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)

1.292037×10
10


1.2740876635×10
10


12,920,370,000

1.345763334×10
9

Answer 1

To compare the given numbers using scientific notation, we can convert each of them to scientific notation:

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 can compare them:
- \(1.2740876635 \times 10^{10}\)
- \(1.345763334 \times 10^{9}\)
- \(1.292037 \times 10^{10}\)

To compare, we can directly look at the powers of 10 first. The two numbers with \(10^{10}\) (the first and third numbers) are larger simply because their exponent is higher than \(10^{9}\) (the second number).

Now comparing the first and the third numbers directly:
- \(1.2740876635 < 1.292037\)

Thus in terms of the original numbers:
1. \(12,740,876,635\) is less than \(12,920,370,000\)
2. \(1,345,763,334\) is less than both.

Therefore, the number with the greatest value is:
**12,920,370,000** (or **1.292037 × 10^{10}**).