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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
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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
Explain the following terms .
(1) Abiotic factors in an ecosystem
Abiotic factors are non living components of ecosystem.These include physical and chemical elements like temperature,light,water,soil,air quality and oxygen etc
Qasim
passive process of transport of low-molecular weight material according to its concentration gradient
AI-Robot
what is production?
Catherine
how did the oxygen help a human being
how did the nutrition help the plants
Biology is a branch of Natural science which deals/About living Organism.
evolutionary history and relationship of an organism or group of organisms
AI-Robot
cell is the smallest unit of the humanity biologically
Abraham
HOW CAN MAN ORGAN FUNCTION
the diagram of the digestive system
allimentary cannel
Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
what is respiration
Deborah
Genetics is the study of heredity
Misack
how does twins formed?
Misack
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Source:
OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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