Question

The scientific notation of 35000000 is:
a) $35 \times 10^7$
b) $3.5 \times 10^7$
c) $0.35 \times 10^8$
d) $3.5 \times 10^8$

Answer 1

Hint: A number written in scientific notation has the form: $a \times 10^n$ where, $1 \leq a < 10$ and n is an integer.

Complete step-by-step answer:
We have to write 35000000 in standard notations.
If we remove all the zeros from the end of the number, then the number becomes $35 \times 10^6$.
As in standard notation, before decimal, we can have only one digit, thus, moving the decimal backwards, we get,
$35000000=3.5 \times 10^7$
This is the required standard notation of the given number.
Hence, option b is correct.

Note: Scientific notation is a way of writing very large and small numbers so that scientific computations on them become easier. Scientific notations are mostly used by scientists and engineers to make their work easy. In scientific notations, operations like multiplication, addition, etc. can be easily performed by grouping the terms and using law of exponents. Also, they are easier to remember.