Math  /  Geometry

QuestionFind the area of a rectangle with sides 7.6×102 cm7.6 \times 10^{2} \mathrm{~cm} and 1.5×103 cm1.5 \times 10^{3} \mathrm{~cm} in scientific notation. Then, calculate the percentage error of an estimate of 1200000 cm21200000 \mathrm{~cm}^{2}.

Studdy Solution
Calculate the percentage error.
Percentageerror=140000 cm21.14×106 cm2×100%=12.28%Percentage\, error = \frac{|-140000 \mathrm{~cm}^{2}|}{1.14 \times10^{6} \mathrm{~cm}^{2}} \times100\% =12.28\%The actual area of the rectangle is 1.14×106 cm21.14 \times10^{6} \mathrm{~cm}^{2} and the percentage error in Natalie's estimate is12.28%.

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