Answer :
Certainly! Let's convert the amount collected by the foundation, which is 38.2 million dollars, into scientific notation.
1. Understanding the Number:
- 38.2 million is written numerically as 38,200,000.
2. Scientific Notation Basics:
- In scientific notation, a number is expressed as a product of a number (usually between 1 and 10) and a power of 10.
3. Converting to Scientific Notation:
- Place the decimal point after the first non-zero digit. For 38,200,000, this would be 3.82.
- Count how many places you move the decimal to change from the original number to this new number.
- Here, you move the decimal 6 places to the left to get from 38,200,000 to 3.82.
4. Writing the Scientific Notation:
- The number is 3.82, and since we moved the decimal 6 places to the left, we multiply by [tex]\( 10^6 \)[/tex].
So, the amount of 38.2 million dollars written in scientific notation is [tex]\( 3.82 \times 10^6 \)[/tex].
Therefore, the correct answer is C [tex]\( 3.82 \times 10^6 \)[/tex].
1. Understanding the Number:
- 38.2 million is written numerically as 38,200,000.
2. Scientific Notation Basics:
- In scientific notation, a number is expressed as a product of a number (usually between 1 and 10) and a power of 10.
3. Converting to Scientific Notation:
- Place the decimal point after the first non-zero digit. For 38,200,000, this would be 3.82.
- Count how many places you move the decimal to change from the original number to this new number.
- Here, you move the decimal 6 places to the left to get from 38,200,000 to 3.82.
4. Writing the Scientific Notation:
- The number is 3.82, and since we moved the decimal 6 places to the left, we multiply by [tex]\( 10^6 \)[/tex].
So, the amount of 38.2 million dollars written in scientific notation is [tex]\( 3.82 \times 10^6 \)[/tex].
Therefore, the correct answer is C [tex]\( 3.82 \times 10^6 \)[/tex].