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The GDP of Brazil in 2008 was roughly 1.6 trillion. How do you write this in scientific notation?

A. [tex]\(1.6 \times 10^{12}\)[/tex]
B. [tex]\(1.6 \times 10^9\)[/tex]
C. [tex]\(1.6 \times 10^{10}\)[/tex]
D. [tex]\(1.6 \times 10^{13}\)[/tex]


Sagot :

To write the GDP of Brazil in 2008, which was roughly 1.6 trillion, in scientific notation, we can follow these steps:

1. Understand the base number and the multiplier term:
- The base number here is 1.6.
- The term "trillion" indicates the magnitude of the number.

2. Identify what "trillion" signifies:
- In the context of large numbers, "trillion" means [tex]$10^{12}$[/tex].

3. Combine the base number with the multiplier:
- Therefore, 1.6 trillion can be represented mathematically as 1.6 multiplied by [tex]$10^{12}$[/tex].

4. Represent the number in scientific notation:
- The scientific notation form for this number is given by multiplying the base number by a power of 10. In this case, it becomes [tex]$1.6 \cdot 10^{12}$[/tex].

So, the correct option is:

[tex]\[ \boxed{1.6 \cdot 10^{12}} \][/tex]

Therefore, the correct choice from the given options is:

A. [tex]$1.6 \cdot 10^{12}$[/tex]