-
Home
- Elementary algebra
- Polynomials
- Integer exponents and scientific
The steps are summarized below.
Convert scientific notation to decimal form.
To convert scientific notation to decimal form:
- Determine the exponent,
, on the factor 10.
- Move the decimal
places, adding zeros if needed.
- If the exponent is positive, move the decimal point
places to the right.
- If the exponent is negative, move the decimal point
places to the left.
- Check.
Multiply and divide using scientific notation
Astronomers use very large numbers to describe distances in the universe and ages of stars and planets. Chemists use very small numbers to describe the size of an atom or the charge on an electron. When scientists perform calculations with very large or very small numbers, they use scientific notation. Scientific notation provides a way for the calculations to be done without writing a lot of zeros. We will see how the Properties of Exponents are used to multiply and divide numbers in scientific notation.
Key concepts
-
Property of Negative Exponents
- If
is a positive integer and
, then
-
Quotient to a Negative Exponent
- If
are real numbers,
and
is an integer , then
-
To convert a decimal to scientific notation:
- Move the decimal point so that the first factor is greater than or equal to 1 but less than 10.
- Count the number of decimal places,
, that the decimal point was moved.
- Write the number as a product with a power of 10. If the original number is:
- greater than 1, the power of 10 will be
- between 0 and 1, the power of 10 will be
- Check.
-
To convert scientific notation to decimal form:
- Determine the exponent,
, on the factor 10.
- Move the decimal
places, adding zeros if needed.
- If the exponent is positive, move the decimal point
places to the right.
- If the exponent is negative, move the decimal point
places to the left.
- Check.
Questions & Answers
how to study physic and understand
what is conservative force with examples
Moses
the transfer of energy by a force that causes an object to be displaced; the product of the component of the force in the direction of the displacement and the magnitude of the displacement
AI-Robot
why is it from light to gravity
difference between model and theory
Esther
Is the ship moving at a constant velocity?
The full note of modern physics
introduction to applications of nuclear physics
the explanation is not in full details
I need more explanation or all about kinematics
Moses
I need more explanation or all about nuclear physics
aluet
Show that the equal masses particles emarge from collision at right angle by making explicit used of fact that momentum is a vector quantity
A wave is described by the function D(x,t)=(1.6cm) sin[(1.2cm^-1(x+6.8cm/st] what are:a.Amplitude b. wavelength c. wave number d. frequency e. period f. velocity of speed.
what is frontier of physics
A body is projected upward at an angle 45° 18minutes with the horizontal with an initial speed of 40km per second. In hoe many seconds will the body reach the ground then how far from the point of projection will it strike. At what angle will the horizontal will strike
Suppose hydrogen and oxygen are diffusing through air. A small amount of each is released simultaneously. How much time passes before the hydrogen is 1.00 s ahead of the oxygen? Such differences in arrival times are used as an analytical tool in gas chromatography.
what's the definition of physics
the science concerned with describing the interactions of energy, matter, space, and time; it is especially interested in what fundamental mechanisms underlie every phenomenon
AI-Robot
nuclei having the same Z and different N s
AI-Robot
Got questions? Join the online conversation and get instant answers!
Source:
OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
Google Play and the Google Play logo are trademarks of Google Inc.