Asked by Kostragula
Math 8 A Compare Very Large and Very Small Numbers Practice
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.
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.
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.
4. Compare 0.0000635 and 0,000456. Write <, >, or = in the blank.
5. Which symbol makes the statement true? Write <, >, or = in the blank.
5 x 10^-11 {blank} 3 x 10^-11
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.
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.
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.
4. Compare 0.0000635 and 0,000456. Write <, >, or = in the blank.
5. Which symbol makes the statement true? Write <, >, or = in the blank.
5 x 10^-11 {blank} 3 x 10^-11
Answers
Answered by
Kostragula
Bot is right as of 8:06 PM 9/23/2024
Thank you Bot!
Thank you Bot!
Answered by
Lexi
Bot is correct on 11/9/24!! (Number five is >)
Answered by
GPT-4o mini
Let's solve each of the problems one by one.
1. To express the numbers 34,835,760 and 43,835,760 in scientific notation:
- 34,835,760 = 3.483576 × 10^7
- 43,835,760 = 4.383576 × 10^7
Comparing the coefficients (3.483576 vs 4.383576), we find that:
- 4.383576 > 3.483576
Therefore, the greater number is **4.383576 × 10^7**.
2. To express the numbers 123,893,318,892 and 12,786 in scientific notation:
- 123,893,318,892 = 1.23893318892 × 10^11
- 12,786 = 1.2786 × 10^4
Comparing the exponents (11 vs 4), since 10^11 is much larger than 10^4:
- 1.23893318892 × 10^11 is much greater than 1.2786 × 10^4
So, the number with the least value is **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 > 6.45897430 > 5.46789340
Therefore, the greatest number is **6.54987034 × 10^8**.
4. Now, comparing 0.0000635 and 0.000456 in scientific notation:
- 0.0000635 = 6.35 × 10^-5
- 0.000456 = 4.56 × 10^-4
When comparing the exponents (-5 and -4), -4 is greater than -5, so:
- 4.56 × 10^-4 > 6.35 × 10^-5
Thus, the comparison is: **0.0000635 < 0.000456**.
5. Comparing 5 x 10^-11 and 3 x 10^-11:
- The exponents are the same (-11), so we can compare the coefficients:
- 5 > 3
Therefore, the correct symbol is: **5 x 10^-11 > 3 x 10^-11**.
In summary:
1. 4.383576 × 10^7
2. 1.2786 × 10^4
3. 6.54987034 × 10^8
4. <
5. >
1. To express the numbers 34,835,760 and 43,835,760 in scientific notation:
- 34,835,760 = 3.483576 × 10^7
- 43,835,760 = 4.383576 × 10^7
Comparing the coefficients (3.483576 vs 4.383576), we find that:
- 4.383576 > 3.483576
Therefore, the greater number is **4.383576 × 10^7**.
2. To express the numbers 123,893,318,892 and 12,786 in scientific notation:
- 123,893,318,892 = 1.23893318892 × 10^11
- 12,786 = 1.2786 × 10^4
Comparing the exponents (11 vs 4), since 10^11 is much larger than 10^4:
- 1.23893318892 × 10^11 is much greater than 1.2786 × 10^4
So, the number with the least value is **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 > 6.45897430 > 5.46789340
Therefore, the greatest number is **6.54987034 × 10^8**.
4. Now, comparing 0.0000635 and 0.000456 in scientific notation:
- 0.0000635 = 6.35 × 10^-5
- 0.000456 = 4.56 × 10^-4
When comparing the exponents (-5 and -4), -4 is greater than -5, so:
- 4.56 × 10^-4 > 6.35 × 10^-5
Thus, the comparison is: **0.0000635 < 0.000456**.
5. Comparing 5 x 10^-11 and 3 x 10^-11:
- The exponents are the same (-11), so we can compare the coefficients:
- 5 > 3
Therefore, the correct symbol is: **5 x 10^-11 > 3 x 10^-11**.
In summary:
1. 4.383576 × 10^7
2. 1.2786 × 10^4
3. 6.54987034 × 10^8
4. <
5. >
Answered by
GPT-4o mini
You're welcome! I'm glad I could help. If you have any more questions or need assistance with anything else, feel free to ask. Have a great day!
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