Question

Question Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?(1 point) Responses 12,920,370,000 12,920,370,000 1.2740876635×1010 1.2740876635 times 10 superscript 10 baseline 1.345763334×109 1.345763334 times 10 superscript 9 baseline 1.292037×1010

Answer 1

To compare the numbers using scientific notation, we first convert each number to scientific notation:

1. **12,740,876,635**
- This can be expressed as \(1.2740876635 \times 10^{10}\).

2. **1,345,763,334**
- This can be expressed as \(1.345763334 \times 10^9\).

3. **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**.