College

What is the correct way to write [tex]$1,550,000,000$[/tex] in scientific notation?

A. [tex]$1.55 \times 10^9$[/tex]
B. [tex]$1.55 \times 10^{10}$[/tex]
C. [tex]$15.5 \times 10^8$[/tex]
D. [tex]$15.5 \times 10^9$[/tex]

Answer :

To write [tex]$1,550,000,000 in scientific notation, we need to follow these steps:

1. Identify the Significant Figures: Start with the significant digits of the number. In this case, it's \(1.55\).

2. Place the Decimal Point: Scientific notation requires the decimal point to be after the first non-zero digit. In \(1,550,000,000\), this is done by placing the decimal right after the 1, making it \(1.55\).

3. Count the Decimal Places: Next, count how many places you move the decimal point to reach its new position. For \(1,550,000,000\), the decimal is moved 9 positions to the right to get from 1,550,000,000 to 1.55.

4. Determine the Exponent: The number of places moved becomes the exponent of 10. Since the original number is larger than 1, the exponent will be positive.

5. Write in Scientific Notation: Combine the significant digits with the power of ten. So, \(1,550,000,000\) in scientific notation is written as \(1.55 \times 10^9\).

Therefore, the correct way to write $[/tex]1,550,000,000$ in scientific notation is [tex]\(1.55 \times 10^9\)[/tex].