(Easy 10 points) Is 6.28 x 10-27 g is smaller that 4.5 x 10-22 mg
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(Easy 10 points) Is 6.28 x 10-27 g is smaller that 4.5 x 10-22 mg

[From: ] [author: ] [Date: 11-06-13] [Hit: ]
..Since both numbers are decimals, the one with more 0s is smaller.Since the scientific notation is to a larger negative number, it is smaller.......
Please give a little detail so I can understand. 10 points to best answer. Thanks!

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Convert one to the other:

6.28 x 10-27 g times (10^3 mg / g) = 6.28 x 10-24 mg

6.28 x 10-24 mg is smaller than 4.5 x 10-22 mg

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Yes.
When converted out of scientific notation, the numbers are:
.000 000 000 000 000 000 000 006 28 mg
.000 000 000 000 000 000 000 45 mg
Since both numbers are decimals, the one with more 0s is smaller.
Since the scientific notation is to a larger negative number, it is smaller.
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