Scientific Notation – Powers of Ten

Powers of 10

For FREE access to this lesson, select your course from the categories below.

Students learn that a power of ten is an expression written in exponential form that has a base of ten. For example, 10^3 and 10^(-4) are powers of ten. To write a power of ten, such as 10^3, in standard form, begin with 1.0. Next, since the exponent on the power of ten is positive, move the decimal point to the right 3 places, to get 1000. So 10^3 in standard form is 1000. Note that if the exponent on the power of ten is negative, the decimal on the 1.0 is moved to the left. Students also learn to write a number as a power of ten, such as 0.0000001, by determining the number of places the decimal must be moved to get 1.0, which in this case is 7 places. Next, since the original number is a decimal, the exponent will be negative, so the answer is 10^(-7). Note that if the original number is a whole number, then the exponent will be positive.
We help you determine the exact lessons you need.
We provide you thorough instruction of every step.
We`re by your side as you try problems yourself.
We test your knowledge until you`ve got it down.
We build your foundation if you`re struggling.
Login to your account
Enter your information to sign in
Lesson limit reached

The learning doesn't have to stop!

Become a MathHelp.com member today and receive unlimited access to lessons, grade reports, practice tests, and more!

Become a member

Already a member?

The learning doesn't have to stop!

Become a MathHelp.com member today and receive unlimited access to lessons, grade reports, reviews and more!

Become a member
Select your category
Test Prep
Tutoring
Homeschooling
Cancel
Which test are you preparing for?
Cancel
Select your level
Cancel