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Answer :
To write the number [tex]$1,550,000,000$[/tex] in scientific notation, follow these steps:
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 Correct Power of 10:
To convert to scientific notation, you need to express the number as a digit between 1 and 10 multiplied by a power of 10. Move the decimal point in "1.55" to the right of the first non-zero digit. In this case, the number "1.55" has its decimal at the right place already, as it represents the significant figures.
3. Count How Many Places the Decimal Moved:
Count how many places you would move the decimal point to convert [tex]$1.55$[/tex] back to [tex]$1,550,000,000$[/tex]. In this case, we started with [tex]$1.55$[/tex] and need to multiply by a power of 10 to become [tex]$1,550,000,000$[/tex].
Decimal point movement:
- Start from 1.55.
- Move the decimal 9 places to the right to get [tex]$1,550,000,000$[/tex].
4. Combine the Significant Figures and Power of 10:
Therefore, [tex]$1,550,000,000$[/tex] in scientific notation is [tex]$1.55 \times 10^9$[/tex].
So, the correct answer is [tex]$1.55 \times 10^9$[/tex].
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 Correct Power of 10:
To convert to scientific notation, you need to express the number as a digit between 1 and 10 multiplied by a power of 10. Move the decimal point in "1.55" to the right of the first non-zero digit. In this case, the number "1.55" has its decimal at the right place already, as it represents the significant figures.
3. Count How Many Places the Decimal Moved:
Count how many places you would move the decimal point to convert [tex]$1.55$[/tex] back to [tex]$1,550,000,000$[/tex]. In this case, we started with [tex]$1.55$[/tex] and need to multiply by a power of 10 to become [tex]$1,550,000,000$[/tex].
Decimal point movement:
- Start from 1.55.
- Move the decimal 9 places to the right to get [tex]$1,550,000,000$[/tex].
4. Combine the Significant Figures and Power of 10:
Therefore, [tex]$1,550,000,000$[/tex] in scientific notation is [tex]$1.55 \times 10^9$[/tex].
So, the correct answer is [tex]$1.55 \times 10^9$[/tex].
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