To express [tex]\(150,000,000\)[/tex] in scientific notation, we need to follow these steps:
1. Identify the Significant Figures:
- First, identify the significant figures in the number [tex]\(150,000,000\)[/tex]. This number can be written as [tex]\(1.5 \cdot 100,000,000\)[/tex].
2. Determine the Power of 10:
- Next, we need to identify how many places we need to move the decimal point to the right in the number [tex]\(1.5\)[/tex] to get [tex]\(150,000,000\)[/tex].
- The number [tex]\(100,000,000\)[/tex] can be expressed as [tex]\(10^8\)[/tex], since it has eight zeros.
3. Combine Significant Figures and the Power of 10:
- Putting it all together, [tex]\(150,000,000\)[/tex] can be rewritten as [tex]\(1.5 \times 10^8\)[/tex].
Therefore, the number [tex]\(150,000,000\)[/tex] expressed in scientific notation is [tex]\(1.5 \times 10^8\)[/tex].
Thus, the correct choice is:
[tex]\[ 1.5 \times 10^8 \][/tex]
In conclusion, the correct answer is [tex]\( \boxed{1.5 \times 10^8} \)[/tex].
