To compare the numbers using scientific notation:
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12,740,876,635 can be represented as: \[ 1.2740876635 \times 10^{10} \]
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1,345,763,334 can be represented as: \[ 1.345763334 \times 10^9 \] To make the comparison easier, convert this to the same power of ten: \[ 1.345763334 \times 10^9 = 0.1345763334 \times 10^{10} \]
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12,920,370,000 can be represented as: \[ 1.292037 \times 10^{10} \]
Now comparing the scientific notations:
- For 12,740,876,635: \( 1.2740876635 \times 10^{10} \)
- For 1,345,763,334: \( 0.1345763334 \times 10^{10} \)
- For 12,920,370,000: \( 1.292037 \times 10^{10} \)
Now we can see that:
- \( 1.2740876635 \times 10^{10} \) (from 12,740,876,635)
- \( 0.1345763334 \times 10^{10} \) (from 1,345,763,334, which is much smaller)
- \( 1.292037 \times 10^{10} \) (from 12,920,370,000)
To find the greatest, we can simply compare the coefficients of those quantities with the same power of ten:
- \(1.2740876635\) (from 12,740,876,635)
- \(0.1345763334\) (from 1,345,763,334)
- \(1.292037\) (from 12,920,370,000)
Clearly, \(1.292037\) is the largest.
Thus, the number with the greatest value is:
12,920,370,000 (which is represented by A. 1.292037 x 10^{10})