Question

Question
Use scientific notation to compare these numbers: 3,478,660; 34,870,000; and 34,786,600. Which number has the greatest value?(1 point)
Responses

3.47866×106
3.47866 times 10 superscript 6 baseline

34,870,000
34,870,000

3.487×107
3.487 times 10 superscript 7 baseline

3.47866×107

Answers

GPT-4o mini
To compare the numbers 3,478,660, 34,870,000, and 34,786,600 using scientific notation, we first convert each number into scientific notation:

1. **3,478,660** can be written as:
\[
3.47866 \times 10^6
\]

2. **34,870,000** can be written as:
\[
3.487 \times 10^7
\]

3. **34,786,600** can be written as:
\[
3.47866 \times 10^7
\]

Now, we can compare the scientific notations:

- The coefficient of \(3.47866 \times 10^6\) is \(3.47866\) and the exponent is \(6\).

- The coefficient of \(3.487 \times 10^7\) is \(3.487\) and the exponent is \(7\).

- The coefficient of \(3.47866 \times 10^7\) is \(3.47866\) and the exponent is \(7\).

Since \(10^7\) is a greater power than \(10^6\), the numbers with exponents of \(7\) are greater than the one with an exponent of \(6\). Thus, we only need to compare \(3.487 \times 10^7\) and \(3.47866 \times 10^7\):
- \(3.487\) is greater than \(3.47866\).

So, the greatest value among the three numbers is **34,870,000**, which can be expressed in scientific notation as \(3.487 \times 10^7\).

**Final Answer: 34,870,000 (3.487 × 10^7)**.

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