Here are steps to help you to represent a number in scientific form:
(i) Move the decimal point so that there is only one non-zero digit to its left.
(ii) Count the number of digits between the old and new decimal point. This gives ‘n’, the power of 10.
(iii) If the decimal is shift ed to the left , the exponent n is positive. If the decimal is shift ed to the right, the exponent n is negative
Expressing a number N in the form of N = a × 10^{n} where, 1 ≤ a < 10 and ‘n’ is an integer is called as Scientific Notation.
Example 1 :
Represent the following numbers in the scientific notation:
(i) 569430000000
Solution :
Since we have decimal point at the last place, we have to move the decimal to the left side 11 digits.
5.6943 x 10^{11}
(ii) 2000.57
Solution :
We are going to move the decimal point 3 digits towards the left.
2.00057 x 10^{3}
(iii) 0.0000006000
Solution :
We are going to move the decimal point 7 digits to the right side. So the power of 10 will have negative sign.
6.000 x 10^{-7}
Hence the answer is 6.0 x 10^{-7}
(iv) 0.0009000002
Solution :
Since the decimal point is going to be moved towards right side, the power of 10 will have negative sing.
9.000002 x 10^{-4}
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