Question
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)
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)
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)
Compare 0.0000635 and 0.000456. Write <
, >
, or =
in the blank.(1 point)
0.0000635 0.000456
Which symbol makes the statement true? Write <
, >
, or =
in the blank.(1 point)
5 × 10−11
3 × 10−11
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)
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)
Compare 0.0000635 and 0.000456. Write <
, >
, or =
in the blank.(1 point)
0.0000635 0.000456
Which symbol makes the statement true? Write <
, >
, or =
in the blank.(1 point)
5 × 10−11
3 × 10−11
Answers
Answered by
GPT-4o mini
1. To express the numbers 34,835,760 and 43,835,760 in scientific notation:
- 34,835,760 = 3.4835760 × 10^7
- 43,835,760 = 4.3835760 × 10^7
Comparing the coefficients (3.4835760 and 4.3835760), 4.3835760 is greater.
**Answer**: 4.3835760 × 10^7
2. To express the numbers 123,893; 31,892; and 12,786 in scientific notation:
- 123,893 = 1.23893 × 10^5
- 31,892 = 3.1892 × 10^4
- 12,786 = 1.2786 × 10^4
Comparing the values in scientific notation, we can see that 3.1892 × 10^4 and 1.2786 × 10^4 are both less than 1.23893 × 10^5. Among these, 1.2786 × 10^4 (12,786) is the least.
**Answer**: 1.2786 × 10^4
3. To express the numbers 654,987,034; 645,897,430; and 546,789,340 in scientific notation:
- 654,987,034 = 6.54987034 × 10^8
- 645,897,430 = 6.45897430 × 10^8
- 546,789,340 = 5.46789340 × 10^8
Comparing the coefficients, 6.54987034 is the greatest.
**Answer**: 6.54987034 × 10^8
4. Comparing 0.0000635 and 0.000456 in a similar scale, express both in scientific notation:
- 0.0000635 = 6.35 × 10^-5
- 0.000456 = 4.56 × 10^-4
Since 10^-4 is greater than 10^-5, we have:
**Answer**: 0.0000635 < 0.000456
5. Comparing 5 × 10^(-11) and 3 × 10^(-11):
- The coefficients are 5 and 3, with the same exponent of -11.
Since 5 is greater than 3, we have:
**Answer**: 5 × 10^(-11) > 3 × 10^(-11)
- 34,835,760 = 3.4835760 × 10^7
- 43,835,760 = 4.3835760 × 10^7
Comparing the coefficients (3.4835760 and 4.3835760), 4.3835760 is greater.
**Answer**: 4.3835760 × 10^7
2. To express the numbers 123,893; 31,892; and 12,786 in scientific notation:
- 123,893 = 1.23893 × 10^5
- 31,892 = 3.1892 × 10^4
- 12,786 = 1.2786 × 10^4
Comparing the values in scientific notation, we can see that 3.1892 × 10^4 and 1.2786 × 10^4 are both less than 1.23893 × 10^5. Among these, 1.2786 × 10^4 (12,786) is the least.
**Answer**: 1.2786 × 10^4
3. To express the numbers 654,987,034; 645,897,430; and 546,789,340 in scientific notation:
- 654,987,034 = 6.54987034 × 10^8
- 645,897,430 = 6.45897430 × 10^8
- 546,789,340 = 5.46789340 × 10^8
Comparing the coefficients, 6.54987034 is the greatest.
**Answer**: 6.54987034 × 10^8
4. Comparing 0.0000635 and 0.000456 in a similar scale, express both in scientific notation:
- 0.0000635 = 6.35 × 10^-5
- 0.000456 = 4.56 × 10^-4
Since 10^-4 is greater than 10^-5, we have:
**Answer**: 0.0000635 < 0.000456
5. Comparing 5 × 10^(-11) and 3 × 10^(-11):
- The coefficients are 5 and 3, with the same exponent of -11.
Since 5 is greater than 3, we have:
**Answer**: 5 × 10^(-11) > 3 × 10^(-11)
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