## 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

- To determine the sign of the product of two signed numbers:
**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

- To determine the sign of the quotient of two signed numbers:
**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]

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