### Learning Outcomes

- Translate word phrases involving multiplication or division to algebraic expressions and simplify

Once again, all our prior work translating words to algebra transfers to phrases that include both multiplying and dividing integers. Remember that the key word for multiplication is *product* and for division is *quotient.*

### Exercises

Translate to an algebraic expression and simplify if possible: the product of [latex]-2[/latex] and [latex]14[/latex].

Solution:

The word *product* tells us to multiply.

the product of [latex]-2[/latex] and [latex]14[/latex] | |

Translate. | [latex]\left(-2\right)\left(14\right)[/latex] |

Simplify. | [latex]-28[/latex] |

### TRY IT

### Exercises

Translate to an algebraic expression and simplify if possible: the quotient of [latex]-56[/latex] and [latex]-7[/latex].

Show Solution

### TRY IT

The following video shows more examples of how to translate expressions that contain integer multiplication and division.