Mathematics 38 Online
OpenStudy (anonymous):

Write the number in scientific notation. a) 0.000209 b) 7,600,000,000,000

OpenStudy (saifoo.khan):

2.09 x 10^-4

OpenStudy (saifoo.khan):

7.6 x 10^12

OpenStudy (anonymous):

see the aim is to bring one non zero number before the decimal point and then see how it is to be done say for a) 0.000209 if we shift the zero to the right so that it comes after 2 to give us 2.09 then we get the scientific notation. then we count the number of places it was shifted to the right ie. 4 decimal places so it becomes 2.09 x 10^-4

OpenStudy (anonymous):

for b) 7,600,000,000,000 = 7,600,000,000,000.0 here you have to shift the decimal TO THE LEFT by 12 places to get 7.6 so we say its scientific notation is 7.6 x 10^12

OpenStudy (anonymous):

NOTE : When decimal is shifted to the right, the power of 10 is negative and when the decimal is shifted to the left, the power of 10 is positive

OpenStudy (anonymous):

so now you tell me the scientific form of 0.0000605