Can you answer these five 8th grade math questions correctly ... - Free Printable

Problem:

We are tasked with determining the product of \( 800.5 \times (2 \times 10^6) \) and selecting the correct answer from the given options.

#### Step 1: Break down the expression
The expression is:
\[
800.5 \times (2 \times 10^6)
\]

First, we can rewrite it by distributing the multiplication:
\[
800.5 \times 2 \times 10^6
\]

#### Step 2: Perform the multiplication of the numerical coefficients
Multiply \( 800.5 \) and \( 2 \):
\[
800.5 \times 2 = 1601
\]

So the expression now becomes:
\[
1601 \times 10^6
\]

#### Step 3: Express the result in scientific notation
To express \( 1601 \times 10^6 \) in scientific notation, we need to write \( 1601 \) as a number between 1 and 10 multiplied by a power of 10.

Rewrite \( 1601 \) as:
\[
1601 = 1.601 \times 10^3
\]

Thus, the expression becomes:
\[
(1.601 \times 10^3) \times 10^6
\]

#### Step 4: Combine the powers of 10
When multiplying powers of 10, we add the exponents:
\[
1.601 \times 10^{3+6} = 1.601 \times 10^9
\]

#### Step 5: Match the result with the given options
The result is \( 1.601 \times 10^9 \). Comparing this with the provided options:
- A: \( 1.7 \times 10^7 \)
- B: \( 1.601 \times 10^7 \)
- C: \( 1.7 \times 10^9 \)
- D: \( 1.601 \times 10^9 \)

The correct answer is:
\[
\boxed{D}
\]