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]
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]
