Problem Solving Strategies Question
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Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.1
Using dimensional analysis, the following calculation can be performed to convert between 3 pounds and its equivalent in grams (using the rate of 1 oz equals 28.3 g).
3 lb1×16 oz1 lb×28.3 g1 oz=1,358.4 g
Mathematically, why can 3 be multiplied by the factors 16 oz1 lb and 28.3 g1 oz?
3 lb1×16 oz1 lb×28.3 g1 oz=1,358.4 g
Mathematically, why can 3 be multiplied by the factors 16 oz1 lb and 28.3 g1 oz?
- 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.