Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
To determine whether the number 1234000 in scientific notation is equal to [tex]\(1.234 \times 10^5\)[/tex], let's break this down step by step:
1. Identify the given number: The given number is 1234000.
2. Convert the given number to scientific notation:
- Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
- In scientific notation, a number is written as [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
3. Determine the decimal equivalent:
- Let's express 1234000 in the form [tex]\(a \times 10^n\)[/tex].
- We need to express 1234000 as a number between 1 and 10 multiplied by a power of 10.
- 1234000 can be written as [tex]\(1.234 \times 10^6\)[/tex] because if you move the decimal point 6 places to the left, you get 1.234, which is within the range [tex]\([1, 10)\)[/tex].
4. Compare the powers of ten:
- According to the problem statement, it claims that [tex]\(1234000 = 1.234 \times 10^5\)[/tex].
- However, from our conversion, [tex]\(1234000\)[/tex] is equal to [tex]\(1.234 \times 10^6\)[/tex].
5. Conclusion:
- The correct scientific notation for 1234000 is [tex]\(1.234 \times 10^6\)[/tex], not [tex]\(1.234 \times 10^5\)[/tex].
Therefore, the statement that "The number 1234000 in scientific notation is equal to [tex]\(1.234 \times 10^5\)[/tex]" is False (F).
1. Identify the given number: The given number is 1234000.
2. Convert the given number to scientific notation:
- Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
- In scientific notation, a number is written as [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
3. Determine the decimal equivalent:
- Let's express 1234000 in the form [tex]\(a \times 10^n\)[/tex].
- We need to express 1234000 as a number between 1 and 10 multiplied by a power of 10.
- 1234000 can be written as [tex]\(1.234 \times 10^6\)[/tex] because if you move the decimal point 6 places to the left, you get 1.234, which is within the range [tex]\([1, 10)\)[/tex].
4. Compare the powers of ten:
- According to the problem statement, it claims that [tex]\(1234000 = 1.234 \times 10^5\)[/tex].
- However, from our conversion, [tex]\(1234000\)[/tex] is equal to [tex]\(1.234 \times 10^6\)[/tex].
5. Conclusion:
- The correct scientific notation for 1234000 is [tex]\(1.234 \times 10^6\)[/tex], not [tex]\(1.234 \times 10^5\)[/tex].
Therefore, the statement that "The number 1234000 in scientific notation is equal to [tex]\(1.234 \times 10^5\)[/tex]" is False (F).
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.