The GDP of Germany in 2008 was roughly 3.65 trillion. How do you write this in scientific notation?

A. [tex]$3.65 \cdot 10^{10}$[/tex]
B. [tex]$3.65 \cdot 10^8$[/tex]
C. [tex]$3.65 \cdot 10^9$[/tex]
D. [tex]$3.65 \cdot 10^{12}$[/tex]



Answer :

To express the GDP of Germany in 2008, which was roughly 3.65 trillion, using scientific notation, we follow these steps:

1. Understand the value in numerical terms:
- "Trillion" refers to a million million, or [tex]\(10^{12}\)[/tex].
- Therefore, 3.65 trillion is expressed as [tex]\( 3.65 \times 10^{12} \)[/tex].

2. Identify the given options:
- A: [tex]\(3.65 \times 10^{10}\)[/tex]
- B: [tex]\(3.65 \times 10^8\)[/tex]
- C: [tex]\(3.65 \times 10^9\)[/tex]
- D: [tex]\(3.65 \times 10^{12}\)[/tex]

3. Match the value with the correct option:
- The value [tex]\(3.65 \times 10^{12}\)[/tex] exactly matches option D.

Thus, the GDP of Germany in 2008, written in scientific notation, is [tex]\(3.65 \times 10^{12}\)[/tex]. Therefore, the correct answer is:

D. [tex]\(3.65 \times 10^{12}\)[/tex]