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In the year 2000, approximately [tex]$169,000,000$[/tex] personal computers were used in the United States. What is this number expressed in scientific notation?

[tex]
\[
\begin{array}{ll}
\text{F} & 1.69 \times 10^{-8} \\
\text{G} & 16.9 \times 10^{-7} \\
\text{H} & 16.9 \times 10^7 \\
\text{J} & 1.69 \times 10^8 \\
\end{array}
\]
[/tex]

Answer :

Sure! Let's express the number of personal computers, 169,000,000, in scientific notation step-by-step.

1. Identify the significant figures: The number 169,000,000 can be expressed in terms of its significant figures. The digits here are 1, 6, and 9.

2. Place the decimal point after the first significant figure: To convert 169,000,000 into scientific notation, place the decimal point after the first significant figure, which is 1. This gives us 1.69.

3. Determine the power of 10: Count the number of places the decimal point has moved from its original position (at the end of the number) to its new position (after the 1). Moving 8 places from 169,000,000 to 1.69 means we are multiplying by [tex]\(10^8\)[/tex].

So, 169,000,000 expressed in scientific notation is [tex]\(1.69 \times 10^8\)[/tex].

Therefore, the correct choice is:
[tex]\[ \text{J } 1.69 \times 10^8 \][/tex]

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