What Unit Should Be Used in Division of Meter Squared by Meters?

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When dividing 1,035m² by 42m, the resulting unit is meters (m), not square meters (m²). This is because the division simplifies the units similarly to algebraic expressions, where m² divided by m results in m. The answer should reflect the significant figures of the measurement with the least precision, which in this case is 42m with two significant digits, leading to a final answer of 25m. Understanding dimensional analysis is crucial for correctly handling units in calculations. Proper unit simplification is essential in mathematical operations involving measurements.
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Homework Statement



1,035m^2 / 42m

What unit will I use? m or m^2

Homework Equations





The Attempt at a Solution



25.0m
 
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If 42m only has 2 SDs, then so should your answer.
 
lewando said:
If 42m only has 2 SDs, then so should your answer.

25m ? not m^2
 
Yes. Treat units just like they were any other factor. You would simplify it the same way you would simplify an algebraic expression like 1035a2/25a. Soon you will be exposed to something called dimensional analysis, a very useful thing to understand.
 

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