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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: Look at the number and identify the significant digits. In this case, the significant digits are "155."
2. Place the Decimal Point: In scientific notation, you need to place the decimal point after the first significant digit to form a number between 1 and 10. For "155," this becomes "1.55."
3. Count the Decimal Places: Count how many places you have moved the decimal point to get from the original number to the new number. Starting from the end of the original number (the right-most zero), count left to where you place the new decimal point just after the first significant digit:
Original number: 1,550,000,000
New number: 1.55
The decimal has moved 9 places to the left.
4. Write in Scientific Notation: Express the number as a product of the new decimal number and a power of ten. The power of ten should be equal to the number of places you moved the decimal point. Since we moved the decimal 9 places to the left, the power of ten is 9.
Thus, [tex]$1,550,000,000$[/tex] can be written as:
[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].
1. Identify the Significant Figures: Look at the number and identify the significant digits. In this case, the significant digits are "155."
2. Place the Decimal Point: In scientific notation, you need to place the decimal point after the first significant digit to form a number between 1 and 10. For "155," this becomes "1.55."
3. Count the Decimal Places: Count how many places you have moved the decimal point to get from the original number to the new number. Starting from the end of the original number (the right-most zero), count left to where you place the new decimal point just after the first significant digit:
Original number: 1,550,000,000
New number: 1.55
The decimal has moved 9 places to the left.
4. Write in Scientific Notation: Express the number as a product of the new decimal number and a power of ten. The power of ten should be equal to the number of places you moved the decimal point. Since we moved the decimal 9 places to the left, the power of ten is 9.
Thus, [tex]$1,550,000,000$[/tex] can be written as:
[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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