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What is the correct way to write [tex]$1,550,000,000$[/tex] in scientific notation?

A. [tex]$1.55 \times 10^9$[/tex]
B. [tex][tex]$1.55 \times 10^{10}$[/tex][/tex]
C. [tex]$15.5 \times 10^8$[/tex]
D. [tex]$15.5 \times 10^9$[/tex]

Answer :

To write the number [tex]$1,550,000,000$[/tex] in scientific notation, you want to express it as a number between 1 and 10 multiplied by a power of 10. Here’s how you can do it step-by-step:

1. Identify the Significant Figures: In the number 1,550,000,000, the significant figures are "1.55".

2. Determine the Decimal Point Position: To express this number in scientific notation, place the decimal point after the first non-zero digit (1.55).

3. Count the Number of Places the Decimal Point Moved: In the original number (1,550,000,000), the decimal point is at the end. To transform it into 1.55, you need to move the decimal point 9 places to the left.

4. Express as a Power of 10: Since you moved the decimal point 9 places to the left, the power of 10 will be 9. Therefore, the number in scientific notation is:

[tex]\[ 1.55 \times 10^9 \][/tex]

This means 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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