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In scientific notation there are two parts:
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The first part contains the number. It has one number to the left of the decimal point
and all the others numbers are to the right of the decimal point.
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The second part is the exponentiated number 10 and the sign of the exponent tells you which
way to move the decimal point to get back to the original number. A minus sign on the
exponent tells you to move the decimal point to the left. A plus sign tells you to move
the decimal point to the right. The numerical part of the exponent tells you how many
places to move the decimal point.
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Let's try it on this problem.
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The significant first number in is the 9 and therefore it goes to the left
of the decimal point in the scientific notation form. The number 2 goes to the right of
the decimal point. Therefore, the first part of the scientific notation is 9.2
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The second part of the scientific notation is the number 10 and an exponent. Now we have
to determine the sign of the exponent and the numerical value of the exponent. The sign
will be negative. This indicates that if you start with 9.2 you will have to move the
decimal point to the left to get back to . Notice that if the decimal
point is between the 9 and 2 you have to move it 4 places to the left to get back to . In summary the exponent of 10 will have to be indicating
to move the decimal left four places to get back to the original number.
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The answer, therefore, is .
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Hope this helps you understand some of the features of scientific notation.
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