High School

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]$1,550,000,000$[/tex] in scientific notation, let's break it down step-by-step:

1. Identify the Significant Figures:
Start by identifying the significant figures in the number. For [tex]$1,550,000,000$[/tex], the significant figures are 1.55.

2. Determine the Power of 10:
Count how many places you move the decimal point to the left to change [tex]$1,550,000,000$[/tex] into 1.55.
- You move the decimal 9 places to the left.

3. Combine into Scientific Notation:
Scientific notation is written as a number between 1 and 10 multiplied by 10 raised to an exponent. Since we moved the decimal 9 places, the exponent is 9.

4. Final Scientific Notation:
Therefore, [tex]$1,550,000,000$[/tex] in scientific notation is [tex]$1.55 \times 10^9$[/tex].

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