First, observe what happens when a particular number is multiplied or divided by multiples of 10.

#123.45 * 10 = 1234.5# Decimal place moved by 1 place to the right

#123.45 * 100 = 12345# Decimal place moved by 2 places to the right

#123.45 * 10000 = 1234500# Decimal place moved by 4 places to the right

#67.89 * 1/10 = 6.789# Decimal place moved by 1 place to the left

#67.89 * 1/100 = 0.6789# Decimal place moved by 2 places to the left

#67.89 * 1/10000 = 0.6789# Decimal place moved by 4 places to the left

Remember that a number's multiples can also be expressed exponential form

#1 = 10^0#

#10 = 10^1#

#100 = 10^2#

#10000 = 10^4#

#1/10 = 10^-1#

#1/100 = 10^-2#

#1/10000 = 10^-4#

A number in scientific notation form is in the form

#A * 10^b#

where #A# is a rational number in decimal form.

To convert to a number in scientific notation form,

move the decimal place by #b# places. If #b# is negative, move to the left. If #b# is positive, move to the right