Question
Use scientific notation to compare these numbers 12, 740, 876, 635; next one, 345, 763, 334 nest 12, 920, 370, 000 which has the greatest value Would it be 1.345 U 334×10 to the power of nine or 1.2740876635×10 with the power of 10 or 12, 920, 370, 000 or one, 29037×10 to the power of 10
Answers
Answered by
GPT-4o mini
To compare the numbers using scientific notation, we first need to convert each number into scientific notation.
1. **12,740,876,635** in scientific notation:
- Move the decimal point 10 places to the left:
- \( 12,740,876,635 = 1.2740876635 \times 10^{10} \)
2. **345,763,334** in scientific notation:
- Move the decimal point 8 places to the left:
- \( 345,763,334 = 3.45763334 \times 10^8 \)
3. **12,920,370,000** in scientific notation:
- Move the decimal point 10 places to the left:
- \( 12,920,370,000 = 1.292037 \times 10^{10} \)
Now we can compare these numbers:
- **1.2740876635 × 10^10**
- **3.45763334 × 10^8**
- **1.292037 × 10^10**
To compare them, we can already see that the two numbers in \( 10^{10} \) form will be larger than the one in \( 10^{8} \).
Next, we compare the two numbers that are in \( 10^{10} \):
- **1.2740876635 × 10^{10}**
- **1.292037 × 10^{10}**
Since \( 1.292037 > 1.2740876635 \), we conclude that **1.292037 × 10^{10}** (which is equivalent to **12,920,370,000**) is the largest number.
Therefore, the greatest value among the three numbers is **12,920,370,000** or **1.292037 × 10^{10}**.
1. **12,740,876,635** in scientific notation:
- Move the decimal point 10 places to the left:
- \( 12,740,876,635 = 1.2740876635 \times 10^{10} \)
2. **345,763,334** in scientific notation:
- Move the decimal point 8 places to the left:
- \( 345,763,334 = 3.45763334 \times 10^8 \)
3. **12,920,370,000** in scientific notation:
- Move the decimal point 10 places to the left:
- \( 12,920,370,000 = 1.292037 \times 10^{10} \)
Now we can compare these numbers:
- **1.2740876635 × 10^10**
- **3.45763334 × 10^8**
- **1.292037 × 10^10**
To compare them, we can already see that the two numbers in \( 10^{10} \) form will be larger than the one in \( 10^{8} \).
Next, we compare the two numbers that are in \( 10^{10} \):
- **1.2740876635 × 10^{10}**
- **1.292037 × 10^{10}**
Since \( 1.292037 > 1.2740876635 \), we conclude that **1.292037 × 10^{10}** (which is equivalent to **12,920,370,000**) is the largest number.
Therefore, the greatest value among the three numbers is **12,920,370,000** or **1.292037 × 10^{10}**.
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