To compare the given numbers using scientific notation, we can convert each number as follows:
-
12,740,876,635 can be written in scientific notation as: \[ 1.2740876635 \times 10^{10} \]
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1,345,763,334 can be written in scientific notation as: \[ 1.345763334 \times 10^{9} \]
-
12,920,370,000 can be written in scientific notation as: \[ 1.292037 \times 10^{10} \]
Now we can compare these numbers:
- \(1.2740876635 \times 10^{10}\) (which is approximately 12,740,876,635)
- \(1.345763334 \times 10^{9}\) (which is approximately 1,345,763,334)
- \(1.292037 \times 10^{10}\) (which is approximately 12,920,370,000)
Since \(1.345763334 \times 10^{9}\) is clearly smaller than both \(1.2740876635 \times 10^{10}\) and \(1.292037 \times 10^{10}\), we only need to compare the first two scientific notations with the same power of ten:
1.2740876635 \( \text{(10}^{10})\)
and
1.292037 \( \text{(10}^{10})\)
Since \(1.292037 > 1.2740876635\), we can conclude that:
- The greatest value of the numbers is \(12,920,370,000\) which can be expressed as \(1.292037 \times 10^{10}\).
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