convert the following numbers given in scientific notation to usual form .
(1). 6.39×10^-4
(2). 3.275×10^2
Answers
Question:- Express the following numbers in usual form. (i) 3.02 × 10^(−6) (ii) 4.5 × 10^4 (iii) 3 × 10^(−8) (iv) 1.0001 × 10^9 (v) 5.8 × 10^12 (vi) 3.61492 × 10^6
Answer
A number expressed in the form of k × 10ⁿ, where k is a terminating decimal such that 1 ≤ k <10 and n is any Integer , is said to be in scientific notation or standard form of notation.
In standard exponential notation, the number is always written with only one digit to the left of the decimal.
If the decimal point moves to the left or the number is large, add the number of places the decimal move to the current exponent of ten.
If the decimal point moves to the right or the number is small, subtract the number of places the decimal moves from the current exponent of ten.
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Solution:
i)
3.02 x 10^-6 = 0.00000302
ii)
4.5 x 10^4 =45000
iii)
3 x 10^-8 = 0.00000003
iv)
1.0001 x 10^9 =1000100000
v)
5.8 x 10^12 =5800000000000
vi)
3.61492 x 10^6 =3614920