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Study Guides > Prealgebra

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]
 

TRY IT

#145358
 

Exercises

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

Answer: Solution: The word quotient tells us to divide.

the quotient of [latex]−56[/latex] and [latex]−7[/latex]
Translate. [latex]-56\div \left(-7\right)[/latex]
Simplify. [latex]8[/latex]

 

TRY IT

#145360 [ohm_question]145360[/ohm_question]
The following video shows more examples of how to translate expressions that contain integer multiplication and division. https://youtu.be/FWI4pzT3GpY

Licenses & Attributions

CC licensed content, Shared previously

  • Write and Determine Products and Quotients From Statements. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
  • Question ID: 145358, 145360. Authored by: Alyson Day. License: CC BY: Attribution. License terms: IMathAS Community License CC-BY + GPL.

CC licensed content, Specific attribution