Question
Write 3652.71 in scientific notation.
Answer
$$ 3652.71 = 3.65271\cdot 10^{3} $$
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).
3.652.71
Step 2: We moved the decimal point 3 spaces to the right. Therefore, the exponent on base 10 will be positive 3.Now we know that the:
Mantissa = 3.65271
Exponent = 3
So, the solution is:
$$3652.71 = \color{blue}{ 3.65271} \cdot 10^{ \color{red}{ 3 }}$$This page was created using
Scientific notation Calculator