Answer :
To write the GDP of Brazil in 2008, which was roughly 1.6 trillion, in scientific notation, we need to convert the given value into the appropriate form.
1. Understanding the value:
- The term "trillion" refers to [tex]$10^{12}$[/tex].
- Thus, 1.6 trillion can be written as [tex]$1.6 \cdot 10^{12}$[/tex].
2. Scientific Notation:
- Scientific notation is a way of expressing numbers that are too large or too small in a format that makes them easier to work with.
- A number in scientific notation is written as the product of a coefficient (a number between 1 and 10) and a power of ten.
3. Conversion Steps:
- We start with the number 1.6 trillion.
- The numeral 1.6 remains the same.
- Then, we multiply this by [tex]$10^{12}$[/tex] because "trillion" signifies [tex]$10^{12}$[/tex].
Thus, the GDP of Brazil in 2008 written in scientific notation is:
[tex]\[ 1.6 \cdot 10^{12} \][/tex]
Looking at the given options, the correct scientific notation is:
A. [tex]$1.6 \cdot 10^{12}$[/tex]
So, the correct answer is option A.
1. Understanding the value:
- The term "trillion" refers to [tex]$10^{12}$[/tex].
- Thus, 1.6 trillion can be written as [tex]$1.6 \cdot 10^{12}$[/tex].
2. Scientific Notation:
- Scientific notation is a way of expressing numbers that are too large or too small in a format that makes them easier to work with.
- A number in scientific notation is written as the product of a coefficient (a number between 1 and 10) and a power of ten.
3. Conversion Steps:
- We start with the number 1.6 trillion.
- The numeral 1.6 remains the same.
- Then, we multiply this by [tex]$10^{12}$[/tex] because "trillion" signifies [tex]$10^{12}$[/tex].
Thus, the GDP of Brazil in 2008 written in scientific notation is:
[tex]\[ 1.6 \cdot 10^{12} \][/tex]
Looking at the given options, the correct scientific notation is:
A. [tex]$1.6 \cdot 10^{12}$[/tex]
So, the correct answer is option A.
