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)
A. 12,920,370,000
B. 1.345763334 × 10^9
C.1.2740876635 × 10^10
D.1.292037 × 10^10

Answer 1

To compare the numbers using scientific notation, we first convert each of them:

1. **12,740,876,635** can be written as \( 1.2740876635 \times 10^{10} \).
2. **1,345,763,334** can be written as \( 1.345763334 \times 10^{9} \).
3. **12,920,370,000** can be written as \( 1.292037 \times 10^{10} \).

Now we have the numbers in scientific notation:

- \( A = 12,920,370,000 \) -> \( D = 1.292037 \times 10^{10} \)
- \( B = 1.345763334 \times 10^{9} \)
- \( C = 1.2740876635 \times 10^{10} \)

Now, let's compare the values:

- \( D = 1.292037 \times 10^{10} \) (which is approximately 12,920,370,000)
- \( C = 1.2740876635 \times 10^{10} \) (which is approximately 12,740,876,635)
- \( B = 1.345763334 \times 10^{9} \) (which is significantly less than the other two values)

Comparing \( D \) and \( C \):
- \( 1.292037 \times 10^{10} \) (D) is greater than \( 1.2740876635 \times 10^{10} \) (C).

Thus, the number with the greatest value is represented by:

**A. 12,920,370,000** (which corresponds to D: \( 1.292037 \times 10^{10} \)).