Question
Write 205303186613.42 in scientific notation.
Answer
$$ 205303186613.42 = 2.0530318661342\cdot 10^{11} $$
Explanation
Step 1: Move the decimal point from its current position (the black dot) to a position immediately to the right of the first nonzero digit (the red dot).
2.05303186613.42
Step 2: We moved the decimal point 11 spaces to the right. Therefore, the exponent on base 10 will be positive 11.Now we know that the:
Mantissa = 2.0530318661342
Exponent = 11
So, the solution is:
$$205303186613.42 = \color{blue}{ 2.0530318661342} \cdot 10^{ \color{red}{ 11 }}$$This page was created using
Scientific notation Calculator