Question
Write 0.000005100 in scientific notation.
Answer
$$ 0.000005100 = 5.1\cdot 10^{-6} $$
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).
0.000005.100
Step 2: We moved the decimal point 6 spaces to the left. Therefore, the exponent on base 10 will be negative 6.Now we know that the:
Mantissa = 5.100 (which can be written as 5.1 )
Exponent = -6
So, the solution is:
$$0.000005100 = \color{blue}{ 5.1} \cdot 10^{ \color{red}{ -6 }}$$This page was created using
Scientific notation Calculator