At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Sure, for this question, we need to determine the smallest time measurement among the four options given. Let's proceed step-by-step with the conversions and comparisons:
1. Convert each measurement to seconds: This allows for an easy comparison.
- 0.02 seconds: This is already in seconds.
- 0.02 teraseconds: A terasecond is [tex]\(10^{12}\)[/tex] seconds. So, converting this:
[tex]\[ 0.02 \text{ teraseconds} = 0.02 \times 10^{12} \text{ seconds} = 20,000,000,000 \text{ seconds} \][/tex]
- 2,500 milliseconds: There are [tex]\(1,000\)[/tex] milliseconds in a second. So, converting this:
[tex]\[ 2,500 \text{ milliseconds} = 2,500 \div 1,000 \text{ seconds} = 2.5 \text{ seconds} \][/tex]
- 25,000 nanoseconds: There are [tex]\(1,000,000,000\)[/tex] (1 billion) nanoseconds in a second. So, converting this:
[tex]\[ 25,000 \text{ nanoseconds} = 25,000 \div 1,000,000,000 \text{ seconds} = 0.000025 \text{ seconds} \][/tex]
2. Compare all the converted time measurements:
- 0.02 seconds
- 20,000,000,000 seconds
- 2.5 seconds
- 0.000025 seconds
Clearly, by comparing these values:
[tex]\[ 20,000,000,000 \text{ seconds} > 2.5 \text{ seconds} > 0.02 \text{ seconds} > 0.000025 \text{ seconds} \][/tex]
3. Identifying the smallest time measurement:
From the comparisons above, the smallest time measurement is:
[tex]\[ 25,000 \text{ nanoseconds} = 0.000025 \text{ seconds} \][/tex]
So, the smallest time measurement among the given options is 25,000 nanoseconds.
1. Convert each measurement to seconds: This allows for an easy comparison.
- 0.02 seconds: This is already in seconds.
- 0.02 teraseconds: A terasecond is [tex]\(10^{12}\)[/tex] seconds. So, converting this:
[tex]\[ 0.02 \text{ teraseconds} = 0.02 \times 10^{12} \text{ seconds} = 20,000,000,000 \text{ seconds} \][/tex]
- 2,500 milliseconds: There are [tex]\(1,000\)[/tex] milliseconds in a second. So, converting this:
[tex]\[ 2,500 \text{ milliseconds} = 2,500 \div 1,000 \text{ seconds} = 2.5 \text{ seconds} \][/tex]
- 25,000 nanoseconds: There are [tex]\(1,000,000,000\)[/tex] (1 billion) nanoseconds in a second. So, converting this:
[tex]\[ 25,000 \text{ nanoseconds} = 25,000 \div 1,000,000,000 \text{ seconds} = 0.000025 \text{ seconds} \][/tex]
2. Compare all the converted time measurements:
- 0.02 seconds
- 20,000,000,000 seconds
- 2.5 seconds
- 0.000025 seconds
Clearly, by comparing these values:
[tex]\[ 20,000,000,000 \text{ seconds} > 2.5 \text{ seconds} > 0.02 \text{ seconds} > 0.000025 \text{ seconds} \][/tex]
3. Identifying the smallest time measurement:
From the comparisons above, the smallest time measurement is:
[tex]\[ 25,000 \text{ nanoseconds} = 0.000025 \text{ seconds} \][/tex]
So, the smallest time measurement among the given options is 25,000 nanoseconds.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.