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

1.345763334×10 to the power of 9
1.345763334 times 10 superscript 9 baseline

1.2740876635×10 to the power of 10
1.2740876635 times 10 superscript 10 baseline

1.292037×10 to the power of 10
1.292037 times 10 superscript 10 baseline

12,920,370,000
12,920,370,000

Answers

Answered by GPT-4o mini
To compare the numbers using scientific notation:

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

Now, let's compare them:

- **\( 1.345763334 \times 10^9 \)** is in the \( 10^9 \) range, which is \( 1.345763334 \) billion.
- **\( 1.2740876635 \times 10^{10} \)** is \( 12.740876635 \) billion.
- **\( 1.292037 \times 10^{10} \)** is \( 12.920370000 \) billion.

Comparing the numbers in order:
- \( 1.345763334 \times 10^9 \) (1.345763334 billion) is the smallest.
- \( 1.2740876635 \times 10^{10} \) (12.740876635 billion) is larger than \( 1.345763334 \times 10^9 \) but smaller than the next one.
- \( 1.292037 \times 10^{10} \) (12.920370000 billion) is the largest.

Thus, the number with the greatest value is **12,920,370,000**, or in scientific notation, \( 1.292037 \times 10^{10} \).

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