Answer :
To write [tex]\(1,550,000,000\)[/tex] in scientific notation, you need to express the number in the form [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
Here's how you do it step-by-step:
1. Identify the Significant Figures: Start with the number [tex]\(1,550,000,000\)[/tex].
2. Place the Decimal Point: Move the decimal point leftwards to create a new number between 1 and 10. For [tex]\(1,550,000,000\)[/tex], you move the decimal point 9 places to the left, making it [tex]\(1.55\)[/tex].
3. Count the Moves: Since you moved the decimal 9 places, the power of 10 will be 9.
4. Write in Scientific Notation: Combine the significant figures with the power of ten to express the number in scientific notation. This results in [tex]\(1.55 \times 10^9\)[/tex].
Therefore, the correct scientific notation for [tex]\(1,550,000,000\)[/tex] is [tex]\(1.55 \times 10^9\)[/tex].
Here's how you do it step-by-step:
1. Identify the Significant Figures: Start with the number [tex]\(1,550,000,000\)[/tex].
2. Place the Decimal Point: Move the decimal point leftwards to create a new number between 1 and 10. For [tex]\(1,550,000,000\)[/tex], you move the decimal point 9 places to the left, making it [tex]\(1.55\)[/tex].
3. Count the Moves: Since you moved the decimal 9 places, the power of 10 will be 9.
4. Write in Scientific Notation: Combine the significant figures with the power of ten to express the number in scientific notation. This results in [tex]\(1.55 \times 10^9\)[/tex].
Therefore, the correct scientific notation for [tex]\(1,550,000,000\)[/tex] is [tex]\(1.55 \times 10^9\)[/tex].
