Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To determine which of the given expressions are correctly written in scientific notation, we need to understand the proper form for scientific notation. Scientific notation expresses a number as a product of a number between 1 and 10 and a power of 10. Thus, a number [tex]\(a \times 10^b\)[/tex] is in scientific notation if:
1. [tex]\(1 \leq a < 10\)[/tex]
2. [tex]\(b\)[/tex] is an integer.
Let's examine each of the given expressions:
1. [tex]\(0.71 \times 10^{-5}\)[/tex]:
- Here, the coefficient [tex]\(0.71\)[/tex] is not between 1 and 10. Hence, this is not correctly written in scientific notation.
2. [tex]\(3.28 \times 10^{-4}\)[/tex]:
- The coefficient [tex]\(3.28\)[/tex] is between 1 and 10. Therefore, this expression is correctly written in scientific notation.
3. [tex]\(16.4 \times 10^3\)[/tex]:
- The coefficient [tex]\(16.4\)[/tex] is greater than 10, so this is not correctly written in scientific notation.
4. [tex]\(6.72^2\)[/tex]:
- This expression is not in the form [tex]\(a \times 10^b\)[/tex] at all, thus it is not written in scientific notation.
Therefore, among the given options, the expression that is correctly written in scientific notation is:
[tex]\[\boxed{3.28 \times 10^{-4}}\][/tex]
1. [tex]\(1 \leq a < 10\)[/tex]
2. [tex]\(b\)[/tex] is an integer.
Let's examine each of the given expressions:
1. [tex]\(0.71 \times 10^{-5}\)[/tex]:
- Here, the coefficient [tex]\(0.71\)[/tex] is not between 1 and 10. Hence, this is not correctly written in scientific notation.
2. [tex]\(3.28 \times 10^{-4}\)[/tex]:
- The coefficient [tex]\(3.28\)[/tex] is between 1 and 10. Therefore, this expression is correctly written in scientific notation.
3. [tex]\(16.4 \times 10^3\)[/tex]:
- The coefficient [tex]\(16.4\)[/tex] is greater than 10, so this is not correctly written in scientific notation.
4. [tex]\(6.72^2\)[/tex]:
- This expression is not in the form [tex]\(a \times 10^b\)[/tex] at all, thus it is not written in scientific notation.
Therefore, among the given options, the expression that is correctly written in scientific notation is:
[tex]\[\boxed{3.28 \times 10^{-4}}\][/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.