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 can be written as: \[ 1.2740876635 \times 10^{10} \]
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1,345,763,334 can be written as: \[ 1.345763334 \times 10^{9} \]
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12,920,370,000 can be written as: \[ 1.292037 \times 10^{10} \]
Now we compare the scientific notations:
- \( 1.2740876635 \times 10^{10} \) (for 12,740,876,635)
- \( 1.345763334 \times 10^{9} \) (for 1,345,763,334) which is significantly smaller since it is multiplied by \( 10^{9} \)
- \( 1.292037 \times 10^{10} \) (for 12,920,370,000)
To compare the first and third numbers both of which are in \( 10^{10} \):
- \( 1.2740876635 < 1.292037 \) This means \( 12,740,876,635 < 12,920,370,000 \).
Thus, when we compare the values:
- \( 1.345763334 \times 10^{9} \) is obviously the smallest, and since it is in the order of \( 10^{9} \), it confirms its lesser value.
- Between \( 12,740,876,635 \) and \( 12,920,370,000 \), the latter is larger.
Therefore, the number with the greatest value is 12,920,370,000.
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