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Answer :
Sure! Let's go through the steps to express [tex]$1,550,000,000$[/tex] in scientific notation.
1. Understand the Number: We have the number [tex]$1,550,000,000$[/tex]. In scientific notation, we aim to express it as a product of a number (between 1 and 10) and a power of 10.
2. Identify the Decimal Placement: To convert to scientific notation, we need to place the decimal point such that only one non-zero digit remains to the left of the decimal. For [tex]$1,550,000,000$[/tex], this means moving the decimal point to the right of the first '1' to form 1.55.
3. Count the Decimal Places Moved: Starting from the end of the number (after all zeroes) and moving to the position right after the first digit '1', we find the decimal place moves 9 places to the left.
4. Write in Scientific Notation: We combine the number we formed, 1.55, with a power of 10. The power of 10 reflects how many places we moved the decimal. Since the decimal moved 9 places to the left, the power is 9.
5. Final Answer: Therefore, the correct way to write [tex]$1,550,000,000$[/tex] in scientific notation is [tex]\(1.55 \times 10^9\)[/tex].
So, the answer is [tex]\(1.55 \times 10^9\)[/tex].
1. Understand the Number: We have the number [tex]$1,550,000,000$[/tex]. In scientific notation, we aim to express it as a product of a number (between 1 and 10) and a power of 10.
2. Identify the Decimal Placement: To convert to scientific notation, we need to place the decimal point such that only one non-zero digit remains to the left of the decimal. For [tex]$1,550,000,000$[/tex], this means moving the decimal point to the right of the first '1' to form 1.55.
3. Count the Decimal Places Moved: Starting from the end of the number (after all zeroes) and moving to the position right after the first digit '1', we find the decimal place moves 9 places to the left.
4. Write in Scientific Notation: We combine the number we formed, 1.55, with a power of 10. The power of 10 reflects how many places we moved the decimal. Since the decimal moved 9 places to the left, the power is 9.
5. Final Answer: Therefore, the correct way to write [tex]$1,550,000,000$[/tex] in scientific notation is [tex]\(1.55 \times 10^9\)[/tex].
So, the answer is [tex]\(1.55 \times 10^9\)[/tex].
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