To compare the numbers 12,740,876, 635; 1,345,763,334; and 12,920,370,000 using scientific notation, we first convert each number into scientific notation:
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12,740,876,635: \[ 12,740,876,635 = 1.2740877635 \times 10^{10} \]
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1,345,763,334: \[ 1,345,763,334 = 1.345763334 \times 10^{9} \]
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12,920,370,000: \[ 12,920,370,000 = 1.292037 \times 10^{10} \]
Now, we can compare the numbers in scientific notation:
- \( 12,740,876,635 = 1.2740877635 \times 10^{10} \)
- \( 1,345,763,334 = 1.345763334 \times 10^{9} \) (which is \( 0.1345763334 \times 10^{10} \) if we convert \( 10^9 \) into \( 10^{10} \) for easier comparison)
- \( 12,920,370,000 = 1.292037 \times 10^{10} \)
Now we compare the coefficients (the number in front of \( 10^{10} \)) since they all share the same power of ten:
- \( 1.2740877635 \) (for 12,740,876,635)
- \( 0.1345763334 \) (for 1,345,763,334)
- \( 1.292037 \) (for 12,920,370,000)
The coefficient \( 1.292037 \) is the largest, followed by \( 1.2740877635 \) and then \( 0.1345763334 \).
Thus, the number with the greatest value is 12,920,370,000.