Question 1

Use the rules for addition of measurements to find the sum of the set of measurements.
14,000 W; 18,200 W; 1,720 W; 64,300 W
__________ W

Accepted Answer

The answer of Use the rules for addition of measurements...

Question 2

Find the measurement that is the least precise.

Accepted Answer

Precision in measurements is determined by the number of significant digits or the smallest division of measurement. In this case, "600 ft" has the least precision because it suggests a level of precision only to the nearest hundred feet, whereas the other measurements suggest precision to the nearest foot.

Question 3

Use the rules for subtraction of measurements to subtract the second measurement from the first.   $68.86$       mm $44.4$        mm

Accepted Answer

The answer of Use the rules for subtraction of measurements...

Question 4

To compensate for too much cargo on a plane with 32.87 gal of fuel, fuel is drained. First 1.4 gal are drained, then another 3.25 gal. After this, how much fuel is left? Use the rules for addition and subtraction of measurements.

Accepted Answer

The answer of To compensate for too much cargo on...

Question 5

Use the rules for addition of measurements to find the sum of the set of measurements.   $626 \text { in. } \quad 85.1 \text { in. } \quad 95 \text { in. }$

Accepted Answer

To add measurements, we simply add the numbers together.

$626 + 85.1 + 95 = 806.1$

Therefore, the sum of the set of measurements is 806.1 inches.

The answer is D, which matches the result we obtained.

Question 6

Find the measurement that is the most accurate.

Accepted Answer

The measurement 665.7 km is the most accurate because it has the highest number of significant figures (four), indicating the highest level of precision in the measurement.

Question 7

Use the rules for subtraction of measurements to subtract the second measurement from the first. $8.000$       in $6.006$       in

Accepted Answer

The correct subtraction of $8.000$ in from $6.006$ in is $1.994$ in. When subtracting, align the decimal points and subtract each digit, which gives the result $1.994$.

Question 8

Use the rules for addition of measurements to find the sum of the set of measurements.
217 in.; 21.7 in.; 19 in.
__________ in.

Accepted Answer

The answer of Use the rules for addition of measurements...

Question 9

Find the measurement that is the least accurate.

Accepted Answer

The answer of Find the measurement that is the least...

Question 10

The antifreeze of a car leaks. One day it lost 0.98 gal, a second day it lost 0.3 gal, and a third day it lost 0.33 gal. What is the total antifreeze lost over the three-day period? Use the rules for addition and subtraction of measurements.

Accepted Answer

The total antifreeze lost is the sum of the losses over the three days: 0.98 gal + 0.3 gal + 0.33 gal = 1.61 gal. However, when considering significant figures and the rules for addition and subtraction of measurements, the answer should be rounded to the least precise measurement, which is 0.3 gal (one decimal place). Therefore, the correct answer, rounded appropriately, is 1.6 gal.

Question 11

Use the rules for addition of measurements to find the sum of the set of measurements.   $\begin{array} { l l l l } 
1.574 \mathrm {~cm} & 6.89 \mathrm {~mm} & 34.96 \mathrm {~cm} & 316 \mathrm {~mm}
\end{array}$

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.

Question 12

Find the measurement that is the least precise.

Accepted Answer

Measurement A, $3,800,000$ V, is the least precise because it has the fewest significant figures (two) compared to the other options.

Question 13

A welder cuts several pieces of steel angle of lengths 3.99 ft, 2.44 ft, 2.3 ft, and 7.0 ft. What is the total length of the pieces? Use the rules for addition and subtraction of measurements.

Accepted Answer

The answer of A welder cuts several pieces of steel...

Question 14

Use the rules for addition of measurements to find the sum of the set of measurements.
270.6 cm; 26.4 cm; 6.989 m
__________ cm

Accepted Answer

The answer of Use the rules for addition of measurements...

Question 15

Use the rules for addition of measurements to find the sum of the set of measurements.
16.427 cm; 6.73 mm; 32.65 cm; 157 mm
__________ cm

Accepted Answer

The answer of Use the rules for addition of measurements...

