To compare the numbers using scientific notation, we first convert each number to scientific notation:
-
12,740,876,635
- This can be expressed as \(1.2740876635 \times 10^{10}\).
-
1,345,763,334
- This can be expressed as \(1.345763334 \times 10^9\).
-
12,920,370,000
- This can be expressed as \(1.292037 \times 10^{10}\).
Now, let's summarize them in scientific notation:
- \(12,740,876,635 = 1.2740876635 \times 10^{10}\)
- \(1,345,763,334 = 1.345763334 \times 10^{9}\)
- \(12,920,370,000 = 1.292037 \times 10^{10}\)
Next, we compare their exponents and coefficients:
- The first number: \(1.2740876635 \times 10^{10}\) has an exponent of \(10\).
- The second number: \(1.345763334 \times 10^{9}\) has an exponent of \(9\), which means it is smaller than both others.
- The third number: \(1.292037 \times 10^{10}\) also has an exponent of \(10\).
Now, we only need to compare \(1.2740876635\) and \(1.292037\):
- \(1.2740876635 < 1.292037\)
Thus, among the numbers:
- \(12,740,876,635 (1.2740876635 \times 10^{10})\) is less than \(12,920,370,000 (1.292037 \times 10^{10})\).
- Finally, \(1,345,763,334 (1.345763334 \times 10^{9})\) is the smallest because its exponent is \(9\).
The greatest value among the three numbers is 12,920,370,000.