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)

Question

Responses

3.47866×107
3.47866 times 10 superscript 7 baseline

3.47866×106
3.47866 times 10 superscript 6 baseline

34,870,000
34,870,000

3.487×10^7

Answer 1

To compare the numbers using scientific notation, let's convert them all into that format:

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, let's compare the scientific notations:

• For 3,478,660: \(3.47866 \times 10^6\)
• For 34,870,000: \(3.487 \times 10^7\)
• For 34,786,600: \(3.47866 \times 10^7\)

Since \(10^7\) is larger than \(10^6\), both \(34,870,000\) and \(34,786,600\) are larger than \(3,478,660\).

Now we can compare \(34,870,000\) and \(34,786,600\):

• \(3.487 \times 10^7\) (34,870,000)
• \(3.47866 \times 10^7\) (34,786,600)

Since \(3.487 > 3.47866\), it is clear that:

34,870,000 has the greatest value among the three numbers.