Question 16

Find the measurement that is the most precise.

Accepted Answer

Choice B has a repeating zero, indicating that the measurement has been taken to the highest degree of precision. The other choices do not have any indication of additional precision beyond the significant digits present.

Question 17

Use the rules for subtraction of measurements to subtract the second measurement from the first. $5,500,000$        mm $684,000$          mm

Accepted Answer

Subtracting $684,000$ mm from $5,500,000$ mm gives $5,500,000 - 684,000 = 4,816,000$ mm. However, due to a mistake in my explanation, the correct calculation actually matches option D, not A. My initial instruction was incorrect. The correct subtraction is indeed $5,500,000 - 684,000 = 4,816,000$, which corresponds to option D, not A.

Question 18

Use the rules for subtraction of measurements to subtract the second measurement from the first. $73.26$          oz $63.468$        oz

Accepted Answer

The correct answer is A because 73.26 - 63.468 = 9.792, which rounds to 9.79 when reported to the correct number of significant figures.

Question 19

A six room building has the following supply air requirements. A = 670 ft ³ /min, B = 537 ft ³ /min, C = 46 ft ³ /min, and D = 990 ft ³ /min. What is the required HVAC unit supply air flow? Use the rules for addition and subtraction of measurements.

Accepted Answer

The answer of A six room building has the following...

Question 20

Find the measurement that is the least accurate.

Accepted Answer

The number $900,000$ has the least number of significant figures (1), making it the least accurate measurement compared to the others.

Quiz 4: Measurement

Use the rules for addition of measurements to find the sum of the set of measurements. 14,000 W; 18,200 W; 1,720 W; 64,300 W __________ W

Find the measurement that is the least precise.

Use the rules for subtraction of measurements to subtract the second measurement from the first. $68.86$ mm $44.4$ mm

To compensate for too much cargo on a plane with 32.87 gal of fuel, fuel is drained. First 1.4 gal are drained, then another 3.25 gal. After this, how much fuel is left? Use the rules for addition and subtraction of measurements.

Use the rules for addition of measurements to find the sum of the set of measurements. $626 \text { in. } \quad 85.1 \text { in. } \quad 95 \text { in. }$

Find the measurement that is the most accurate.

Use the rules for subtraction of measurements to subtract the second measurement from the first. $8.000$ in $6.006$ in

Use the rules for addition of measurements to find the sum of the set of measurements. 217 in.; 21.7 in.; 19 in. __________ in.

Find the measurement that is the least accurate.

The antifreeze of a car leaks. One day it lost 0.98 gal, a second day it lost 0.3 gal, and a third day it lost 0.33 gal. What is the total antifreeze lost over the three-day period? Use the rules for addition and subtraction of measurements.

Use the rules for addition of measurements to find the sum of the set of measurements. $\begin{array} { l l l l } 1.574 \mathrm {~cm} & 6.89 \mathrm {~mm} & 34.96 \mathrm {~cm} & 316 \mathrm {~mm}\end{array}$

Find the measurement that is the least precise.

A welder cuts several pieces of steel angle of lengths 3.99 ft, 2.44 ft, 2.3 ft, and 7.0 ft. What is the total length of the pieces? Use the rules for addition and subtraction of measurements.

Use the rules for addition of measurements to find the sum of the set of measurements. 270.6 cm; 26.4 cm; 6.989 m __________ cm

Use the rules for addition of measurements to find the sum of the set of measurements. 16.427 cm; 6.73 mm; 32.65 cm; 157 mm __________ cm

Find the measurement that is the most precise.

Use the rules for subtraction of measurements to subtract the second measurement from the first. $5,500,000$ mm $684,000$ mm

Use the rules for subtraction of measurements to subtract the second measurement from the first. $73.26$ oz $63.468$ oz

A six room building has the following supply air requirements. A = 670 ft ³ /min, B = 537 ft ³ /min, C = 46 ft ³ /min, and D = 990 ft ³ /min. What is the required HVAC unit supply air flow? Use the rules for addition and subtraction of measurements.

