Question

The scientific notation for $ 700 $ is _____

Answer 1

Hint: Scientific notation can be defined as one of the ways of expressing very large numbers by the powers of ten so that the values are more readable and understood easily. The standard form for the scientific notation can be given by $ a \times {10^b} $ where $ \left| a \right| < 10 $ . Here we will first identify the value for term “a” from the first non-zero number to the last non-zero number.

Complete step-by-step answer:
Take the given expression: $ 700 $
Here, first identify the value for “a” which should be less than ten $ (10) $
Now, to find the value for “b”
Count the number of zeros after the non-zero number. The value for b would be the total number of digits in the given number minus one.
Therefore, $ b = 2 $
Now, place the values of “a” and “b” in the standard form $ a \times {10^b} $
 $ \Rightarrow 7 \times {10^2} $
Hence, the scientific notation of $ 700 $ is $ 7 \times {10^2} $
So, the correct answer is “ $ 7 \times {10^2} $ ”.

Note: Be careful while counting the number of zeros. Here since we were having the term as the whole number, we have positive power to the ten. If we were already given the decimal point then the power to the ten would be negative. Always cross-check the answer with the original given number.