Question
Write 428 in scientific notation.
Answer
$$ 428 = 4.28\cdot 10^{2} $$
Explanation
Step 1: Since 428 do not have a decimal point, we will add one at the end of the number 428.
428.
Step 2: 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).
4.28.
Step 3: We moved the decimal point 2 spaces to the right. Therefore, the exponent on base 10 will be positive 2.Now we know that the:
Mantissa = 4.28
Exponent = 2
So, the solution is:
$$428 = \color{blue}{ 4.28} \cdot 10^{ \color{red}{ 2 }}$$This page was created using
Scientific notation Calculator