To solve the expression \( (3.6 \times 10^9) \times (2.0 \times 10^{-2}) \):

1. Multiply the coefficients \( 3.6 \) and \( 2.0 \).
2. Add the exponents \( 9 \) and \( -2 \) of the powers of 10.

\[
(3.6 \times 2.0) \times 10^{9 + (-2)} = 7.2 \times 10^7
\]

The answer is \( 7.2 \times 10^7 \), or \( 72,000,000 \).

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. What is the process for adding and subtracting exponents in scientific notation?
2. How do you express large numbers in scientific notation?
3. What are the benefits of using scientific notation in calculations?
4. How can scientific notation simplify multiplication and division?
5. What are some real-world applications of scientific notation in science and engineering?

**Tip:** Always check that your final answer is in proper scientific notation, where the coefficient is between 1 and 10.

Learn how to multiply and simplify the expression (3.6 × 10^9) × (2.0 × 10^-2) using scientific notation. This problem involves multiplying coefficients and adding exponents of powers of 10. Suitable for high school students studying 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