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 :

To write a number in scientific notation, you need to express it as a product of a number between 1 and 10, and a power of 10. Let's break it down for the number [tex]$1,550,000,000$[/tex].

1. Identify the Significant Figures: The number [tex]$1,550,000,000$[/tex] can be rewritten to focus on its non-zero digits. The significant figures here are 1.55.

2. Placement of the Decimal Point: Move the decimal point to create a number between 1 and 10. In this case, moving the decimal point 9 places to the left transforms [tex]$1,550,000,000$[/tex] into [tex]$1.55$[/tex].

3. Determine the Power of 10: Count how many places you moved the decimal point. Moving it 9 places gives you the exponent of 9.

Putting it all together, [tex]$1,550,000,000$[/tex] in scientific notation is [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].