To write the number [tex]\( 8,670,000,000 \)[/tex] in scientific notation, follow these steps:
1. Identify the Given Number:
Our number is [tex]\( 8,670,000,000 \)[/tex].
2. Position the Decimal Point:
In scientific notation, we want to place the decimal point after the first non-zero digit. Here, [tex]\( 8.67 \)[/tex].
3. Count the Decimal Places:
Count how many places we move the decimal point to the left to convert [tex]\( 8,670,000,000 \)[/tex] into [tex]\( 8.67 \)[/tex]. We moved it 9 places:
[tex]\[
8,670,000,000 \rightarrow 8.67 \times 10^9
\][/tex]
4. Construct the Scientific Notation:
Multiply [tex]\( 8.67 \)[/tex] by [tex]\( 10 \)[/tex] raised to the power of the number of places moved, which is 9. Thus, the scientific notation is:
[tex]\[
8.67 \times 10^9
\][/tex]
Final Answer:
[tex]\[
8,670,000,000 = 8.67 \times 10^9
\][/tex]
Among the given options:
- [tex]\( 8.67 \times 10 \)[/tex]
- [tex]\( 86.7 \times 100^8 \)[/tex]
- [tex]\( 8.67 \times 10^9 \)[/tex]
- [tex]\( 0.867 \times 10^{10} \)[/tex]
The correct answer is:
[tex]\[
8.67 \times 10^9
\][/tex]
