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 the number [tex]$1,550,000,000$[/tex] in scientific notation, follow these steps:

1. Identify the Leading Number: In scientific notation, we want a number between 1 and 10. For [tex]$1,550,000,000$[/tex], this number is 1.55.

2. Count the Decimal Places: Determine how many places you need to move the decimal point to change [tex]$1,550,000,000$[/tex] into 1.55. The original number is [tex]$1,550,000,000$[/tex]. We move the decimal point 9 places to the left to get 1.55.

3. Write the Number in Scientific Notation: After moving the decimal 9 places, you express it as [tex]\(1.55 \times 10^9\)[/tex]. This means you have multiplied 1.55 by 10, nine times, to get the original number.

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