The document discusses scientific notation, which uses exponents to write very large or small numbers conveniently without many zeros. Scientific notation is written as a number from 1 to 9 multiplied by 10 raised to an exponent. The document provides examples of converting numbers to and from scientific notation. It explains that a positive exponent moves the decimal point right, indicating a large number, while a negative exponent moves it left, indicating a small number.

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SLIDESMANIA.COM
SCIENTIFIC
NOTATION
Week 8- Quarter 1
7- MATHEMATICS
C % X2 <
7 8 9 /
4 5 6 X
1 2 3 +
CE 0 . =

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SLIDESMANIA.COM
__________1. Five hundred forty-three.
Learning Task 1. How do you write
the following in figures?
__________2. One thousand sixty-eight.
__________3. Two tenths.
__________4. Five million three hundred thousand.
__________5. Eight hundred fifty-seven thousandths.
543
1 068
0.2
5 300 000
0.857

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SLIDESMANIA.COM
SCIENTIFIC NOTATION
is a system of notation used to express very
large or very small numbers conveniently. It
uses exponents so as not to require the use of
many zeros which can be confusing and lead to
errors.
A scientific notation is written in the form ,
……... where . It is written
as a number from 1 through 9 multiplied by
10 raised to the appropriate exponent.

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Illustrative Example 1.
C % X
2 <
7 8 9 /
4 5 6 X
1 2 3 +
C
E 0 . =
The distance of the earth from the sun is approximately
93 000 000 miles. Write this distance in scientific
notation.
93 000 000
The original number
is greater than 1,
so the exponent is
positive.
93 000 000 = 9.3
Solution:
10
x

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Illustrative Example 2.
C % X
2 <
7 8 9 /
4 5 6 X
1 2 3 +
C
E 0 . =
Write 0.00000000734 in scientific notation.
0.00000000734
The original number
is less than 1, so
the exponent is
negative.
0. 00000000734 = 7.34
Solution:
x 10

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Illustrative Example 3.
C % X
2 <
7 8 9 /
4 5 6 X
1 2 3 +
C
E 0 . =
Write 4.7 x 10 in decimal form or standard form.
4.7
Since, the given
exponent of 10 is
positive ,move the
decimal point to the
right.
4.7 x 10 = 470 000 000
Solution:
0000000
The positive exponent
indicates a large
number.

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Illustrative Example 4.
C % X
2 <
7 8 9 /
4 5 6 X
1 2 3 +
C
E 0 . =
Write 2.51 x 10 in decimal form or standard
form.
2.51
Since, the given
exponent of 10 is
negative ,move the
decimal point to the
left.
2.51 x 10 = 0. 000251
Solution:
0
The negative
exponent indicates a
small number.
0
0
0

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Thank you for Listening!
PREPARED BY:
QUEENNIE P. FLORIANO
Teacher III