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Answer :
To express the number [tex]$1,550,000,000$[/tex] in scientific notation, we follow these steps:
1. Identify the Significant Figures: First, we recognize that the number [tex]$1,550,000,000$[/tex] can be represented with significant figures as [tex]$1.55$[/tex].
2. Determine the Power of Ten: Next, we count how many places we move the decimal point to the left to change [tex]$1,550,000,000$[/tex] into [tex]$1.55$[/tex]. Since we move the decimal point nine places to the left (from [tex]$1,550,000,000$[/tex] to [tex]$1.55$[/tex]), the power of ten will be [tex]$9$[/tex].
3. Write the Scientific Notation: Combine the significant figures with the power of ten. Therefore, [tex]$1,550,000,000$[/tex] in scientific notation is written as:
[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], which matches the first option.
1. Identify the Significant Figures: First, we recognize that the number [tex]$1,550,000,000$[/tex] can be represented with significant figures as [tex]$1.55$[/tex].
2. Determine the Power of Ten: Next, we count how many places we move the decimal point to the left to change [tex]$1,550,000,000$[/tex] into [tex]$1.55$[/tex]. Since we move the decimal point nine places to the left (from [tex]$1,550,000,000$[/tex] to [tex]$1.55$[/tex]), the power of ten will be [tex]$9$[/tex].
3. Write the Scientific Notation: Combine the significant figures with the power of ten. Therefore, [tex]$1,550,000,000$[/tex] in scientific notation is written as:
[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], which matches the first option.
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