# Problem Solving Strategies Question

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## Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.1

[math](3 \ "lb")/1 xx (16 \ "oz") / (1 \ "lb") xx (28.3 \ "g")/(1 \ "oz") = 1,358.4 \ "g"[/math]

Mathematically, why can 3 be multiplied by the factors [math] (16 \ "oz") / (1 \ "lb")[/math] and [math](28.3 \ "g")/(1 \ "oz") ?[/math]

- Because this is dimensional analysis, regular rules of math do not apply.
- Since the necessary units cancel out, there is no problem.
- Because each of these factors is equal to one (the numerator and denominator are equal, but in different units).
- By the Multiplicative Property of Equality.