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: First we’ll understand the scientific notation and how any number can be converted into the form of scientific notation i.e. in the form of $N \times {10^a}$, where $1 \leqslant \left| N \right| < 10$ and ‘a’ is an integer. Using all these we’ll find the scientific notation for 35000000.

Complete step by step answer:

Given data: The number 35000000
Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power.
The form of scientific notation is $N \times {10^a}$, where $1 \leqslant \left| N \right| < 10$ and ‘a’ is an integer
There are some step to make any number into scientific notation i.e.
(1)Move the decimal to the right or left to create a number N, $1 \leqslant \left| N \right| < 10$
(2)Determine the exponent, which is the number of times we moved the decimal, if left then the exponent will be positive, and if right the exponent will be negative.
(3)Put the number in the correct form for scientific notation.
Now using the above method we get as
\[ \Rightarrow 35000000 = 3.5 \times {10^7}\]
Option(B) is correct.

Note: In the above solution we mentioned in the step that the power of 10 depends on whether the decimal is shifted towards the right of left so always keep that in mind as the maximum chances of getting an error is this step only.