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, you need to express it in the form of [tex]\( a \times 10^n \)[/tex], where [tex]\( a \)[/tex] is a number greater than or equal to 1 and less than 10, and [tex]\( n \)[/tex] is an integer.

Here are the steps to find the correct scientific notation:

1. Identify the Significant Figures:
- Start by placing the decimal point so that only one non-zero digit appears to the left of the decimal. For [tex]\( 1,550,000,000 \)[/tex], move the decimal point 9 places to the left, which gives you 1.55.

2. Determine the Power of Ten:
- Count the number of places you moved the decimal point. Since you moved it 9 positions to the left, the power of ten is 9.

Therefore, the number [tex]$1,550,000,000$[/tex] in scientific notation is written as:

[tex]\[ 1.55 \times 10^9 \][/tex]

Now, let's match this with the provided options:
- [tex]\( 1.55 \times 10^9 \)[/tex] is the correct way to write [tex]$1,550,000,000$[/tex] in scientific notation.

Hence, the correct answer is [tex]\( 1.55 \times 10^9 \)[/tex].