number in meters by \( 10^3 \).

- \( 4.5 \times 10^7 \text{ meters} \times 10^3 \text{ millimeters/meter} = 4.5 \times 10^{10} \text{ millimeters} \).

So the final result in millimeters is:
\[
4.5 \times 10^{10} \text{ millimeters}.
\]

Would you like further details or have any questions?

Here are some related questions to practice:
1. How do you express \( 6,000,000 \) in scientific notation?
2. How many millimeters are in \( 3 \times 10^4 \) meters?
3. Convert \( 1.2 \times 10^8 \) millimeters to meters.
4. What is the relationship between meters and millimeters?
5. How do you determine the exponent when converting to scientific notation?

**Tip:** When converting between units (e.g., meters to millimeters), remember to adjust the power of 10 accordingly based on the unit difference (e.g., 1 meter = \( 10^3 \) millimeters).

Express the distance 45,000,000 meters using scientific notation in meters and then in millimeters.

Learn how to express 45,000,000 meters in scientific notation and convert it into millimeters. This problem involves using scientific notation (a × 10^n) and understanding unit conversions (1 meter = 1000 millimeters). 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