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Answer :
Sure! Let's convert the number [tex]\(100,800,000,000\)[/tex] into scientific notation step by step.
1. Understand what scientific notation means: Scientific notation is a way to express very large or very small numbers. It's written as the product of a number between 1 and 10 and a power of 10.
2. Identify the significant figures: In [tex]\(100,800,000,000\)[/tex], the significant figures we are primarily concerned with are the non-zero digits at the beginning of the number. Here, they are 1, 0, 0, and 8.
3. Place the decimal point: Position the decimal point after the first non-zero digit to create a number between 1 and 10. This gives us 1.008.
4. Determine the exponent: Count how many places you move the original decimal point to get this scientific form. Starting from the original number [tex]\(100,800,000,000\)[/tex], you move the decimal 11 places to the left to position it just after the 1 (from the end of the number all the way to right after the first digit 1).
5. Write in scientific notation: Combining the number and the power of 10, you get:
[tex]\[
1.008 \times 10^{11}
\][/tex]
So, the number [tex]\(100,800,000,000\)[/tex] is correctly represented in scientific notation as [tex]\(1.008 \times 10^{11}\)[/tex].
1. Understand what scientific notation means: Scientific notation is a way to express very large or very small numbers. It's written as the product of a number between 1 and 10 and a power of 10.
2. Identify the significant figures: In [tex]\(100,800,000,000\)[/tex], the significant figures we are primarily concerned with are the non-zero digits at the beginning of the number. Here, they are 1, 0, 0, and 8.
3. Place the decimal point: Position the decimal point after the first non-zero digit to create a number between 1 and 10. This gives us 1.008.
4. Determine the exponent: Count how many places you move the original decimal point to get this scientific form. Starting from the original number [tex]\(100,800,000,000\)[/tex], you move the decimal 11 places to the left to position it just after the 1 (from the end of the number all the way to right after the first digit 1).
5. Write in scientific notation: Combining the number and the power of 10, you get:
[tex]\[
1.008 \times 10^{11}
\][/tex]
So, the number [tex]\(100,800,000,000\)[/tex] is correctly represented in scientific notation as [tex]\(1.008 \times 10^{11}\)[/tex].
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