home observation science solar system stars our galaxy cosmology astrobiology exoplanets astrophotography
icon Introduction
icon Astronomy Tools
1. Electromagnetic Spectrum
2. Atmosphere Limitations
3. Space Observations
1. Telescopes
2. Radio
3. Space Tools
4. Photography
5. Spectroscopy
6. Computers
7. Advanced Methods
8. Radio Astronomy
icon Basic Mathematics
Scientific Notation
Log Scales
icon Physics
- Basic Units of Measure
- Mass & Density
- Temperature
- Velocity & Acceleration
- Force, Pressure & Energy
- Atoms
- Quantum Physics
- Nature of Light
- Brightness
- Cepheid Rulers
- Distance
- Doppler Shift
- Frequency & Wavelength
- Hubble's Law
- Inverse Square Law
- Kinetic Energy
- Luminosity
- Magnitudes
- Convert Mass to Energy
- Kepler & Newton - Orbits
- Parallax
- Planck's Law
- Relativistic Redshift
- Relativity
- Schwarzschild Radius 
- Synodic & Sidereal Periods
- Sidereal Time
- Small Angle Formula
- Stellar Properties 
- Stephan-Boltzmann Law
- Telescope Related
- Temperature
- Tidal Forces
- Wien's Law
icon Computer Models
icon Additional Resources
1. Advanced Topics
2. Guest Contributions
Basic Mathematics - Scientific Notation

Scientific Notation and Powers of Ten go hand in hand.

Powers of Ten
Scientific Notation

Powers of Ten:

When adding, dividing, or multiplying "10's," its a simple manner of remembering the zeros.

For example:

Carry the one over, and add the zeros in a row.

When dealing with powers, that is some number raised to some number, that number is multiplied by itself:

When multiplying to ten-power values, all that is needed is to add the powers:

Any negative ten-power number is equal to one over that number:

When dividing ten-power numbers, all that is needed is to subtract the powers:

Back to Top

Scientific Notation:

Scientific notation is the process of simplifying very large numbers. Image a value:


Or this:

1,000,000,000,000,000,000,000 x 1,000,000,000,000,000

Such large numbers will make it easier to forget a zero. I don't know about you, but when I see so many zero's the value begins to look blurry! This is the reason for using Scientific Notation:

1,000,000,000,000,000,000,000,000 = 1.0 x 1023

And when you are multiplying or dividing the values, the rules for powers or ten apply.

Back to Top

Search | Site Map | Appendix
©2004 - 2024 Astronomy Online. All rights reserved. Contact Us. Legal. Creative Commons License
The works within is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.