Question
Question
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)
Responses
12,920,370,000
12,920,370,000
1.345763334×109
1.345763334 times 10 superscript 9 baseline
1.292037×1010
1.292037 times 10 superscript 10 baseline
1.2740876635×1010
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)
Responses
12,920,370,000
12,920,370,000
1.345763334×109
1.345763334 times 10 superscript 9 baseline
1.292037×1010
1.292037 times 10 superscript 10 baseline
1.2740876635×1010
Answers
GPT-4o mini
To compare the numbers using scientific notation, we first express each number in scientific notation:
1. **12,740,876,635**:
- In scientific notation: \( 1.2740876635 \times 10^{10} \)
2. **1,345,763,334**:
- In scientific notation: \( 1.345763334 \times 10^{9} \)
3. **12,920,370,000**:
- In scientific notation: \( 1.292037 \times 10^{10} \)
Now we can compare the numbers:
- \(\mathbf{1.2740876635 \times 10^{10}}\) (12,740,876,635)
- \(\mathbf{1.345763334 \times 10^{9}}\) (1,345,763,334)
- \(\mathbf{1.292037 \times 10^{10}}\) (12,920,370,000)
Next, we note the following:
- **Comparing \( 1.345763334 \times 10^{9} \) with the others**:
- Since \( 10^{9} < 10^{10} \), this number is less than the others.
- **Comparing \( 1.2740876635 \times 10^{10} \) and \( 1.292037 \times 10^{10} \)**:
- Here, \( 1.2740876635 < 1.292037 \), so \( 1.2740876635 \times 10^{10} < 1.292037 \times 10^{10} \).
Now we can conclude that:
- **Greatest Value**: \( \mathbf{12,920,370,000} \) (or \( 1.292037 \times 10^{10} \)) is the greatest among the three numbers.
1. **12,740,876,635**:
- In scientific notation: \( 1.2740876635 \times 10^{10} \)
2. **1,345,763,334**:
- In scientific notation: \( 1.345763334 \times 10^{9} \)
3. **12,920,370,000**:
- In scientific notation: \( 1.292037 \times 10^{10} \)
Now we can compare the numbers:
- \(\mathbf{1.2740876635 \times 10^{10}}\) (12,740,876,635)
- \(\mathbf{1.345763334 \times 10^{9}}\) (1,345,763,334)
- \(\mathbf{1.292037 \times 10^{10}}\) (12,920,370,000)
Next, we note the following:
- **Comparing \( 1.345763334 \times 10^{9} \) with the others**:
- Since \( 10^{9} < 10^{10} \), this number is less than the others.
- **Comparing \( 1.2740876635 \times 10^{10} \) and \( 1.292037 \times 10^{10} \)**:
- Here, \( 1.2740876635 < 1.292037 \), so \( 1.2740876635 \times 10^{10} < 1.292037 \times 10^{10} \).
Now we can conclude that:
- **Greatest Value**: \( \mathbf{12,920,370,000} \) (or \( 1.292037 \times 10^{10} \)) is the greatest among the three numbers.