Vocabulary To Know
Exponent- how many times you multiply the base by itself
Ex. 3⁴ = 3 x 3 x 3 x 3
Coefficient- the number that is left over after you take away all the zeros
Ex. 300,000 = 3 x 10⁵
When you are doing scientific notation you first will have a really big number,
And you will have to make an equation with that number
400,000,000 = 4
The next step is to ask 'How many zeros were in that number?' Then however many zeros were in it, will become your exponent to your 10 or you can move the decimal to the left until all the zeros are behind it.
4 x 10⁸
Got it? Okay, why don't we try some together.
Write a scientific notation for each problem.
More To Know
If you get a number like this
You don't freak, and move the decimal to the right as many times as you need
Then however many numbers that are to the left of the decimal is the exponent
5.6 x 10-⁷
You put a negative in front of the exponent because you moved the decimal the opposite way
Now I want you to try to write the actual number to a scientific notation.
1.) 3 x 10^-⁹
2.) 14 x 10^⁰