Scientific Notation for Kids: Write Huge and Tiny Numbers Fast (Grade 8 Math)

Hi, I'm Luna from DoodleBeez. Today we are learning scientific notation. Scientists use it to write very big and very small numbers quickly, like the distance from Earth to the Sun.

A number in scientific notation has two parts. The first part is at least one but less than ten. The second part is ten raised to a power. The two parts are multiplied together.

Let's write three million five hundred thousand. Put the decimal point after the three to get three point five. The point moved six places to the left, so the answer is three point five times ten to the sixth.

For tiny numbers, the exponent is negative. Take zero point zero zero zero four two. Move the decimal point right four places to get four point two. So it is four point two times ten to the negative fourth.

To go back to standard form, move the decimal point. Seven point two times ten to the fifth means move the point five places to the right. That gives seven hundred twenty thousand.

To compare, look at the exponents first. Three times ten to the eighth is bigger than nine times ten to the sixth, because ten to the eighth is one hundred times bigger than ten to the sixth.

Now it's your turn. Write forty five thousand in scientific notation. Pause and try. Put the point after the four to get four point five. It moved four places left, so the answer is four point five times ten to the fourth.

Great job! Remember, scientific notation is a number at least one and less than ten, times a power of ten. Big numbers have positive exponents, tiny numbers have negative ones. Practice scientific notation in Middle School Math at doodlebeez.com. See you next time!