If x-1/x = 10, find the value of (x + 1/x)^2. I know that ans is 104 but plz explain how did it come.
Answers
10000 = 1 x 104 24327 = 2.4327 x 104
1000 = 1 x 103 7354 = 7.354 x 103
100 = 1 x 102 482 = 4.82 x 102
10 = 1 x 101 89 = 8.9 x 101 (not usually done)
1 = 100
1/10 = 0.1 = 1 x 10-1 0.32 = 3.2 x 10-1 (not usually done)
1/100 = 0.01 = 1 x 10-2 0.053 = 5.3 x 10-2
1/1000 = 0.001 = 1 x 10-3 0.0078 = 7.8 x 10-3
1/10000 = 0.0001 = 1 x 10-4 0.00044 = 4.4 x 10-4
As you can see, the exponent of 10 is the number of places the decimal point must be shifted to give the number in long form. A positive exponent shows that the decimal point is shifted that number of places to the right. A negative exponent shows that the decimal point is shifted that number of places to the left.
In scientific notation, the digit term indicates the number of significant figures in the number. The exponential term only places the decimal point. As an example,
46600000 = 4.66 x 107
This number only has 3 significant figures. The zeros are not significant; they are only holding a place. As another example,
0.00053 = 5.3 x 10-4