Translating Word Phrases into Expressions With Integers Using Multiplication and Division

Learning Outcomes

  • Translate expressions with integers 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]

 

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https://ohm.lumenlearning.com/multiembedq2.php?id=145358&theme=oea&iframe_resize_id=mom1

 

Exercises

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

 

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