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Key Concepts

• Multiplication of Signed Numbers
  • To determine the sign of the product of two signed numbers:
    

    Same Signs	Product
    Two positives Two negatives	Positive Positive

    Different Signs	Product
    Positive • negative Negative • positive	Negative Negative

• Division of Signed Numbers
  • To determine the sign of the quotient of two signed numbers:
    

    Same Signs	Quotient
    Two positives Two negatives	Positive Positive

    Different Signs	Quotient
    Positive • negative Negative • Positive	Negative Negative

• Multiplication by [latex]-1[/latex]
  • Multiplying a number by [latex]-1[/latex] gives its opposite: [latex]-1(a)=-a[/latex]
• Division by [latex]-1[/latex]
  • Dividing a number by [latex]-1[/latex] gives its opposite: [latex]a\div(-1)=-a[/latex]