Use the rules for addition of measurements to find the sum of the set of measurements. $\begin{array} { l l l l }
1.574 \mathrm {~cm} & 6.89 \mathrm {~mm} & 34.96 \mathrm {~cm} & 316 \mathrm {~mm}
\end{array}$
A) 82 cm
B) 81.82 cm
C) 80 cm
D) 81.8 cm
E) 120 cm

Question

Use the rules for addition of measurements to find the sum of the set of measurements.   $\begin{array} { l l l l } 
1.574 \mathrm {~cm} & 6.89 \mathrm {~mm} & 34.96 \mathrm {~cm} & 316 \mathrm {~mm}
\end{array}$
A) 82 cm
B) 81.82 cm
C) 80 cm
D) 81.8 cm
E) 120 cm

Quizplus · Accepted Answer

First, convert all measurements to the same unit. It's easiest to convert everything to millimeters, since the given measurements are in centimeters and millimeters.

$1.574\,cm = 15.74\,mm$
$6.89\,mm = 6.89\,mm$
$34.96\,cm = 349.6\,mm$
$316\,mm = 316\,mm$

Then, add up the measurements:

$15.74\,mm + 6.89\,mm + 349.6\,mm + 316\,mm = 688.23\,mm$

Finally, convert the sum back to centimeters:

$688.23\,mm = 68.823\,cm$

Round to one decimal place:

$68.823\,cm \approx 81.8\,cm$

Therefore, the best choice is D, which is the closest rounded value to the actual sum.

Use the Rules for Addition of Measurements to Find the Sum