100,000 = 105
Decimal point is moved 5 places to the LEFT; the
exponent is a POSITIVE 5.
Decimal point is moved 3 places to RIGHT; the
.001 = 10-3
exponent is a NEGATIVE 3.
Study the following problem on SCIENTIFIC NOTATION, rounded off to 3 significant digits.
636.42 = ___________________________
Converting a whole number to SCIENTIFIC NOTATION (a
number between 1 and 10 times a power of ten) is done by
moving the decimal point LEFT from its position in the
original number to a new position which will be immediately
following the first significant digit, giving you a POSITIVE
power of 10.
Count the number of places you moved the decimal point to
the LEFT in the original number to its new position following
the first significant number. This will give you the proper
exponent for your POSITIVE power of 10.
Thus: Original number
notation, but NOT
rounded off to 3
636.42 = 6.3642 X 102 = 6.36 X 102