Operations with Monomials

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Section 4.3

• Operations with Monomials

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Definition Monomial

• A monomial is a one-term expression that is
  either a constant (number) or the product of a
  constant and one or more variables raised to
  whole number exponents.

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Example 1 of Multiplication and Division of
Monomials

• Sign
• Number
• Variable

• Negative
• 12
• x(2 3) x5

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Example 2 of Multiplication and Division of
Monomials

• Sign
• Number
• Variable x
• Variable y

• Positive
• 8
• x(5 3) x8
• y(2 1) y3

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Example 3 of Multiplication and Division of
Monomials

• Sign
• Number
• Variable x

• Positive
• 5
• x(3 2) x1

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Example 4 of Multiplication and Division of
Monomials

• Sign
• Number
• Variable x
• Variable y

• Positive
• 13
• x(2 1) x1
• y(3 5) y-2

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Scientific Notation
8
Scientific Notation
4
Not Scientific
9
Scientific Notation
10
Scientific Notation
10
Not Scientific
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Definition Similar Terms

• Two terms (monomials) with the same variable part
  (same variables raised to the same powers) are
  called similar terms. (Like Terms)

Like terms can be added.
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Combine by adding or subtracting.
13
Combine by adding or subtracting.
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Getting Ready for Class

• What is a monomial?
• Describe how you would add 3x2 and 5x2.
• Describe how you would multiply 3x2 and 5x2.
• Describe how you would multiply two numbers
  written in scientific notation.

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Homework 4.3

• p. 268
• 1-79 odd