0.225
First we note that there are 3 decimal place. So place the decimal over '1.000'; note the three zeroes.
Hence
0.225/1.000
Cancel down the decimal point
0225/1000
Drop the prefix 'zero'.
225/1000
We note that that both the numerator and denominator end in '0' & '5' , so it will cancel down by '5'
Hence
225/1000 = 45/200
Similarly
45/200 = 9/40
Since there are no common factors between '9' & '40' , the fraction will not cancel down any further . So
0.225 = 9/40
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204500 = 2.045 x 10^5
Well since 142 is too big for Scientific notation, we would make it into a number above 1 and less than 10. So to do this, we would take 142 and slide the decimal over 2 places to the left, making it 1.42. So since we made moved it over to the left 2 places, we need to put it in scientific notation. Since we are moving the decimal to the left, we need to make it 102. Then the finished equation would be 1.42x102.
It is: 5.42*10-4 = 0.000542 by moving the decimal point 4 places to the left
When you add numbers in scientific notation, it is best to convert them to their original decimal form, or at least change them so that they have the same exponent. Then when you are finished adding, simply put the solution is proper scientific notation.
Put .05/1 move decimal places all the way right to whole numbers 5/100 factor out a five 1/20 ------------------the fractional equivalent of 0.05