### Video Transcript

What is forty million written in scientific notation?

Scientific notation is a compact way of writing very large or very small numbers. Scientific notation is in the form, ๐ times ten to the ๐. Or ๐ is your factor,
greater than or equal to one but less than ten, and ๐ will be your power of ten, which is your
exponent. Letโs first begin by writing forty million.

Forty million is the same as forty million point zero, meaning letโs add in a
decimal point. Itโs important to have a decimal point because we will be moving it in order to
put our number in scientific notation. We need to move our decimal point to the right of the first nonzero digit, when
youโre looking at your number left to right. So the first nonzero digit would be four. And we need to move our decimal point to the right of that first nonzero digit. So now we need to scout and actually see how many places did we move our decimal
point.

So going back to where our decimal point originally was, we moved our decimal
point seven places. If we move our decimal point to the left, we will have a positive exponent as
our power of ten. If we would move our decimal place to the right, we would have a negative
exponent as our power of ten.

So forty million written in scientific notation would be four times ten to the
seventh. If we think about our answer, four times ten to the seventh, four is our factor. And then we will be multiplying by ten to the seventh power. Ten to the seventh power is ten multiplied to
itself seven times, and that answer is ten million. And four times ten million is forty million. So our final answer, what is forty million written in scientific
notation, it is four times ten to the seventh power.