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⋅110=6.789 Decimal place moved by 1 place to the left
67.89⋅1100=0.6789 Decimal place moved by 2 places to the left
67.89⋅110000=0.6789 Decimal place moved by 4 places to the left
Remember that a number's multiples can also be expressed exponential form
1=100
10=101
100=102
10000=104
110=10−1
1100=10−2
110000=10−4
A number in scientific notation form is in the form
A⋅10b
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
