Question
1. Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)%0D%0AResponses%0D%0A%0D%0A4.36765 ×105%0D%0A4.36765 times 10 superscript 5 baseline%0D%0A%0D%0A3.64879 ×105%0D%0A3.64879 times 10 superscript 5 baseline%0D%0A%0D%0A364,879%0D%0A364,879%0D%0A%0D%0A4.63 ×105
2. Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?(1 point)%0D%0AResponses%0D%0A%0D%0A1.2740876635×1010%0D%0A1.2740876635 times 10 superscript 10 baseline%0D%0A%0D%0A1.345763334×109%0D%0A1.345763334 times 10 superscript 9 baseline%0D%0A%0D%0A1.292037×1010%0D%0A1.292037 times 10 superscript 10 baseline%0D%0A%0D%0A12,920,370,000
3. Compare 7.6 × 10−25 and 6.7 × 10−52. Which statement is true?(1 point)%0D%0AResponses%0D%0A%0D%0A7.6 × 10−25 = 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline equals 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 > 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 ≤ 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 < 6.7 × 10−52
4. Which set of numbers is arranged in descending order?(1 point)%0D%0AResponses%0D%0A%0D%0A7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30%0D%0A7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline%0D%0A%0D%0A7.2 × 10−30, 7 × 10−30, 7.6 × 10−25, 7.2 × 10−25%0D%0A7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline%0D%0A%0D%0A7.6 × 10−25, 7.2 × 10−30, 7.2 × 10−25, 7 × 10−30%0D%0A7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7 times 10 Superscript negative 30 Baseline%0D%0A%0D%0A7 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−25
5. In which set are the numbers arranged in ascending order?(1 point)%0D%0AResponses%0D%0A%0D%0A0.00125, 0.00225, 0.000325, 0.00325%0D%0A0.00125, 0.00225, 0.000325, 0.00325%0D%0A%0D%0A0.000325, 0.00225, 0.00125, 0.00325%0D%0A0.000325, 0.00225, 0.00125, 0.00325%0D%0A%0D%0A3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3%0D%0A3.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline%0D%0A%0D%0A3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3
2. Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?(1 point)%0D%0AResponses%0D%0A%0D%0A1.2740876635×1010%0D%0A1.2740876635 times 10 superscript 10 baseline%0D%0A%0D%0A1.345763334×109%0D%0A1.345763334 times 10 superscript 9 baseline%0D%0A%0D%0A1.292037×1010%0D%0A1.292037 times 10 superscript 10 baseline%0D%0A%0D%0A12,920,370,000
3. Compare 7.6 × 10−25 and 6.7 × 10−52. Which statement is true?(1 point)%0D%0AResponses%0D%0A%0D%0A7.6 × 10−25 = 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline equals 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 > 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 ≤ 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 < 6.7 × 10−52
4. Which set of numbers is arranged in descending order?(1 point)%0D%0AResponses%0D%0A%0D%0A7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30%0D%0A7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline%0D%0A%0D%0A7.2 × 10−30, 7 × 10−30, 7.6 × 10−25, 7.2 × 10−25%0D%0A7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline%0D%0A%0D%0A7.6 × 10−25, 7.2 × 10−30, 7.2 × 10−25, 7 × 10−30%0D%0A7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7 times 10 Superscript negative 30 Baseline%0D%0A%0D%0A7 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−25
5. In which set are the numbers arranged in ascending order?(1 point)%0D%0AResponses%0D%0A%0D%0A0.00125, 0.00225, 0.000325, 0.00325%0D%0A0.00125, 0.00225, 0.000325, 0.00325%0D%0A%0D%0A0.000325, 0.00225, 0.00125, 0.00325%0D%0A0.000325, 0.00225, 0.00125, 0.00325%0D%0A%0D%0A3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3%0D%0A3.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline%0D%0A%0D%0A3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3
Answers
Answer
1 is 3.64879 ×10^5
2. 1.292037×10^10
5. 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
bye!
2. 1.292037×10^10
5. 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
bye!
Answered by
GPT-4o mini
Let's break down each question and calculate the answers step by step.
### 1. Compare 364,879; 463,000; and 436,765 using scientific notation.
- **364,879** in scientific notation is **3.64879 × 10^5**
- **463,000** in scientific notation is **4.63 × 10^5** (or **4.63000 × 10^5** for more precision)
- **436,765** in scientific notation is **4.36765 × 10^5**
To compare them:
- **3.64879 × 10^5**
- **4.36765 × 10^5**
- **4.63 × 10^5**
The number with the least value is **3.64879 × 10^5**, which corresponds to **364,879**.
**Answer:** 364,879
---
### 2. Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000.
- **12,740,876,635** in scientific notation is **1.2740876635 × 10^10**
- **1,345,763,334** in scientific notation is **1.345763334 × 10^9** (which can also be written as **0.1345763334 × 10^10**)
- **12,920,370,000** in scientific notation is **1.292037 × 10^10**
Now comparing:
- **1.2740876635 × 10^10**
- **0.1345763334 × 10^10**
- **1.292037 × 10^10**
The greatest value is **1.292037 × 10^10**, which corresponds to **12,920,370,000**.
