Mathematics » Introducing Integers » Multiply and Divide Integers

Key Concepts

Key Concepts

  • Multiplication of Signed Numbers
    • To determine the sign of the product of two signed numbers:
      Same SignsProduct
      Two positives

       

      Two negatives

      Positive

       

      Positive

       
      Different SignsProduct
      Positive • negative

       

      Negative • positive

      Negative

       

      Negative

  • Division of Signed Numbers
    • To determine the sign of the quotient of two signed numbers:
      Same SignsQuotient
      Two positives

       

      Two negatives

      Positive

       

      Positive

       
      Different SignsQuotient
      Positive • negative

       

      Negative • Positive

      Negative

       

      Negative

  • Multiplication by \(-1\)
    • Multiplying a number by \(-1\) gives its opposite: \(-1a=-a\)
  • Division by \(-1\)
    • Dividing a number by \(-1\) gives its opposite: \(a÷\left(-1\right)=\mathit{\text{−a}}\)

 

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