Question
1. Use scientific notation to determine which of these numbers is greater: 34,835,760 or 43,835,760. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
2. Use scientific notation to determine which of these numbers has the least value: 123,893, 31,892, or 12,786. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
3. Use scientific notation to determine which of these numbers has the greatest value: 654,987,034; 645,897,430; or 546,789,340. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
4. Compare 0.0000635 and 0.000456. Write <%0D%0A<%0D%0A, >%0D%0A>%0D%0A, or =%0D%0A=%0D%0A in the blank.(1 point)%0D%0A0.0000635 0.000456
5. Which symbol makes the statement true? Write <%0D%0A<%0D%0A , >%0D%0A>%0D%0A , or =%0D%0A=%0D%0A in the blank.(1 point)%0D%0A5 × 10−11%0D%0A5%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A11%0D%0A 3 × 10−11
2. Use scientific notation to determine which of these numbers has the least value: 123,893, 31,892, or 12,786. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
3. Use scientific notation to determine which of these numbers has the greatest value: 654,987,034; 645,897,430; or 546,789,340. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
4. Compare 0.0000635 and 0.000456. Write <%0D%0A<%0D%0A, >%0D%0A>%0D%0A, or =%0D%0A=%0D%0A in the blank.(1 point)%0D%0A0.0000635 0.000456
5. Which symbol makes the statement true? Write <%0D%0A<%0D%0A , >%0D%0A>%0D%0A , or =%0D%0A=%0D%0A in the blank.(1 point)%0D%0A5 × 10−11%0D%0A5%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A11%0D%0A 3 × 10−11
Answers
Answer
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Answered by
GPT-4o mini
1. To compare 34,835,760 and 43,835,760 in scientific notation:
- 34,835,760 = \(3.483576 \times 10^7\)
- 43,835,760 = \(4.383576 \times 10^7\)
Since \(4.383576 > 3.483576\), 43,835,760 is greater.
**Answer: \(4.383576 \times 10^7\)**
2. To find which of the numbers 123,893; 31,892; or 12,786 has the least value in scientific notation:
- 123,893 = \(1.23893 \times 10^5\)
- 31,892 = \(3.1892 \times 10^4\)
- 12,786 = \(1.2786 \times 10^4\)
Comparing these, \(1.2786 \times 10^4\) is the smallest.
**Answer: \(1.2786 \times 10^4\)**
3. To determine which of the numbers 654,987,034; 645,897,430; or 546,789,340 has the greatest value in scientific notation:
- 654,987,034 = \(6.54987034 \times 10^8\)
- 645,897,430 = \(6.45897430 \times 10^8\)
- 546,789,340 = \(5.46789340 \times 10^8\)
Since \(6.54987034 > 6.45897430 > 5.46789340\), the greatest is 654,987,034.
**Answer: \(6.54987034 \times 10^8\)**
4. To compare 0.0000635 and 0.000456:
- 0.0000635 = \(6.35 \times 10^{-5}\)
- 0.000456 = \(4.56 \times 10^{-4}\)
Since \(10^{-4} > 10^{-5}\), \(0.0000635 < 0.000456\).
**Answer: <**
5. To compare \(5 \times 10^{-11}\) and \(3 \times 10^{-11}\):
Since both numbers have the same exponent of \(-11\), we compare the coefficients:
- 5 vs 3
Since \(5 > 3\), we have \(5 \times 10^{-11} > 3 \times 10^{-11}\).
**Answer: >**
- 34,835,760 = \(3.483576 \times 10^7\)
- 43,835,760 = \(4.383576 \times 10^7\)
Since \(4.383576 > 3.483576\), 43,835,760 is greater.
**Answer: \(4.383576 \times 10^7\)**
2. To find which of the numbers 123,893; 31,892; or 12,786 has the least value in scientific notation:
- 123,893 = \(1.23893 \times 10^5\)
- 31,892 = \(3.1892 \times 10^4\)
- 12,786 = \(1.2786 \times 10^4\)
Comparing these, \(1.2786 \times 10^4\) is the smallest.
**Answer: \(1.2786 \times 10^4\)**
3. To determine which of the numbers 654,987,034; 645,897,430; or 546,789,340 has the greatest value in scientific notation:
- 654,987,034 = \(6.54987034 \times 10^8\)
- 645,897,430 = \(6.45897430 \times 10^8\)
- 546,789,340 = \(5.46789340 \times 10^8\)
Since \(6.54987034 > 6.45897430 > 5.46789340\), the greatest is 654,987,034.
**Answer: \(6.54987034 \times 10^8\)**
4. To compare 0.0000635 and 0.000456:
- 0.0000635 = \(6.35 \times 10^{-5}\)
- 0.000456 = \(4.56 \times 10^{-4}\)
Since \(10^{-4} > 10^{-5}\), \(0.0000635 < 0.000456\).
**Answer: <**
5. To compare \(5 \times 10^{-11}\) and \(3 \times 10^{-11}\):
Since both numbers have the same exponent of \(-11\), we compare the coefficients:
- 5 vs 3
Since \(5 > 3\), we have \(5 \times 10^{-11} > 3 \times 10^{-11}\).
**Answer: >**
Answered by
GPT-4o mini
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