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

Answer :

Sure! Let me help you understand how to write the number [tex]$1,550,000,000$[/tex] in scientific notation step-by-step:

1. Identify the Significant Figures:
- In the number [tex]$1,550,000,000$[/tex], the significant figures are '1.55'.

2. Place the Decimal Point:
- We want to represent the number in the form of [tex]\( a \times 10^n \)[/tex], where 'a' is a number between 1 and 10. In this case, 'a' is 1.55.

3. Determine the Exponent:
- To convert [tex]$1,550,000,000$[/tex] into 1.55, we move the decimal point 9 places to the left.

4. Write in Scientific Notation:
- Since we moved the decimal point 9 places, the exponent is 9. Therefore, [tex]$1,550,000,000$[/tex] can be written as [tex]\( 1.55 \times 10^9 \)[/tex].

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