Thank you for visiting Determine the sum of tex 26 5 times 10 4 9 4 times 10 4 tex Write your answer in scientific notation A tex 35. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve the problem of determining the sum of [tex]\(26.5 \times 10^4 + 9.4 \times 10^4\)[/tex] and express it in scientific notation, follow these steps:
1. Understand the Values:
- We need to add [tex]\(26.5 \times 10^4\)[/tex] and [tex]\(9.4 \times 10^4\)[/tex].
2. Add the Values:
- Since the powers of 10 are the same ([tex]\(10^4\)[/tex]), we can directly add the coefficients (the numbers in front).
- [tex]\(26.5 + 9.4 = 35.9\)[/tex].
3. Keep the Power of 10:
- After summing the coefficients, attach the common power of 10 to the result.
- Therefore, [tex]\(35.9 \times 10^4\)[/tex].
4. Convert to Scientific Notation:
- The coefficient [tex]\(35.9\)[/tex] is not between 1 and 10, so we need to adjust it to fit the standard form of scientific notation.
- Move the decimal point one place to the left for [tex]\(35.9\)[/tex], making it [tex]\(3.59\)[/tex].
- Since we reduced the coefficient by a factor of 10, increase the exponent by 1 to adjust the number: [tex]\(3.59 \times 10^{4+1} = 3.59 \times 10^5\)[/tex].
5. Find the Correct Answer from the Options:
- From the given options:
- a) [tex]\(35.9 \times 10^9\)[/tex]
- b) [tex]\(3.59 \times 10^5\)[/tex]
- c) [tex]\(17.1 \times 10^4\)[/tex]
- d) [tex]\(17.1 \times 10^8\)[/tex]
- The correct answer is option b) [tex]\(3.59 \times 10^5\)[/tex].
By following these steps, the final result of the sum expressed in scientific notation is [tex]\(3.59 \times 10^5\)[/tex].
1. Understand the Values:
- We need to add [tex]\(26.5 \times 10^4\)[/tex] and [tex]\(9.4 \times 10^4\)[/tex].
2. Add the Values:
- Since the powers of 10 are the same ([tex]\(10^4\)[/tex]), we can directly add the coefficients (the numbers in front).
- [tex]\(26.5 + 9.4 = 35.9\)[/tex].
3. Keep the Power of 10:
- After summing the coefficients, attach the common power of 10 to the result.
- Therefore, [tex]\(35.9 \times 10^4\)[/tex].
4. Convert to Scientific Notation:
- The coefficient [tex]\(35.9\)[/tex] is not between 1 and 10, so we need to adjust it to fit the standard form of scientific notation.
- Move the decimal point one place to the left for [tex]\(35.9\)[/tex], making it [tex]\(3.59\)[/tex].
- Since we reduced the coefficient by a factor of 10, increase the exponent by 1 to adjust the number: [tex]\(3.59 \times 10^{4+1} = 3.59 \times 10^5\)[/tex].
5. Find the Correct Answer from the Options:
- From the given options:
- a) [tex]\(35.9 \times 10^9\)[/tex]
- b) [tex]\(3.59 \times 10^5\)[/tex]
- c) [tex]\(17.1 \times 10^4\)[/tex]
- d) [tex]\(17.1 \times 10^8\)[/tex]
- The correct answer is option b) [tex]\(3.59 \times 10^5\)[/tex].
By following these steps, the final result of the sum expressed in scientific notation is [tex]\(3.59 \times 10^5\)[/tex].
Thank you for reading the article Determine the sum of tex 26 5 times 10 4 9 4 times 10 4 tex Write your answer in scientific notation A tex 35. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