**Answer:** 12,920,370,000
---
### 3. Compare 7.6 × 10−25 and 6.7 × 10−52.
To compare these:
- **7.6 × 10^−25**: Since the exponent is more negative, the term represents a larger negative number.
- **6.7 × 10^−52**: This is much smaller than **7.6 × 10^−25** due to the larger negative exponent.
Thus:
**7.6 × 10−25 > 6.7 × 10−52**
**Answer:** 7.6 × 10−25 > 6.7 × 10−52
---
### 4. Which set of numbers is arranged in descending order?
Given the numbers:
- **7.6 × 10−25**
- **7.2 × 10−25**
- **7.2 × 10−30**
- **7 × 10−30**
Descending order would have the largest values first. Here’s the comparison:
- **7.6 × 10−25**
- **7.2 × 10−25**
- **7.2 × 10−30**
- **7 × 10−30**
The proper descending order is:
**7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30**
So the correct rearrangement is:
**Answer:** 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
---
### 5. In which set are the numbers arranged in ascending order?
Given the numbers:
- **0.00125**
- **0.00225**
- **0.000325**
- **0.00325**
To arrange them in ascending order:
- **0.000325**
- **0.00125**
- **0.00225**
- **0.00325**
So the correct arrangement in ascending order is:
**0.000325, 0.00125, 0.00225, 0.00325**
**Answer:** 0.000325, 0.00225, 0.00125, 0.00325
In conclusion, here are the answers succinctly again:
1. 364,879
2. 12,920,370,000
3. 7.6 × 10−25 > 6.7 × 10−52
4. 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
5. 0.000325, 0.00125, 0.00225, 0.00325
### 1. Compare 364,879; 463,000; and 436,765 using scientific notation.
- **364,879** in scientific notation is **3.64879 × 10^5**
- **463,000** in scientific notation is **4.63 × 10^5** (or **4.63000 × 10^5** for more precision)
- **436,765** in scientific notation is **4.36765 × 10^5**
To compare them:
- **3.64879 × 10^5**
- **4.36765 × 10^5**
- **4.63 × 10^5**
The number with the least value is **3.64879 × 10^5**, which corresponds to **364,879**.
**Answer:** 364,879
---
### 2. Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000.
- **12,740,876,635** in scientific notation is **1.2740876635 × 10^10**
- **1,345,763,334** in scientific notation is **1.345763334 × 10^9** (which can also be written as **0.1345763334 × 10^10**)
- **12,920,370,000** in scientific notation is **1.292037 × 10^10**
Now comparing:
- **1.2740876635 × 10^10**
- **0.1345763334 × 10^10**
- **1.292037 × 10^10**
The greatest value is **1.292037 × 10^10**, which corresponds to **12,920,370,000**.
**Answer:** 12,920,370,000
---
### 3. Compare 7.6 × 10−25 and 6.7 × 10−52.
To compare these:
- **7.6 × 10^−25**: Since the exponent is more negative, the term represents a larger negative number.
- **6.7 × 10^−52**: This is much smaller than **7.6 × 10^−25** due to the larger negative exponent.
Thus:
**7.6 × 10−25 > 6.7 × 10−52**
**Answer:** 7.6 × 10−25 > 6.7 × 10−52
---
### 4. Which set of numbers is arranged in descending order?
Given the numbers:
- **7.6 × 10−25**
- **7.2 × 10−25**
- **7.2 × 10−30**
- **7 × 10−30**
Descending order would have the largest values first. Here’s the comparison:
- **7.6 × 10−25**
- **7.2 × 10−25**
- **7.2 × 10−30**
- **7 × 10−30**
The proper descending order is:
**7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30**
So the correct rearrangement is:
**Answer:** 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
---
### 5. In which set are the numbers arranged in ascending order?
Given the numbers:
- **0.00125**
- **0.00225**
- **0.000325**
- **0.00325**
To arrange them in ascending order:
- **0.000325**
- **0.00125**
- **0.00225**
- **0.00325**
So the correct arrangement in ascending order is:
**0.000325, 0.00125, 0.00225, 0.00325**
**Answer:** 0.000325, 0.00225, 0.00125, 0.00325
In conclusion, here are the answers succinctly again:
1. 364,879
2. 12,920,370,000
3. 7.6 × 10−25 > 6.7 × 10−52
4. 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
5. 0.000325, 0.00125, 0.00225, 0.00325
Answered by
GPT-4o mini
Thank you for your responses! Here’s a quick recap of what you provided:
1. **3.64879 × 10^5** (the least value)
2. **1.292037 × 10^10** (the greatest value)
5. **3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3** (in ascending order)
If you have any more questions or need further assistance in the future, feel free to reach out. Goodbye and take care!
1. **3.64879 × 10^5** (the least value)
2. **1.292037 × 10^10** (the greatest value)
5. **3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3** (in ascending order)
If you have any more questions or need further assistance in the future, feel free to reach out. Goodbye and take care!
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