Use scientific notation to compare these numbers: 3,478,660; 34,870,000; %0D%0A3%0D%0A,%0D%0A478%0D%0A,%0D%0A660%0D%0A;%0D%0A %0D%0A34%0D%0A,%0D%0A870%0D%0A,%0D%0A000%0D%0A;%0D%0A %0D%0Aand 34,786,600%0D%0A34%0D%0A,%0D%0A786%0D%0A,%0D%0A600%0D%0A. Which number has the greatest value?(1 point)%0D%0AResponses%0D%0A%0D%0A3.47866×106%0D%0A3.47866%0D%0A×%0D%0A10%0D%0A6%0D%0A3 point 4 7 8 6 6 times 10 to the 6th power%0D%0A%0D%0A34,870,000%0D%0A34%0D%0A,%0D%0A870%0D%0A,%0D%0A000%0D%0A34 comma 870 comma 000%0D%0A%0D%0A3.47866×107%0D%0A3.47866%0D%0A×%0D%0A10%0D%0A7%0D%0A3 point 4 7 8 6 6 times 10 to the 7th power%0D%0A%0D%0A3.487×107

Answer 1

To compare the numbers 3,478,660; 34,870,000; and 34,786,600 using scientific notation, we convert each number as follows:

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

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

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

Now, we can compare the numbers based on their scientific notation:

• The number \(3.47866 \times 10^6\) represents \(3,478,660\).
• The numbers \(3.487 \times 10^7\) (which represents \(34,870,000\)) and \(3.47866 \times 10^7\) (which represents \(34,786,600\)) are both represented with \(10^7\), making their base coefficients \(3.487\) and \(3.47866\) significant for comparison.

Comparing \(3.487\) and \(3.47866\):

• \(3.487 > 3.47866\)

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

Conclusion:

34,870,000 (or \(3.487 \times 10^7\)) has the greatest value.