College Prep Sheet - Section 5a - Getting Ready For Chapter 5 Page 3

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Examples: Write the following in scientific notation.
Q)
Move the decimal 5 places to the left (the original number is
greater than 1), so the exponent is +5.
R)
Move the decimal 2 places to the right (the initial number is
less than 1), so the exponent is -2.
REVERSING THE PROCESS (going from scientific notation to decimal notation):
Look at the exponent on the 10. If the exponent is negative, move the decimal N spaces to the left (toward
the negative end of the number line). If the exponent is positive, move the decimal N spaces to the right (toward the
positive end of the number line).
Examples:
Write the following in decimal notation.
S)
The positive exponent means the decimal moves to the
right.
T)
The negative exponent moves the decimal to the left.
MULTIPLYING & DIVIDING WITH SCIENTIFIC NOTATION.
Follow the usual rules of exponents, except separate the pieces. Simplify the numbers, then add/subtract the
exponents on the 10’s.
Examples:
U)
V)
W)
X)
page 351: # 19-24, 31, 33, 37, 41, 45, 51, 57, 65, 69, 71, 81, 83, 85, 87, 91, 101, 105, 115,
Homework:
117, 121, 131.

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