How do I convert scientific notation to decimal?

1 Answer
Oct 11, 2014

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