Find the measurement that is the least accurate.

Quiz 4: Measurement

Use the rules for addition of measurements to find the sum of the set of measurements. 14,000 W; 18,200 W; 1,720 W; 64,300 W __________ W

Find the measurement that is the least precise.

Use the rules for subtraction of measurements to subtract the second measurement from the first. 68.8668.8668.86 mm 44.444.444.4 mm

To compensate for too much cargo on a plane with 32.87 gal of fuel, fuel is drained. First 1.4 gal are drained, then another 3.25 gal. After this, how much fuel is left? Use the rules for addition and subtraction of measurements.

Use the rules for addition of measurements to find the sum of the set of measurements. 626 in. 85.1 in. 95 in. 626 \text { in. } \quad 85.1 \text { in. } \quad 95 \text { in. }626 in. 85.1 in. 95 in.

Find the measurement that is the most accurate.

Use the rules for subtraction of measurements to subtract the second measurement from the first. 8.0008.0008.000 in 6.0066.0066.006 in

Use the rules for addition of measurements to find the sum of the set of measurements. 217 in.; 21.7 in.; 19 in. __________ in.

Find the measurement that is the least accurate.

The antifreeze of a car leaks. One day it lost 0.98 gal, a second day it lost 0.3 gal, and a third day it lost 0.33 gal. What is the total antifreeze lost over the three-day period? Use the rules for addition and subtraction of measurements.

Use the rules for addition of measurements to find the sum of the set of measurements. 1.574 cm6.89 mm34.96 cm316 mm\begin{array} { l l l l } 1.574 \mathrm {~cm} & 6.89 \mathrm {~mm} & 34.96 \mathrm {~cm} & 316 \mathrm {~mm}\end{array}1.574 cm​6.89 mm​34.96 cm​316 mm​

Find the measurement that is the least precise.

A welder cuts several pieces of steel angle of lengths 3.99 ft, 2.44 ft, 2.3 ft, and 7.0 ft. What is the total length of the pieces? Use the rules for addition and subtraction of measurements.

Use the rules for addition of measurements to find the sum of the set of measurements. 270.6 cm; 26.4 cm; 6.989 m __________ cm

Use the rules for addition of measurements to find the sum of the set of measurements. 16.427 cm; 6.73 mm; 32.65 cm; 157 mm __________ cm

Find the measurement that is the most precise.

Use the rules for subtraction of measurements to subtract the second measurement from the first. 5,500,0005,500,0005,500,000 mm 684,000684,000684,000 mm

Use the rules for subtraction of measurements to subtract the second measurement from the first. 73.2673.2673.26 oz 63.46863.46863.468 oz

A six room building has the following supply air requirements. A = 670 ft 3 /min, B = 537 ft 3 /min, C = 46 ft 3 /min, and D = 990 ft 3 /min. What is the required HVAC unit supply air flow? Use the rules for addition and subtraction of measurements.

Find the measurement that is the least accurate.

Use the rules for subtraction of measurements to subtract the second measurement from the first. $68.86$ mm $44.4$ mm

Use the rules for addition of measurements to find the sum of the set of measurements. $626 \text { in. } \quad 85.1 \text { in. } \quad 95 \text { in. }$

Use the rules for subtraction of measurements to subtract the second measurement from the first. $8.000$ in $6.006$ in

Use the rules for addition of measurements to find the sum of the set of measurements. $\begin{array} { l l l l } 1.574 \mathrm {~cm} & 6.89 \mathrm {~mm} & 34.96 \mathrm {~cm} & 316 \mathrm {~mm}\end{array}$

Use the rules for subtraction of measurements to subtract the second measurement from the first. $5,500,000$ mm $684,000$ mm

Use the rules for subtraction of measurements to subtract the second measurement from the first. $73.26$ oz $63.468$ oz

A six room building has the following supply air requirements. A = 670 ft ³ /min, B = 537 ft ³ /min, C = 46 ft ³ /min, and D = 990 ft ³ /min. What is the required HVAC unit supply air flow? Use the rules for addition and subtraction of measurements.