Multiply  (6.5×101) • (7×10²)
and write answer in scientific notation.

Let's multiply the two numbers and express the result in scientific notation.

Given expression:  
\[
(6.5 \times 10^1) \times (7 \times 10^2)
\]

First, multiply the coefficients:
\[
6.5 \times 7 = 45.5
\]

Next, multiply the powers of 10:
\[
10^1 \times 10^2 = 10^{1+2} = 10^3
\]

So, the product is:
\[
45.5 \times 10^3
\]

To express this in proper scientific notation, we need to write it as:
\[
4.55 \times 10^4
\]

Thus, the answer is:
\[
\boxed{4.55 \times 10^4}
\]

Would you like any further details or explanations?

Here are five related questions:
1. What is the general rule for multiplying numbers in scientific notation?
2. How do you convert a number like 45.5 into scientific notation?
3. What is the result of \((3 \times 10^2) \times (4 \times 10^3)\)?
4. How does scientific notation simplify calculations with very large or very small numbers?
5. What are the rules for adding and subtracting numbers in scientific notation?

**Tip:** When multiplying or dividing in scientific notation, always handle the coefficients and powers of ten separately for simplicity.

Learn how to multiply numbers expressed in scientific notation: (6.5×10¹) • (7×10²). Understand the step-by-step process to multiply coefficients and add exponents to simplify the result in scientific notation. Suitable for Grades 9-12.

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