To write in scientific notation is necessary to look
1.How many zeroes are in each ofnthe numbers
2. How many ciphers have each number
3. Apply rule of multiplication and division of exponents
Then 1st problem
37,000x 7000
total zeroes are 6
total cipher of each number 5 and 4
Apply rule of multiplication
So then
10^6 x 37x 7 = 259 x 10^ 6
2nd exercise
0.0005/0.003 , 4 in one and 3 in other one
there are 7 zeroes
total cipher numbers are 5 and 4
Apply rule of division
So in rule of division the number of zeros are substracted,and change the sign of the result
THIS IS KEY so then 4-3 = 1.
Changing the sign it gives =-1
Now elevate 10 ^ -1
Now divide ciphers 5/3
Finally multiply both results
5/3 x 10^-1
Now 3rd exercise
400,000x 50,000
This is the same as the first exercise, multiplication
By the way look that there are comas ,,,,, here
so then total zeroes are 5 and 4= 9
number of ciphers are 6 and 5 = 11
Apply rule of multiplication
So then
(10^ 9)x 4x 5= 20x 10^9
Now 4th exercise
( 6 x 10^-8)/ ( 4 x 10^-4)
here there are 8 zeroes at numerator and 4 zeroes at denominator
Apply law of division of exponents
10^-8/ 10^-4= 10^ (-8- (-4)) = 10^ ( -4)
now divide 6/4 = 1.5
Finally multiply both results. 1.5 x 10^-4