Exponents And Scientific Notation Worksheet Page 2
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1
2
3
4Model Problem
Write 0.0000034 in scientific notation.
SOLUTION
0.0000034
=
3.4 X
10-6
T
T
T
Move the decimal point
number between 1 and 10
negative 6
th
power of 10
6 places to the right.
Model Problem
Write 21,400 in scientific notation.
SOLUTION
21,400. =
114
x
104
Move the decimal point
number between 1 and 10
4th power of 10
4 places to the left.
To Write a Standard Number Between 0 and 1 in Scientific Notation
• Move the decimal point to make the number a decimal between 1 and 10.
• Count how many places you moved the decimal point to the right.
• Write the negative of the number of places the decimal moved as the exponent.
Note: In scientifienotation, if a number is greater than or equal to 10, the expo-
nent of the power of 10 is positive. If a number is greater than or equal to 1 but
less than 10, the exponent of the power of 10 is zero. If a number is between 0 and
1, the exponent of the power of 10 is negative.
To change a number in scientific notation to standard form, multiply.
To Multiply by a Power of 10
• To multiply a decimal by a positive power of 10, move the decimal point one
place to the right for each power of 10.
5.68
x
10 = 56.8
5.68 X 10
2
= 568
5.68
x 103
= 5680 e add zero as a placeholder
• To multiply a decimal by a negative power of 10, move the decimal point one
place to the left for each power of 10.
87.25 X 10-
1
= 8.725
87.25 X 10-
2
= 0.8725
87.25
x 10-3
= 0.08725 e add zero as a placeholder
36
Chapter 1: Numeration
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