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 pont)

1.292637 * 10 ^ 10

1.345763334 * 10 ^ 3

12,920,370,000

1.2740876435 * 10 ^ 103

Answer 1

Let's convert each number to scientific notation for comparison:

1. **12,740,876:**
\[
12,740,876 = 1.2740876 \times 10^7
\]

2. **635:**
\[
635 = 6.35 \times 10^2
\]

3. **1,345,763,334:**
\[
1,345,763,334 = 1.345763334 \times 10^9
\]

4. **12,920,370,000:**
\[
12,920,370,000 = 1.292037 \times 10^{10}
\]

Now we have:

- \( 1.2740876 \times 10^7 \) for 12,740,876
- \( 6.35 \times 10^2 \) for 635
- \( 1.345763334 \times 10^9 \) for 1,345,763,334
- \( 1.292037 \times 10^{10} \) for 12,920,370,000

Next, we compare the \( 10^n \) values:
- \( 1.2740876 \times 10^7 \) (7)
- \( 6.35 \times 10^2 \) (2)
- \( 1.345763334 \times 10^9 \) (9)
- \( 1.292037 \times 10^{10} \) (10)

Since \( 10^{10} \) is the largest exponent, we can conclude that

\[
12,920,370,000 \text{ is the greatest value.}
\]