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Answer :
To write the number [tex]$1,550,000,000$[/tex] in scientific notation, we need to express it in the form of a coefficient multiplied by a power of 10. Here’s how you can do it step-by-step:
1. Find the Coefficient:
- Take the number [tex]$1,550,000,000$[/tex] and identify where the decimal point should be placed to create a number between 1 and 10.
- For this number, if we move the decimal point 9 places to the left, we get 1.55. So, 1.55 is the coefficient.
2. Determine the Exponent:
- Since we moved the decimal point 9 places to the left, the exponent for the power of 10 will be 9. This represents how many times you need to multiply 1.55 by 10 to get back to the original number.
3. Combine the Coefficient and Exponent:
- Combine the coefficient (1.55) and the exponent (9) in the scientific notation form, which gives us [tex]\(1.55 \times 10^9\)[/tex].
So, the correct way to write [tex]$1,550,000,000$[/tex] in scientific notation is [tex]\(1.55 \times 10^9\)[/tex]. Among the given choices, this corresponds to the first option: [tex]\(1.55 \times 10^9\)[/tex].
1. Find the Coefficient:
- Take the number [tex]$1,550,000,000$[/tex] and identify where the decimal point should be placed to create a number between 1 and 10.
- For this number, if we move the decimal point 9 places to the left, we get 1.55. So, 1.55 is the coefficient.
2. Determine the Exponent:
- Since we moved the decimal point 9 places to the left, the exponent for the power of 10 will be 9. This represents how many times you need to multiply 1.55 by 10 to get back to the original number.
3. Combine the Coefficient and Exponent:
- Combine the coefficient (1.55) and the exponent (9) in the scientific notation form, which gives us [tex]\(1.55 \times 10^9\)[/tex].
So, the correct way to write [tex]$1,550,000,000$[/tex] in scientific notation is [tex]\(1.55 \times 10^9\)[/tex]. Among the given choices, this corresponds to the first option: [tex]\(1.55 \times 10^9\)[/tex].
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