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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 express [tex]$1,550,000,000$[/tex] in scientific notation, follow these steps:

1. Identify the Decimal Point Position: The goal is to move the decimal point in the number [tex]$1,550,000,000$[/tex] so that there is only one non-zero digit to the left of the decimal point. This helps create a coefficient that is between 1 and 10.

2. Convert and Count Decimal Places:
- Start with [tex]$1,550,000,000$[/tex].
- Place the decimal so you have [tex]$1.55$[/tex]. This involves moving the decimal point 9 places to the left.

3. Express in Scientific Notation:
- After moving the decimal 9 places to the left, the number is expressed as [tex]$1.55 \times 10^9$[/tex].
- Here, [tex]$1.55$[/tex] is the coefficient, and [tex]$9$[/tex] is the exponent, indicating how many places the decimal point was moved.

4. Conclusion:
- The scientific notation for [tex]$1,550,000,000$[/tex] 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].

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