College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ 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 Significant Digits:
Start by identifying the significant digits of the number. In this case, the significant digits are "1.55".

2. Determine the Decimal Point Movement:
To convert to scientific notation, place the decimal point after the first significant digit to make the number lie between 1 and 10. Here, you need to move the decimal point 9 places to the left. So, from "1,550,000,000", you adjust it to "1.55".

3. Determine the Exponent:
Since you moved the decimal point 9 places to the left, you'll multiply by [tex]\(10^9\)[/tex] because moving the decimal to the left indicates a positive exponent.

4. Compile the Scientific Notation:
Combine the significant digits with the exponent to write the number in scientific notation. This gives you [tex]\(1.55 \times 10^9\)[/tex].

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